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Publications of Bernd Krauskopf


Contents: [ Journal Publications | Preprints | Books | Book Chapters | Proceedings Contributions ]

Journal Publications

Year: [ pre 97 | 97 | 98 | 99 | 00 | 01 | 02 | 03 | 04 | 05 | 06 | 07 | 08 | 09 | 10 | 11 | 12 | 13 | to appear | submitted]

  

    pre 1997

  1. B. Krauskopf, Convergence of Julia sets in the approximation of lambda exp(z) by lambda [1+(z/d)]d, Int. J. Bifurcation and Chaos 3(2) (1993) 257-270

  2. B. Krauskopf, Bifurcation sequences at 1:4 resonance: an inventory, Nonlinearity 7(3) (1994) 1073-1091

  3. B. Krauskopf, The bifurcation set for the 1:4 resonance problem, Experimental Mathematics 3(2) (1994) 107-128

  4. B. Krauskopf, The extended parameter space of a model for 1:4 resonance, CWI Quarterly 8(3) (1995) 237-255

  5. B. Krauskopf and H. Kriete, A note on non-converging Julia sets, Nonlinearity 9(2) (1996) 601-603

    6. 1997

  6. B. Krauskopf, Bifurcations at infinity in a model for 1:4 resonance, Ergodic Theory & Dynamical Systems 17(4) (1997) 899-931

  7. B. Krauskopf and H. Kriete, Kernel convergence of hyperbolic components, Ergodic Theory & Dynamical Systems 17(5) (1997) 1137-1146

  8. B. Krauskopf and H. Kriete, Hausdorff convergence and the limit shape of the unicorns, Experimental Mathematics 6(2) (1997) 117-135; featured on the cover!

  9. B. Krauskopf and C. Rousseau, Codimension-three unfoldings of reflectionally symmetric planar vector fields, Nonlinearity 10(5) (1997) 1115-1150

  10. B. Krauskopf, W.A. van der Graaf, and D. Lenstra, Bifurcations of relaxation oscillations in an optically injected diode laser, Quantum Semicl. Optics 9(5) (1997) 797-809; featured on the cover!

    11. 1998

  11. B. Krauskopf and H.M. Osinga, Globalizing two-dimensional unstable manifolds of maps, Int. J. Bifurcation and Chaos 8(3) (1998) 483-503; featured on the cover!

  12. B. Krauskopf and H.M. Osinga, Growing 1D and quasi 2D unstable manifolds of maps, J. Computational Physics 146(1) (1998) 404-419; with Multimedia enhancements at preprint 98-57 of MP_ARC

  13. A.I. Khibnik, B. Krauskopf, and C. Rousseau, Global study of a family of cubic Liénard equations, Nonlinearity 11(6) (1998) 1505-1519; with Multimedia enhancements

  14. B. Krauskopf, N. Tollenaar, and D. Lenstra, Tori and their bifurcations in an optically injected semiconductor laser, Optics Communications 156(1-3) (1998) 158-169

  15. B. Krauskopf, G.R. Gray, and D. Lenstra, Semiconductor laser with phase-conjugate feedback: Dynamics and bifurcations, Physical Review E 58(6) (1998) 7190-7197

    16. 1999

  16. B. Krauskopf and H. Kriete, Hausdorff convergence of Julia sets, Bulletin Belgian Math. Soc. Simon Stevin 6(1) (1999) 69-76

  17. J.L.A. Dubbeldam and B. Krauskopf, Self-pulsations of lasers with saturable absorber: dynamics and bifurcations, Optics Communications 159(4-6) (1999) 325-338

  18. B. Krauskopf and H.M. Osinga, Two-dimensional global manifolds of vector fields, CHAOS 9(3) (1999) 768-774; with Multimedia enhancements

  19. J.L.A. Dubbeldam, B. Krauskopf and D. Lenstra, Excitability and coherence resonance in lasers with saturable absorber, Physical Review E 60(6) (1999) 6580-6588

  20. S.M. Wieczorek, B. Krauskopf and D. Lenstra, A unifying view of bifurcations in a semiconductor laser subject to optical injection, Optics Communications 172(1-6) (1999) 279-295

    21. 2000

  21. B. Krauskopf, G.H.M. van Tartwijk and G.R. Gray, Symmetry properties of lasers subject to optical feedback, Optics Communications 177(1-6) (2000) 347-353

  22. B. Krauskopf, Chaos in halfgeleiderlasers, Nederlands tijdschrift voor Natuurkunde 66(6) (2000) 188-192; featured on the cover!

  23. C. Degen, B. Krauskopf, G. Jennemann, I. Fischer, and W. Elsässer, Polarization selective symmetry breaking in the nearfields of vertical cavity surface emitting lasers, Journal of Optics B: Quantum and Semiclassical Optics 2(4) (2000) 517-525; with Multimedia enhancements; featured on the cover!

  24. B. Krauskopf, S.M. Wieczorek and D. Lenstra, Different types of chaos in an optically injected semiconductor laser, Applied Physics Letters 77(11) (2000) 1611-1613

  25. S.M. Wieczorek, B. Krauskopf and D. Lenstra, Mechanisms for multistability in a semiconductor laser with optical injection, Optics Communications 183(1-4) (2000) 215-226

  26. A.J. Homburg and B. Krauskopf, Resonant homoclinic flip bifurcations, Journal of Dynamics and Differential Equations 12(4) (2000) 807-850

  27. B.E. Oldeman, B. Krauskopf and A.R. Champneys, Death of period-doublings: locating the homoclinic-doubling cascade, Physica D, 146(1-4) (2000) 100-120

    28. 2001

  28. B.E. Oldeman, B. Krauskopf and A.R. Champneys, Numerical unfoldings of codimension-three resonant homoclinic flip bifurcations, Nonlinearity 14(3) (2001) 597-621

  29. S.M. Wieczorek, B. Krauskopf and D. Lenstra, Sudden chaotic transitions in an optically injected semiconductor laser, Optics Letters 26(11) (2001) 816-818

  30. S.M. Wieczorek, B. Krauskopf and D. Lenstra, Unnested islands of period-doublings in an injected semiconductor laser, Physical Review E 64 056204 (2001) 1-9

    31. 2002

  31. S.M. Wieczorek, B. Krauskopf, and D. Lenstra, Multipulse excitability in a semiconductor laser with optical injection, Physical Review Letters 88(6) 063901 (2002) 1-4

  32. S.M. Wieczorek, T.B. Simpson, B. Krauskopf and D. Lenstra, Global quantitative predictions of complex laser dynamics, Physical Review E 65(4) 045207(R) (2002) 1-4

  33. K. Green and B. Krauskopf, Global bifurcations and bistability at the locking boundaries of a semiconductor laser with phase-conjugate feedback, Physical Review E, 66(1) 016220 (2002) 1-6

  34. H.M. Osinga and B. Krauskopf, Visualizing chaos in the Lorenz system, Computers and Graphics 26(5) (2002) 815-823

  35. B. Krauskopf and S.M. Wieczorek, Accumulating regions of winding periodic orbits in optically driven lasers, Physica D 173(1-2) (2002) 97-113

  36. K. Green, B. Krauskopf and K. Engelborghs, Bistability and torus break-up in a semiconductor laser with phase-conjugate feedback, Physica D 173(1-2) (2002) 114-129

  37. P. Collins and B. Krauskopf, Entropy and bifurcations in a chaotic laser, Physical Review E 66(5) 056201 (2002) 1-8

  38. D. Han, I.D. Cluckie, D. Karbassioun, J. Lawry and B. Krauskopf, River flow modelling using fuzzy decision trees, Water Resources Management 16 (2002) 431-445

    39. 2003

  39. S.M. Wieczorek, T.B. Simpson, B. Krauskopf and D. Lenstra, Bifurcation transitions in an optically injected diode laser: theory and experiment, Optics Communications 215(1-3) (2003) 125-134

  40. B. Krauskopf, K.R. Schneider, J. Sieber, S.M. Wieczorek, and M. Wolfrum, Excitability and self-pulsations near homoclinic bifurcations in semiconductor laser systems, Optics Communications 215(4-6) (2003) 367-379

  41. B. Krauskopf and K. Green, Computing unstable manifolds of periodic orbits in delay differential equations, J. Computational Physics 186(1) (2003) 230-249

  42. K. Green, B. Krauskopf and G. Samaey, A two-parameter study of the locking region of a semiconductor laser subject to phase-conjugate feedback, SIAM Journal on Applied Dynamical Systems 2(2) (2003) 254-276

  43. T. Heil, I. Fischer, W. Elsässer, B. Krauskopf, K. Green, and A. Gavrielides, Delay dynamics of semiconductor lasers with short external cavities: bifurcation scenarios and mechanisms, Physical Review E 67(6) 066214 (2003) 1-11

  44. B. Krauskopf, Chaos en licht, Nieuw Archief voor Wiskunde 5/4(3) (2003) 209-214

  45. K. Green and B. Krauskopf, Bifurcation analysis of frequency locking in a semiconductor laser with phase-conjugate feedback, Int. J. Bifurcation and Chaos 13(9) (2003) 2589-2601

  46. B.E. Oldeman, A.R. Champneys and B. Krauskopf, Homoclinic branch switching: a numerical implementation of Lin's method, Int. J. Bifurcation and Chaos 13(10) (2003) 2977-2999

  47. T. Erneux, A. Gavrielides, K. Green and B. Krauskopf, External cavity modes of semiconductor lasers with phase-conjugate feedback, Physical Review E 68(6) 066205 (2003) 1-9

  48. B. Krauskopf and H.M. Osinga, Computing geodesic level sets on global (un)stable manifolds of vector fields, SIAM Journal on Applied Dynamical Systems 2(4) (2003) 546-569

    49. 2004

  49. B. Krauskopf and H.M. Osinga, The Lorenz manifold as a collection of geodesic level sets, Nonlinearity 17(1) (2004) C1-C6; with Multimedia enhancements; featured on the cover!

  50. J. Sieber and B. Krauskopf, Bifurcation analysis of an inverted pendulum with delayed feedback control near a triple-zero eigenvalue singularity, Nonlinearity 17(1) (2004) 85-103

  51. K. Green and B. Krauskopf, Bifurcation analysis of a semiconductor laser subject to non-instantaneous phase-conjugate feedback, Optics Communications 231(1-6) (2004) 383-393

  52. B. Krauskopf and B.E. Oldeman, A planar model system for the saddle-node Hopf bifurcation with global reinjection, Nonlinearity 17(4) (2004) 1119-1151

  53. K. Green, B. Krauskopf and K. Engelborghs, One-dimensional unstable eigenfunction and manifold computations in delay differential equations, J. Computational Physics 197(1) (2004) 86-98

  54. J.P. England, B. Krauskopf and H.M. Osinga, Computing one-dimensional stable manifolds of planar maps without the inverse, SIAM Journal on Applied Dynamical Systems 3(2) (2004) 161-190

  55. G. Orosz, R.E. Wilson and B. Krauskopf, Global bifurcation investigation of an optimal velocity traffic model with driver reaction time, Physical Review E 70(2) 026207 (2004) 1-10

  56. J. Sieber and B. Krauskopf, Complex balancing motions of an inverted pendulum subject to delayed feedback control, Physica D 197(3-4) (2004) 332-345

  57. H.M. Osinga and B. Krauskopf, Crocheting the Lorenz manifold, The Mathematical Intelligencer 26(4) (2004) 25-37; featured on the cover!

    58. 2005

  58. S.M. Wieczorek and B. Krauskopf, Bifurcations of n-homoclinic orbits in optically injected lasers, Nonlinearity 18(3) (2005) 1095-1120

  59. B. Krauskopf , H.M. Osinga, E.J. Doedel, M.E. Henderson, J. Guckenheimer, A. Vladimirsky, M. Dellnitz and O. Junge, A survey of methods for computing (un)stable manifolds of vector fields, Int. J. Bifurcation and Chaos 15(3) (2005) 763-791; featured on the cover!

  60. J.P. England, B. Krauskopf and H.M. Osinga, Bifurcations of stable sets in noninvertible planar maps, Int. J. Bifurcation and Chaos 15(3) (2005) 891-904

  61. J. Sieber and B. Krauskopf, Extending the permissible control loop latency for the controlled inverted pendulum, Dynamical Systems 20(2) (2005) 189-199

  62. S.M. Wieczorek, B. Krauskopf, T.B. Simpson and D. Lenstra, The dynamical complexity of optically injected semiconductor lasers, Physics Reports 416(1-2) (2005) 1-128

  63. D.A.W. Barton, B. Krauskopf and R.E. Wilson, Explicit periodic solutions in a model of a relay controller with delay and forcing, Nonlinearity 18(6) (2005) 2637-2656

  64. H. Erzgräber, D. Lenstra, B. Krauskopf, E. Wille, M. Peil, I. Fischer and W. Elsässer, Mutually delay-coupled semiconductor lasers: mode bifurcation scenarios, Optics Communications 255(4-6) (2005) 286-296

  65. G. Orosz, B. Krauskopf and R.E. Wilson, Bifurcations and multiple traffic jams in a car-following model with reaction time delay, Physica D 211(3-4) (2005) 277-293

  66. H. Erzgräber, B. Krauskopf and D. Lenstra, Mode structure of delay-coupled semiconductor lasers: influence of the pump current, Journal of Optics B: Quantum and Semiclassical Optics 7(11) (2005) 361-371

  67. J.P. England, B. Krauskopf and H.M. Osinga, Computing one-dimensional global manifolds of Poincaré maps by continuation, SIAM Journal on Applied Dynamical Systems 4(4) (2005) 1008-1041

  68. M.I. Wallace, J. Sieber, S.A. Neild, D.J. Wagg and B. Krauskopf, Stability analysis of real-time dynamic substructuring using delay differential equation models, Earthquake Engineering & Structural Dynamics 34(15) (2005) 1817-1832

    69. 2006

  69. K. Green and B. Krauskopf, Mode structure of a semiconductor laser subject to filtered optical feedback, Optics Communications 258(2) (2006) 243-255

  70. H. Erzgräber, B. Krauskopf and D. Lenstra, Compound laser modes of mutually delay-coupled lasers, SIAM Journal on Applied Dynamical Systems 5(1) (2006) 30-65

  71. H. Erzgräber, B. Krauskopf, D. Lenstra, A.P.A. Fischer and G. Vemuri, Frequency versus relaxation oscillations in a semiconductor laser with coherent filtered optical feedback, Physical Review E 73(5) 055201(R) (2006) 1-4

  72. B. Krauskopf and B.E. Oldeman, Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation, Nonlinearity 19(9) (2006) 2149-2167

  73. D.A.W. Barton, B. Krauskopf and R.E. Wilson, Periodic solutions and their bifurcations in a non-smooth second-order delay differential equation, Dynamical Systems 21(3) (2006) 289-311

  74. D.A.W. Barton, B. Krauskopf and R.E. Wilson, Collocation schemes for periodic solutions of neutral delay differential equations, Journal of Difference Equations and Applications 12(11) (2006) 1087-1101

  75. E.J. Doedel, B. Krauskopf and H.M. Osinga, Global bifurcations of the Lorenz manifold, Nonlinearity 19(12) (2006) 2947-2972

    76. 2007

  76. S. Valling, B. Krauskopf, T. Fordell and A. Lindberg, Experimental bifurcation diagram of a solid state laser with optical injection, Optics Communications 271(2) (2007) 532-542

  77. H. Erzgräber, B. Krauskopf and D. Lenstra, Bifurcation analysis of a semiconductor laser with filtered optical feedback, SIAM Journal on Applied Dynamical Systems 6(1) (2007) 1-28

  78. D.A.W. Barton, B. Krauskopf and R.E. Wilson, Homoclinic bifurcations in a neutral delay model of a transmission line oscillator, Nonlinearity 20(4) (2007) 809-829

  79. J.P. England, B. Krauskopf and H.M. Osinga, Computing two-dimensional global invariant manifolds in slow-fast systems, Int. J. Bifurcation and Chaos 17(3) (2007) 805-822

  80. B. Krauskopf, H.M. Osinga and B.B. Peckham, Unfolding the cusp-cusp bifurcation of planar endomorphisms, SIAM Journal on Applied Dynamical Systems 6(2) (2007) 403-440

  81. H.M. Osinga and B. Krauskopf, Visualizing curvature on the Lorenz manifold, Journal of Mathematics and the Arts 1(2) (2007) 113-123

  82. V. Rottschäfer and B. Krauskopf, The ECM-backbone of the Lang-Kobayashi equations: a geometric picture, Int. J. Bifurcation and Chaos 17(5) (2007) 1575-1588

  83. K. Green, B. Krauskopf and D. Lenstra, External cavity mode structure of a two-mode VCSEL subject to optical feedback, Optics Communications 277(2) (2007) 359-371

  84. H. Erzgräber and B. Krauskopf, Dynamics of a filtered-feedback laser: influence of the filter width, Optics Letters 32(16) (2007) 2441-2443

  85. H. Erzgräber, D. Lenstra, B. Krauskopf, A.P.A. Fischer and G. Vemuri, Feedback phase sensitivity of a semiconductor laser subject to filtered optical feedback: experiment and theory, Physical Review E 76(2) (2007) 026212

  86. J. Sieber and B. Krauskopf, Control-based continuation of periodic orbits with a time-delayed difference scheme, Int. J. Bifurcation and Chaos 17(8) (2007) 2579-2593; featured on the cover!

    87. 2008

  87. J. Sieber and B. Krauskopf, Control-based bifurcation analysis for experiments, Nonlinear Dynamics 51(3) (2008) 365-377

  88. F. Schilder, J. Rübel, J. Starke, H.M. Osinga, B. Krauskopf and M. Inagaki, Efficient computation of quasi-periodic oscillations in nonlinear systems with fast rotating parts, Nonlinear Dynamics 51(4) (2008) 529-539

  89. M. Desroches, B. Krauskopf and H.M. Osinga, Mixed-mode oscillations and slow manifolds in the self-coupled FitzHugh Nagumo system, CHAOS 18(1) (2008) 015107; featured on the cover!

  90. J. Sieber and B. Krauskopf, Tracking oscillations in the presence of delay-induced essential instability, Journal of Sound and Vibration 315(3) (2008) 781-795

  91. B. Krauskopf and T. Riess, A Lin's method approach to finding and continuing heteroclinic connections involving periodic orbits, Nonlinearity 21(8) (2008) 1655-1690

  92. J. Sieber, A. Gonzalez-Buelga, S.A. Neild, D.J. Wagg and B. Krauskopf, Experimental continuation of periodic orbits through a fold, Physical Review Letters 100(24) (2008) 244101; featured by Physical Review Focus!

  93. C.M. Lee, P.J. Collins, B. Krauskopf and H.M. Osinga, Tangency bifurcations of global Poincaré maps, SIAM Journal on Applied Dynamical Systems 7(3) (2008) 712-754

  94. M. Desroches, B. Krauskopf and H.M. Osinga, The geometry of slow manifolds near a folded node, SIAM Journal on Applied Dynamical Systems 7(4) (2008) 1131-1162

  95. H. Erzgräber, S.M. Wieczorek and B. Krauskopf, Dynamics of two laterally coupled semiconductor lasers: strong- and weak-coupling theory, Physical Review E 78(6) (2008) 066201

    96. 2009

  96. H. Erzgräber, E. Wille, B. Krauskopf and I. Fischer, Amplitude-phase dynamics near the locking region of two delay-coupled semiconductor lasers, Nonlinearity 22(3) (2009) 585-600

  97. K. Green, B. Krauskopf, F.B. Marten and D. Lenstra, Bifurcation analysis of a spatially extended laser with optical feedback, SIAM Journal on Applied Dynamical Systems 8(1) (2009) 222-252

  98. J. Rankin, E. Coetzee, B. Krauskopf and M. Lowenberg, Bifurcation and stability analysis of aircraft turning manoeuvres, Journal of Guidance, Control, and Dynamics 32(2) (2009) 500-511

  99. B. Krauskopf, C.M. Lee and H.M. Osinga, Codimension-one tangency bifurcations of global Poincaré maps of four-dimensional vector fields, Nonlinearity 22(5) (2009) 1091-1121

  100. P. Thota, B. Krauskopf and M. Lowenberg, Interaction of torsion and lateral bending in aircraft nose landing gear shimmy, Nonlinear Dynamics 57(3) (2009) 455-467

  101. H. Erzgräber, S.M. Wieczorek and B. Krauskopf, Locking behaviour of three coupled laser oscillators, Physical Review E 80(2) (2009) 026212

  102. M. Desroches, B. Krauskopf and H.M. Osinga, The geometry of mixed-mode oscillations in the Olsen model for the peroxidase-oxidase reaction, Discrete and Continuous Dynamical Systems - Series S 2(4) (2009) 807-827

  103. M.H. Adhikari, J.H. Heeroma, M. Di Bernardo, B. Krauskopf, M.P. Richardson, M.C. Walker and J.R. Terry, Characterisation of cortical activity in response to deep brain stimulation of ventral lateral nucleus: modelling and experiment, Journal of Neuroscience Methods 183(1) (2009) 77-85

    104. 2010

  104. G. Kiss and B. Krauskopf, Stability implications of delay distribution for first-order and second-order systems, Discrete and Continuous Dynamical Systems - Series B 13(2) (2010) 327-345

  105. P. Thota, B. Krauskopf and M.H. Lowenberg, Bifurcation analysis of nose landing gear shimmy with lateral and longitudinal bending, Journal of Aircraft 47(1) (2010) 87-95

  106. M. Desroches, B. Krauskopf and H.M. Osinga, Numerical continuation of canard orbits in slow-fast dynamical systems, Nonlinearity 23(3) (2010) 739-765

  107. J. Rankin, B. Krauskopf, M. Lowenberg and E. Coetzee, Operational parameter study of aircraft dynamics on the ground, Journal of Computational and Nonlinear Dynamics 5(2) (2010) 021007

  108. H. Erzgräber, S.M. Wieczorek and B. Krauskopf, Dynamics of two semiconductor lasers coupled by a passive resonator, Physical Review E 81(5) (2010) 056201

  109. D.A.W. Barton, B. Krauskopf and R.E. Wilson, Nonlinear dynamics of torsional waves in a drill-string model with spatial extent, Journal of Vibration and Control 16(7-8) (2010) 1049-1065

  110. E. Coetzee, B. Krauskopf and M. Lowenberg, Application of bifurcation methods for the prediction of low-speed aircraft ground performance, Journal of Aircraft 47(4) (2010) 1248-1255

  111. P. Thota, B. Krauskopf, M.H. Lowenberg and E. Coetzee, Influence of tire inflation pressure on nose landing gear shimmy, Journal of Aircraft 47(5) (2010) 1697-1706

  112. J. Rankin, B. Krauskopf, M. Lowenberg, and E. Coetzee, Nonlinear analysis of lateral loading during taxiway turns, Journal of Guidance, Control, and Dynamics 33(6) (2010) 1708-1717

    113. 2011

  113. J. Sieber, B. Krauskopf, D.J. Wagg, S.A. Neild, A. Gonzalez-Buelga, Control-based continuation of unstable periodic orbits, Journal of Computational and Nonlinear Dynamics 6(1) (2011) 011005

  114. P. Aguirre, E.J. Doedel, B. Krauskopf and H.M. Osinga, Investigating the consequences of global bifurcations for two-dimensional invariant manifolds of vector fields, Discrete and Continuous Dynamical Systems - Series A 29(4) (2011) 1309-1344

  115. G. Kiss and B. Krauskopf, Stabilizing effect of delay distribution for a class of second-order systems without instantaneous feedback, Dynamical Systems 26(1) (2011) 85-101

  116. J.A.C. Knowles, B. Krauskopf and M. Lowenberg, Numerical continuation applied to landing gear mechanism analysis, Journal of Aircraft 48(4) (2011) 1254-1262

  117. M.R. Marsico, V. Tzanov, D.J. Wagg, S.A. Neild and B. Krauskopf, Bifurcation analysis of a parametrically excited inclined cable close to two-to-one internal resonance, Journal of Sound and Vibration 330(24) (2011) 6023-6035

  118. E.J. Doedel, B. Krauskopf and H.M. Osinga, Global invariant manifolds in the transition to preturbulence in the Lorenz system, Indagationes Mathematicae 22(3-4) (2011) 223-241

  119. E. Coetzee, B. Krauskopf and M. Lowenberg, Analysis of medium-speed runway exit manoeuvres, Journal of Aircraft 48(5) (2011) 1553-1564

  120. J. Rankin, M. Desroches, B. Krauskopf and M. Lowenberg, Canard cycles in aircraft ground dynamics, Nonlinear Dynamics 66(4) (2011) 681-688

    121. 2012

  121. W. Zhang, B. Krauskopf and V. Kirk, How to find a codimension-one heteroclinic cycle between two periodic orbits, Discrete and Continuous Dynamical Systems - Series A 32(8) (2012) 2825-2851

  122. M. Desroches, J. Guckenheimer, B. Krauskopf, C. Kuehn, H.M. Osinga and M. Wechselberger, Mixed-mode oscillations with multiple time scales, SIAM Review 54(2) (2012) 211-288; featured on the cover!

  123. P. Thota, B. Krauskopf and M. Lowenberg, Multi-parameter bifurcation study of shimmy oscillations in a dual-wheel aircraft nose landing gear, Nonlinear Dynamics 70(2) (2012) 1675-1688

    124. 2013

  124. J.A.C. Knowles, B. Krauskopf and M. Lowenberg, Numerical continuation analysis of a three-dimensional aircraft main landing gear mechanism, Nonlinear Dynamics 71(1-2) (2013) 331-352

  125. E. Coetzee, B. Krauskopf and M. Lowenberg, Continuation analysis of aircraft ground loads during high-speed turns, Journal of Aircraft 50(1) (2013) 217-231

    126. to appear

  126. P. Aguirre, B. Krauskopf and H.M. Osinga, Global invariant manifolds near a Shilnikov homoclinic bifurcation, Journal of Computational Dynamics (to appear)

  127. J.A.C. Knowles, B. Krauskopf, M. Lowenberg and S.A. Neild, Numerical continuation analysis of a dual-sidestay main landing gear mechanism, Journal of Aircraft (to appear)

  128. S.J. Gill, M. Lowenberg, S.A. Neild, B. Krauskopf, G. Puyou and E. Coetzee, Upset dynamics of an airliner model: a nonlinear bifurcation analysis, Journal of Aircraft (to appear)

  129. C. Howcroft, B. Krauskopf, M. Lowenberg and S.A. Neild, Influence of variable side-stay geometry on the shimmy dynamics of an aircraft dual-wheel main landing gear, SIAM Journal on Applied Dynamical Systems (to appear)

  130. C. Howcroft, B. Krauskopf, M. Lowenberg and S.A. Neild, Effects of freeplay on the dynamic stability of an aircraft main landing gear, Journal of Aircraft (to appear)

  131. S. Hittmeyer, B. Krauskopf and H.M. Osinga, Interacting global invariant sets in a planar map model of wild chaos, SIAM Journal on Applied Dynamical Systems (to appear)

Contents: [ Journal Publications | Preprints | Books | Book Chapters | Proceedings Contributions ]

Preprints

  
  1. B. Krauskopf and J. Sieber, Bifurcation analysis of delay-induced resonances of the El-Nino Southern Oscillation, Preprint arXiv:1109.2818, 2011

  2. V. Tzanov, B. Krauskopf, S.A. Neild and D.J. Wagg, Mode interactions of an inclined cable excited close to its second natural frequency, Preprint, 2012

  3. N. Terkovics, S.A. Neild, M. Lowenberg and B. Krauskopf, Bifurcation Analysis of a Coupled Nose Landing Gear-Fuselage System, Preprint, 2013

  4. P. Aguirre, B. Krauskopf and H.M. Osinga, Global invariant manifolds near homoclinic orbits to a real saddle: (non)orientability and flip bifurcation, Preprint, 2013

Contents: [ Journal Publications | Preprints | Books | Book Chapters | Proceedings Contributions ]

Books

  
  1. A.D. Bazykin, Nonlinear Dynamics of Interacting Populations, edited by A.I. Khibnik and B. Krauskopf, World Scientific Series on Nonlinear Science A 11, World Scientific (1998)

  2. B. Krauskopf and D. Lenstra (Eds.), Fundamental Issues of Nonlinear Laser Dynamics, AIP Conference Proceedings 548 (2000)

  3. H.W. Broer, B. Krauskopf and G. Vegter (Eds.), Global Analysis of Dynamical Systems: Festschrift dedicated to Floris Takens for his 60th birthday, Institute of Physics Publishing (2001)

  4. S.J. Hogan, A.R. Champneys, B. Krauskopf, M. di Bernardo, R.E. Wilson, H.M. Osinga and M.E. Homer (Eds.), Nonlinear Dynamics and Chaos: Where do we go from here?, Institute of Physics Publishing (2002)

  5. B. Krauskopf, H.M. Osinga and J. Galán-Vioque (Eds.), Numerical Continuation Methods for Dynamical Systems: Path following and boundary value problems, Springer-Verlag (2007)

Contents: [ Journal Publications | Preprints | Books | Book Chapters | Proceedings Contributions ]

Book Chapters

  
  1. B. Krauskopf and H. Kriete, Approximating transcendental Julia sets, in H. Kriete (Ed.), Progress in Holomorphic Dynamics, Pitman Research Notes in Mathematics Series 387, Longman (1998), 116-138

  2. B. Krauskopf, Bifurcation Analysis of Laser Systems, in B. Krauskopf and D. Lenstra (Eds.), Fundamental Issues of Nonlinear Laser Dynamics, AIP Conference Proceedings 548 (2000), 1-30

  3. H.W. Broer and B. Krauskopf, Chaos in Periodically Driven Systems, in B. Krauskopf and D. Lenstra (Eds.), Fundamental Issues of Nonlinear Laser Dynamics, AIP Conference Proceedings 548 (2000), 31-53

  4. S.M. Verduyn Lunel and B. Krauskopf, The Mathematics of Delay Equations with an Application to the Lang-Kobayashi Equations, in B. Krauskopf and D. Lenstra (Eds.), Fundamental Issues of Nonlinear Laser Dynamics, AIP Conference Proceedings 548 (2000), 66-87

  5. B. Krauskopf, Strong resonances and Takens's Utrecht Preprint, in H.W. Broer, B. Krauskopf and G. Vegter (Eds.), Global Analysis of Dynamical Systems: Festschrift dedicated to Floris Takens for his 60th birthday, Institute of Physics Publishing (2001), 89-111

  6. B. Krauskopf, Bifurcation analysis of lasers with delay, in D.M. Kane and K.A. Shore (Eds.), Unlocking Dynamical Diversity: Optical Feedback Effects on Semiconductor Lasers, Wiley (2005), 147-183

  7. B. Krauskopf , H.M. Osinga, E.J. Doedel, M.E. Henderson, J. Guckenheimer, A. Vladimirsky, M. Dellnitz and O. Junge, A survey of methods for computing (un)stable manifolds of vector fields, in E.J. Doedel, G. Domokos and I.G. Kevrekidis (Eds.), Modeling and Computations in Dynamical Systems, World Scientific Series on Nonlinear Science B 13, World Scientific (2006), 67-95 [reprinting of Journal Publication 59]; featured on the cover!

  8. J.P. England, B. Krauskopf and H.M. Osinga, Bifurcations of stable sets in noninvertible planar maps, in E.J. Doedel, G. Domokos and I.G. Kevrekidis (Eds.), Modeling and Computations in Dynamical Systems, World Scientific Series on Nonlinear Science B 13, World Scientific (2006), 195-208 [reprinting of Journal Publication 60]

  9. B. Krauskopf, Semiconductor lasers as dynamical systems, in F. Dumortier, D. Roose and A. Vanderbauwhede (Eds.), Trends in Dynamical Systems, Handelingen van de Koninklijke Vlaamse Academie van Belgie voor Wetenschappen en Kunsten (2007), 33-45

  10. B. Krauskopf and H.M. Osinga, Computing invariant manifolds via the continuation of orbit segments, in B. Krauskopf, H.M. Osinga and J. Galán-Vioque (Eds.), Numerical Continuation Methods for Dynamical Systems: Path following and boundary value problems, Springer-Verlag (2007), 117-154

  11. B. Krauskopf, H.M. Osinga and E.J. Doedel, Visualizing global manifolds during the transition to chaos in the Lorenz system, in H.-C. Hege, K. Polthier and G. Scheuermann (Eds.), Topology-Based Methods in Visualization II, Springer-Verlag (2009), 115-126

  12. K. Green and B. Krauskopf, Dynamics of patterns in lasers with delayed feedback, in J. Dubbeldam, K. Green and D. Lenstra (Eds.), The Complexity of Dynamical Systems. A Multi-disciplinary Perspective, Wiley-VCH (2011), 37-62

  13. B. Krauskopf and J. Walker, Bifurcation study of a semiconductor laser with saturable absorber and delayed optical feedback, in K. Lüdge (Ed.), Nonlinear Laser Dynamics. From Quantum Dots to Cryptography, Wiley-VCH (2012), 161-181

Contents: [ Journal Publications | Preprints | Books | Book Chapters | Proceedings Contributions ]

Proceedings Contributions

  
  1. B. Krauskopf, Transputer in der Iterationstheorie ganzer transzendenter Funktionen, in Informatik aktuell, R. Grebe & M. Baumann, Parallele Datenverarbeitung mit dem Transputer, Springer-Verlag (1992) 147-154

  2. B. Krauskopf, Stability loss near 1:4 resonance, in P.L. Butzer, H.Th. Jongen and W. Oberschelp (Eds.), Charlemagne and His Heritage: 1200 Years of Civilization and Science in Europe, Volume 2: Mathematical Arts, Brepols Publishers (1998) 551-561

  3. B. Krauskopf, N. Tollenaar, W.A. van der Graaf, and D. Lenstra, Complicated dynamics due to a heteroclinic connection in an injected diode laser, Proceedings of SPIE 3283 (1998) 589-600

  4. B. Krauskopf, G.R. Gray, and D. Lenstra, Bifurcations in a semiconductor laser with phase-conjugate feedback, Proceedings of SPIE 3283 (1998) 510-521

  5. J.L.A. Dubbeldam, B. Krauskopf and D. Lenstra, Self-pulsations and mode-locking in narrow stripe lasers, Technical Digest CLEO/Europe '98

  6. J.L.A. Dubbeldam, B. Krauskopf and D. Lenstra, Self-pulsations and mode-locking in narrow stripe lasers, Proceedings 1998 Symposium of IEEE/LEOS Benelux Chapter

  7. B. Krauskopf, G.H.M. van Tartwijk and G.R. Gray, Aspects of symmetry in lasers with optical feedback, Proceedings of SPIE 3625 (1999) 646-655

  8. D. Lenstra, S.M. Wieczorek and B. Krauskopf, A global view of period-doubling in a semiconductor laser with optical injection; Proceedings of LEOS'99

  9. B. Krauskopf, B.E. Oldeman and A.R. Champneys, Resonant homoclinic flip bifurcations: a numerical investigation, in B. Fiedler, K. Gröger and J. Sprekels (Eds.), Equadiff 99, World Scientific (2000) 55-57

  10. B. Krauskopf and H.M. Osinga, Investigating torus bifurcations in the forced Van der Pol oscillator; in E.J. Doedel and L.S. Tuckerman (Eds.), Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems, IMA Volumes in Mathematics and its Applications 119, Springer-Verlag (2000) 199-208

  11. J.L.A. Dubbeldam, B. Krauskopf and D. Lenstra, Excitability and coherence resonance in passively Q-switched diode lasers, Proceedings of SPIE 3944 (2000) 454-463

  12. S.M. Wieczorek, B. Krauskopf and D. Lenstra, Global view of complicated dynamics in optically injected semiconductor lasers, Proceedings of SPIE 3944 (2000) 602-611

  13. B. Krauskopf, S.M. Wieczorek and D. Lenstra, Routes to chaos in an otpically injected semiconductor laser, Proceedings of SPIE 3944 (2000) 612-619

  14. B. Krauskopf and K. Green, Bifurcations to chaos in a semiconductor laser with phase-conjugate feedback, Proceedings of LEOS 2000 62-63

  15. S.M. Wieczorek, B. Krauskopf, and D. Lenstra, Bifurcations of chaotic attractors in a semiconductor laser subject to optical injection, Proceedings of LEOS 2000 64-65

  16. B. Krauskopf and K. Green, Routes to chaos in a semiconductor laser subject to phase-conjugate optical feedback, Proceedings of SPIE 4646 (2002) 453-462

  17. S.M. Wieczorek, T.B. Simpson, B. Krauskopf and D. Lenstra, Complex dynamics of an optically injected semiconductor laser: bifurcation theory and experiment, Proceedings of SPIE 4646 (2002) 471-478

  18. B. Krauskopf and K. Green, Unstable manifolds of delay systems, Proceedings of New Directions in Dynamical Systems, Kyoto 2002 (ICM 2002 satellite conference) 330-335

  19. B. Krauskopf and K. Green, A two parameter study near the locking region of a semiconductor laser with phase-conjugate feedback, Proceedings of SPIE 4986 (2003) 513-520

  20. B. Krauskopf, S.M. Wieczorek and D. Lenstra, Multipulse excitability in injected lasers, Proceedings of SPIE 4986 (2003) 432-439

  21. B. Krauskopf, K. Green, H. Erzgräber and D. Lenstra, Dynamics and bifurcations of a semiconductor laser with short external cavity, Proceedings of SPIE 5452 (2004) 82-92

  22. K. Green and B. Krauskopf, Bifurcation analysis of a semiconductor laser subject to non-instantaneous phase-conjugate feedback, Proceedings of SPIE 5452 (2004) 255-262

  23. T. Erneux, A. Gavrielides, K. Green and B. Krauskopf, Analytical theory of external cavity modes of a semiconductor laser with phase conjugate feedback, Proceedings of SPIE 5452 (2004) 263-272

  24. H. Erzgräber, D. Lenstra, B. Krauskopf and I. Fischer, Dynamical properties of mutually delayed coupled semiconductor lasers, Proceedings of SPIE 5452 (2004) 352-361

  25. K. Green, K. Engelborghs and B. Krauskopf, From local to global one-dimensional unstable manifolds in delay differential equations, Proceedings of Equadiff 2003, World Scientific Publishing (2005) 175-180

  26. B. Krauskopf and H. Osinga, Geodesic parametrization of global invariant manifolds, or what does the Equadiff 2003 poster show?, Proceedings of Equadiff 2003, World Scientific Publishing (2005) 429-433

  27. K. Green and B. Krauskopf, Sudden transitions to chaos in a semiconductor laser with optical delay, Proceedings of Equadiff 2003, World Scientific Publishing (2005) 607-612

  28. J. Sieber and B. Krauskopf, Dynamics of an inverted pendulum subject to delayed control, Proceedings of Equadiff 2003, World Scientific Publishing (2005) 768-773

  29. P. Collins and B. Krauskopf, Chaotic lasers: manifolds, bifurcations and symbolic dynamics, Proceedings of Equadiff 2003, World Scientific Publishing (2005) 871-876

  30. B.E. Oldeman and B. Krauskopf, A vector field model of a saddle-node Hopf bifurcation with global reinjection, Proceedings of Equadiff 2003, World Scientific Publishing (2005) 1114-1116

  31. B. Krauskopf, H. Erzgräber and D. Lenstra, Bifurcation analysis of coupled laser modes in mutually delay coupled lasers, in Wim Michiels and Dirk Roose (Eds.), A Proceedings volume from the 5th IFAC Workshop, Leuven, Belgium, 8-10 September 2004, Elsevier (2005) 233-238

  32. V. Rottschäfer and B. Krauskopf, A three-parameter study of external cavity modes in semiconductor lasers with optical feedback, in Wim Michiels and Dirk Roose (Eds.), A Proceedings volume from the 5th IFAC Workshop, Leuven, Belgium, 8-10 September 2004, Elsevier (2005) 239-244

  33. G. Orosz, R.E. Wilson and B. Krauskopf, Bifurcations in a car-following model with delay, in Wim Michiels and Dirk Roose (Eds.), A Proceedings volume from the 5th IFAC Workshop, Leuven, Belgium, 8-10 September 2004, Elsevier (2005) 245-250

  34. H. Erzgräber, D. Lenstra, and B. Krauskopf, Compound laser modes of mutually delay-coupled semiconductor lasers: bifurcation analysis of the locking region, Proceedings of IEEE/LEOS Benelux 2004, pp 147-150

  35. M.I. Wallace, J. Sieber, S.A. Neild, D.J. Wagg and B. Krauskopf, Delay differential equation models for real-time dynamic substructuring, Proceedings of ASME International Design Engineering Technical Conferences, Fifth International Conference on Multibody Systems, Nonlinear Dynamics and Control, Long Beach, USA, September 2005, Paper No. DETC2005-85010, 1-8.

  36. H. Erzgräber, D. Lenstra, and B. Krauskopf, Pure frequency oscillations of semiconductor lasers with filtered optical feedback, Proceedings of IEEE/LEOS Benelux 2005, pp 47-50

  37. D.A.W. Barton, B. Krauskopf and R.E. Wilson, Collocation schemes for periodic solutions of neutral delay differential equations, Proceedings of 6th IFAC workshop on Time-Delay Systems 2006

  38. G. Orosz, B. Krauskopf and R.E. Wilson, Traffic jam dynamics in a car-following model with reaction-time delay and stochasticity of drivers, Proceedings of 6th IFAC workshop on Time-Delay Systems 2006

  39. H. Erzgräber, D. Lenstra and B. Krauskopf, Stability of locking in mutually delay-coupled semiconductor lasers, Proceedings of SPIE 6184, 618407 (2006)

  40. K. Green and B. Krauskopf, Analysis of the external filtered modes of a semiconductor laser with filtered optical feedback, Proceedings of SPIE 6184, 61840U (2006)

  41. B. Krauskopf, H. Erzgräber and D. Lenstra, Dynamics of semiconductor lasers with filtered optical feedback, Proceedings of SPIE 6184, 61840V (2006)

  42. M. Radziunas, H.-J. Wünsche, B. Krauskopf and M. Wolfrum, External cavity modes in Lang-Kobayashi and traveling wave models, Proceedings of SPIE 6184, 61840X (2006)

  43. H. M. Osinga and B. Krauskopf, The Lorenz manifold: crochet and curvature, R. Sarhangi and J. Sharp (Eds.), BRIDGES LONDON 2006: Mathematical Connections in Art, Music, and Science, Tarquin Publications (2006) 255-260

  44. J. Sieber and B. Krauskopf, Tracking nonlinear oscillations with time-delayed feedback, Modern Practice in Stress and Vibration Analysis VI, Applied Mechanics and Materials Vol. 5-6 (2006) 417-424 (http://www.scientific.net/)

  45. E. Coetzee, B. Krauskopf and M. Lowenberg, Nonlinear Aircraft Ground Dynamics, Proceedings of ICNPAA-2006: Mathematical Problems in Engineering and Aerospace Sciences, Budapest 2006

  46. K. Green, B. Krauskopf and D. Lenstra, Mode structure of a vertical-cavity surface-emitting laser subject to optical feedback, Proceedings of IEEE/LEOS Benelux 2006

  47. H. Erzgräber, B. Krauskopf, D. Lenstra, A.P.A. Fischer and G. Vemuri, Feedback phase sensitivity of a semiconductor laser subject to filtered optical feedback, Proceedings of IEEE/LEOS Benelux 2006

  48. B. Krauskopf and H.M. Osinga, Visualization of geodesic level sets on global manifolds, TopoInVis 2007

  49. H.M. Osinga, B. Krauskopf and E.J. Doedel, Visualizing the transition to chaos in the Lorenz system, TopoInVis 2007

  50. J. Sieber and B. Krauskopf, Control-based tracking of nonlinear oscillations, Proceedings of EUROMECH Colloquium 483: Geometrically Non-linear Vibrations of Structures, Porto 2007

  51. P. Slowinski, B. Krauskopf and S.M. Wieczorek, Mode structure of a semiconductor laser with feedback from two external filters, Proceedings of SPIE 6997 (2008)

  52. P. Thota, B. Krauskopf and M. Lowenberg, Shimmy in a nonlinear model of an aircraft nose landing gear with non-zero rake angle, Proceedings of ENOC2008, St. Peterburg

  53. J. Rankin, B. Krauskopf, M. Lowenberg and E. Coetzee, Operational parameter study of an aircraft turning on the ground, Proceedings of ECMI 2008, London

  54. B. Krauskopf, P. Thota and M. Lowenberg, Geometric nonlinearities of aircraft systems, Proceedings of ECMI 2008, London

  55. B. Krauskopf, H.M. Osinga and B. Storch, The sculpture Manifold: a band from a surface, a surface from a band, Proceedings of Bridges Leeuwarden 2008

  56. H. Erzgräber, S.M. Wieczorek and B. Krauskopf, Bifurcations of composite-cavity modes in multi-stripe laser arrays, Proceedings of SPIE 6997 (2008)

  57. K. Green and B. Krauskopf, Bifurcation analysis of a multi-transverse-mode VCSEL, Proceedings of SPIE 6997 (2008)

  58. B. Krauskopf and H. Erzgräber, Delay-coupled semiconductor lasers near locking: a bifurcation study, Proceedings of SPIE 6997 (2008)

  59. H. Erzgräber and B. Krauskopf, Multistability in a semiconductor laser subject to optical feedback from a Fabry-Perot filter, Proceedings of PhysCon 2009

  60. H. Erzgräber, S.M. Wieczorek and B. Krauskopf, Locking of three coupled lasers, Proceedings of SPIE (2010)

  61. P. Slowinski, B. Krauskopf and S.M. Wieczorek, Solution structure and dynamics of a semiconductor laser subject to feedback from two external filters, Proceedings of SPIE Europe 7720 (2010)

  62. V. Tzanov, S.A. Neild, B. Krauskopf and D.J. Wagg, Influence of damping on the vibration of an inclined cable subjected to support excitation, Proceedings of ASME 2011

  63. V. Tzanov, M.R. Marsico, D.J. Wagg, B. Krauskopf, S.A. Neild and J.H.G. Macdonald, Internal resonance between in-plane and out-of-plane modes of vibration of inclined cables subjected to vertical support excitation, Proceedings of Eurodyn 2011

  64. S.J. Gill, M. Lowenberg, B. Krauskopf, G. Puyou and E. Coetzee, Bifurcation analysis of the NASA GTM with a view to upset recovery, Proceedings of AIAA conferences GNC/AFM/MST/ASC 2012, paper AIAA-2012-4648

  65. C. Howcroft, B. Krauskopf, M. Lowenberg, S.A. Neild and D. Pattrick, Effects of freeplay on aircraft main landing gear stability, Proceedings of AIAA conferences GNC/AFM/MST/ASC 2012, paper AIAA-2012-4730

  66. N. Terkovics, S.A. Neild, M. Lowenberg, B. Krauskopf and S. Sharma, Bifurcation analysis of a coupled nose landing gear-fuselage system, Proceedings of AIAA conferences GNC/AFM/MST/ASC 2012, paper AIAA-2012-4731

  67. J.A. Knowles, B. Krauskopf, M. Lowenberg, E. Coetzee and S.A. Neild, Numerical continuation analysis of a dual-sidestay main landing gear mechanism, Proceedings of AIAA conferences GNC/AFM/MST/ASC 2012, paper AIAA-2012-4800

Contents: [ Journal Publications | Preprints | Books | Book Chapters | Proceedings Contributions ]

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