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Journal articles
C.M.Postlethwaite, P.Brown and T.E.Dennis,
A new multi-scale measure for analysing animal tracking data.
Journal of Theoretical Biology, 317, 2013, 175-185.
Vivien Kirk, Claire M. Postlethwaite and Alastair M. Rucklidge
Resonance in heteroclinic networks.
To appear in SIADS, 2012.
M. Golubitsky and C. M. Postlethwaite,
Feed-forward networks, center manifolds, and forcing.
Discrete and Continuous Dynamical Systems, Series A, 32(8), 2012, 2913-2935.
G. Brown, C. M. Postlethwaite and M. Silber,
Time-delayed feedback control of unstable periodic
orbits near a subcritical Hopf bifurcation.
Physica D 240, 2011, 859-871.
C. M. Postlethwaite and M. Walker,
A geometric model for initial orientation errors in pigeon navigation
Journal of Theoretical Biology, 269, 2011, 273-279.
Claire M. Postlethwaite
A new mechanism for stability loss from a heteroclinic cycle.
Dynamical Systems: An International Journal, 25(3), 2010, 305-322. PDF (348KB)
V. Kirk, E. Lane, C. M. Postlethwaite, A. M. Rucklidge, and M. Silber
A mechanism for switching near a heteroclinic network.
Dynamical Systems: An International Journal, 25(3), 2010, 323-349. PDF (620KB)
Claire M. Postlethwaite and J.H.P. Dawes
Resonance bifurcations from robust homoclinic cycles.
Nonlinearity 23, 2010, 621-642. PDF (572KB)
Claire M. Postlethwaite, Tiffany M. Psemeneki, Jangir Selimkhanov, Mary Silber and Malcolm A.
MacIver
Optimal movement in the prey strikes of weakly electric fish:
A case study of the interplay of body plan and movement capability.
Roy. Soc. Interface, 6(34), 2009, 417-433.
PDF (2.3MB)
C. M. Postlethwaite
Stabilization of long-period periodic orbits using time-delayed feedback
control.
SIADS, 8, 2009, 21-39.
PDF (432KB)
Claire M. Postlethwaite and Mary Silber
Stabilizing unstable periodic orbits in the Lorenz equations
using time-delayed feedback control.
Phys. Rev. E, 76, 2007, 056214.
http://arxiv.org
Claire M. Postlethwaite and Mary Silber
Spatial and temporal feedback of
traveling wave solutions of the two-dimensional complex
Ginzburg-Landau equation.
Physica D, 236, 2007, 65-74.
http://arxiv.org
C. M. Postlethwaite and J. H. P. Dawes
A codimension-two resonant
bifurcation from a heteroclinic cycle with complex eigenvalues.
Dynamical Systems: An International Journal, 21(3), 2006,
313-336. PDF (292KB)
C. M. Postlethwaite and J. H. P. Dawes
Regular and irregular
cycling near a heteroclinic network.
Nonlinearity, 18, 2005, 1477-1509.
J. H. P. Dawes, C. M. Postlethwaite and M. R. E. Proctor
Instabilities
induced by a weak breaking of a strong spatial resonance.
Physica D, 191, 2004, 1-30.
Book chapters
M. Golubitsky, C. Postlethwaite, L-J. Shiau and Y. Zhang
The feed-forward chain as a filter
amplifier motif.
In: Coherent Behavior in Neuronal Networks. (K. Josic, M. Matias, R. Romo,
and J. Rubin, eds.) Springer, 2009, 95-120. PDF (1.1MB)
Conference Proceedings
J.E.Paterson, M.O.J.Thomas, C.M.Postlethwaite and S.Taylor
The internal disciplinarian: Who is in control?
In: S. Brown, S. Larsen, K. Marrongelle, and M. Oehrtman (Eds.), Proceedings of the 14th Annual Conference on Research in Undergraduate Mathematics Education 2, 2011, 354-368. Portland, Oregon.
Submitted or in preparation
Claire M. Postlethwaite and Todd Dennis
Detecting multiple behavioural modes in possums over varying timescales. Submitted to PLoS ONE, 2012.
Claire M. Postlethwaite, G.Brown and M.Silber
Feedback control of unstable periodic orbits in equivariant Hopf bifurcations. Submitted to Philosophical Transactions of the Royal Society A, 2012.
Seminars and presentations
`Resonance in heteroclinic networks'. Invited speaker in minisymposium on Heteroclinic Cycles, American Institute of Mathematical Sciences meeting, Orlando, USA, July 2012.
`Feedback control of unstable periodic orbits arising from equivariant Hopf bifurcations'. Invited plenary speaker at International Conference on Complex Delayed Systems, Mallorca, Spain, June 2012.
`Resonance in heteroclinic networks'. Invited plenary speaker at conference `Progress and Problems in Dynamical Systems’, Houston, USA, May 2012.
`A geometric model for initial orientation errors in pigeon navigation'. Seminar series, School of Biological Science, University of Auckland, NZ, August 2011.
`Optimal movement in the prey capture behaviour of weakly electric fish'. Seminar series, Department of Engineering Science, University of Auckland, NZ, August 2011.
`Switching on a heteroclinic network'. Minisymposium Presentation, SIAM
conference on Applications of Dynamical Systems, Utah, USA, May 2011.
`Dynamics of heteroclinic cycles and networks'. Minisymposium Organiser, SIAM
conference on Applications of Dynamical Systems, Utah, USA, May 2011.
`A geometric model for initial orientation errors in pigeon navigation'. Contributed presentation, Royal Society meeting on Orientation and Navigation, UK, April 2011.
`Bifurcations of heteroclinic cycles'. NZMC conference, Otago University, NZ, December 2010.
`What matters to an Applied Mathematician? A conversation that explores this theme' (with Judy Paterson). Keynote Presentation at a teacher’s professional development day, Auckland Mathematics Association, NZ, November 2010.
`Optimal movement in the prey capture behaviour of weakly electric fish'. Seminar series, School of Biological Science, University of Auckland, NZ, September 2010.
`A geometric model for initial orientation errors in pigeon navigation'. Poster presentation, SIAM Conference on Life Sciences, Pittsburgh, USA, July 2010.
`Bifurcations from robust heteroclinic cycles'. Seminar series, Leeds University, UK, January 2010.
`Switching on heteroclinic networks'. Poster presentation, NZMC conference, Massey University, NZ, December 2009.
'Feedback control of long-period periodic orbits'. Contributed Presentation, SIAM
conference on Applications of Dynamical Systems, Utah, USA, May 2009.
'Feedback control of unstable periodic orbits'. Special session on Ergodic Theory and Dynamical Systems, ANZMC conference, University of Canterbury,
Christchurch, NZ, December 2008.
'Optimal movement in the prey capture behaviour of weakly electric
fish'. Special session on Biological Modelling, ANZMC conference, University of Canterbury, Christchurch, NZ, December 2008.
'Optimal movement in the prey capture behaviour of weakly electric fish'. Applied Mathematics Seminar, University of Auckland, NZ, October 2008.
'Optimal movement and motor capacity in a short-range aquatic predator'. Society for
Mathematical Biology Conference, University of Toronto, Toronto, Canada, August 2008.
'Feedback control of unstable patterns and periodic
orbits'. DAMTP seminar series, University of Cambridge, UK, July 2008.
'Feedback control of unstable patterns and periodic
orbits'. AMS Central sectional meeting, Chicago, USA, October 2007.
'Controlling travelling waves of the complex Ginzburg-Landau
equation with spatial feedback'. Poster presentation, GRC Nonlinear
Science, Maine, USA, June 2007.
'Controlling travelling waves of the complex Ginzburg-Landau
equation with spatial feedback'. Contributed Presentation, SIAM
conference on Applications of Dynamical Systems, Utah, USA, May 2007.
'Controlling pattern formation'. Short presentation, Introductory Workshop on Dynamical Systems with Emphasis on
Extended Systems, MSRI, Berkeley, USA, January 2007.
'Controlling travelling waves of the complex Ginzburg-Landau equation with spatial feedback'.
Connections for Women: Dynamical Systems, MSRI, Berkeley, USA, January 2007.
'Cycling Cycles: Dynamics near a Heteroclinic Network'. Applied
Mathematics Colloquium, Northwestern University, USA, October 2006.
'Cycling Cycles: Dynamics near a Heteroclinic
Network'. Presentation at the Isaac Newton Institute Programme
'Pattern Formation in Large Domains', UK, October 2005.
'A Codimension Two Resonant Bifurcation from a Heteroclinic Cycle
with Complex Eigenvalues'. Contributed Presentation, SIAM conference on Applications of
Dynamical Systems, Utah, USA, May 2005.
'Cycling Cycles: Dynamics near a Heteroclinic Network'. Poster
presentation at Coupled 60 workshop, University of Houston, Texas,
USA, February 2005.
'Cycling Cycles: Dynamics near a Heteroclinic Network'.
Applied Mathematics Seminar Series, Exeter, UK, November 2004.
'Cycling Cycles: Dynamics near a Heteroclinic Network'. DAMTP
2nd year PhD Seminar Series, Cambridge, UK, May 2004.
'Cycling Cycles: Dynamics near a Heteroclinic Network'.
LMS PANDA meeting, Cambridge, UK, December 2003.
'Heteroclinic Networks in Rotating Convection'. AFD/NLP Group
Seminar Series, Cambridge, UK, October 2003.
'Heteroclinic Networks in Rotating Convection'. Poster
presentation at Workshop on Dynamics and Bifurcations of Patterns,
Colorado State University, USA, May 2003.
'Heteroclinic Networks in Rotating Convection'. Poster
presentation at SIAM conference on Applications of
Dynamical Systems, Utah, USA, May 2003.
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