Journal Articles

S. Hittmeyer, B. Krauskopf, H.M. Osinga and K. Shinohara, How to identify a hyperbolic set as a blender, to appear in Discrete and Continuous Dynamical Systems – Series A, doi: 10.3934/dcds.2020295

S. Hittmeyer, B. Krauskopf, H.M. Osinga and K. Shinohara, Existence of blenders in a Hénon-like family: geometric insights from invariant manifold computations, Nonlinearity, 31(10): R239–R267, 2018, doi: 10.1088/1361-6544/aacd66

S. Hittmeyer, B. Krauskopf and H.M. Osinga, From wild Lorenz-like to wild Rovella-like dynamics,Dynamical Systems, 30(4): 525-542, 2015, doi: 10.1080/14689367.2015.1081677

S. Hittmeyer, B. Krauskopf and H.M. Osinga, Interactions of the Julia set with critical and (un)stable sets in an angle-doubling map on C\{0}, International Journal of Bifurcation and Chaos, 25(4): 1530013, 2015, doi: 10.1142/S021812741530013X

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, 12(3): 1280–1329, 2013, doi: 10.1137/120902860

Refereed Proceedings

S. Hittmeyer, B. Krauskopf and H.M. Osinga, Generalized Mandelbrot and Julia sets in a family of planar angle-doubling maps, in M. Bohner, S. Siegmund, R.Š. Hilscher and P. Stehlík (Eds.), Difference Equations and Discrete Dynamical Systems with Applications, ICDEA 2018, Springer Proceedings in Mathematics and Statistics, Springer Nature (2020), doi: 10.1007/978-3-030-35502-9_2 pp. 21–54,

S. Hittmeyer, B. Krauskopf and H.M. Osinga, Generalized Julia Sets: from Cantor Bouquet to Cantor Cheese, S. Goldstine, D. McKenna and K. Fenyvesi (Eds.), Proceedings of Bridges 2019: Mathematics, Art, Music, Architecture, Education, Culture, Tessellations Publishing (2019), pp. 371–374, link to paper

H.M. Osinga, B. Krauskopf and S. Hittmeyer, Chaos and wild chaos in Lorenz-type systems, in Z. Al-Sharawi, J.M. Cushing and S. Elaydi (Eds.), Theory and Applications of Difference Equations and Discrete Dynamical Systems, ICDEA 2013, Springer Proceedings in Mathematics and Statistics 102, Springer-Verlag (2014), pp. 75–98, doi: 10.1007/978-3-662-44140-4_4

Other publications

S. Hittmeyer, B. Krauskopf and H.M. Osinga, Interactions of generalised Julia sets near the complex quadratic family, Proceedings of the International Congress of Women Mathematicians, 2014, link to paper

S. Hittmeyer, Bifurcations of invariant sets in a model of wild chaos, Doctoral Thesis, The University of Auckland, 2014, link to thesis

S. Hittmeyer, Continuation of Periodic Orbits in Conservative and Hamiltonian Systems (in German), Diploma thesis, Bielefeld University, 2009, link to thesis

S. Hittmeyer, The ISOMAP Algorithm for Non-linear Dimensionality Reduction, in M. Bolten (Ed.), Proceedings of the JSC Guest Student Programme on Scientific Computing 2007, Jülich Supercomputing Centre (2007), pp. 51-61, link to report