Preprints

Wolf-Jürgen Beyn, Thorsten Hüls.
Continuation and collapse of homoclinic tangles.
SFB 701, Preprint 11117, to appear in the Journal of Computational Dynamics. Abstract, PDF.

 Publications

Gary Froyland, Thorsten Hüls, Gary P. Morriss, Thomas M. Watson.
Computing covariant Lyapunov vectors, Oseledets vectors, and dichotomy projectors: A comparative numerical study.
Physica D: Nonlinear Phenomena 247 (2013), pp. 18-39. Abstract, Artikel.


Volker Böhm, Carl Chiarella, Xue-Zhong He, Thorsten Hüls.
A homoclinic route to volatility: Dynamics of asset prices under autoregressive forecasting.
Global Analysis of Dynamic Models in Economics and Finance, part 1 (2013) pp. 289-316. Abstract, Artikel.


Thorsten Hüls, Yongkui Zou.
On computing heteroclinic trajectories of non-autonomous maps.
Discrete and Continuous Dynamical Systems-Series B 17 no. 1 (2012) pp. 79-99. Abstract, Artikel.


Thorsten Hüls.
Homoclinic trajectories of non-autonomous maps.
Journal of Difference Equations and Applications 17 no. 1 (2011) pp. 9-31. Abstract, Article.


Thorsten Hüls.
Computing Sacker-Sell spectra in discrete time dynamical systems.
SIAM Journal on Numerical Analysis 48 no. 6 (2010) pp. 2043-2064. Abstract, Article.


Fritz Colonius, Thorsten Hüls, Martin Rasmussen.
Connecting orbits in perturbed systems.
Nonlinear Dynamics 59 no. 4 (2010) pp. 569-578. Abstract, Article.


Thorsten Hüls.
Numerical computation of dichotomy rates and projectors in discrete time.
Discrete and Continuous Dynamical Systems-Series B 12 no. 1 (2009) pp. 109-131. Abstract, Article.


Wolf-Jürgen Beyn, Thorsten Hüls, Malte Samtenschnieder.
On r-periodic orbits of k-periodic maps.
Journal of Difference Equations and Applications 14 no. 8 (2008) pp. 865-887. Abstract, Article.


Thorsten Hüls.
A bifurcation analysis of a 3D blowfly model in discrete and continuous time.
International Journal of Bifurcation and Chaos 18 no. 7 (2008) pp. 1957-1972. Abstract, Article.


Thorsten Hüls.
A model function for non-autonomous bifurcations of maps.
Discrete and Continuous Dynamical Systems-Series B 7 no. 2 (2007) pp. 351-363. Abstract, Article.


Thorsten Hüls.
Homoclinic orbits of non-autonomous maps and their approximation.
Journal of Difference Equations and Applications 12 no. 11 (2006) pp. 1103-1126. Abstract, Article.


Thorsten Hüls.
Bifurcation of connecting orbits with one nonhyperbolic fixed point for maps.
SIAM Journal on Applied Dynamical Systems 4 no. 4 (2005) pp. 985-1007. Abstract, Article.


Thorsten Hüls.
Instability helps virtual flies to mate.
Biological Cybernetics 93 no. 3 (2005) pp. 222-229. Abstract, Article.


Thorsten Hüls.
A model function for polynomial rates in discrete dynamical systems.
Applied Mathematics Letters 17 no. 1 (2004) pp. 1-5. Abstract, Article.


Wolf-Jürgen Beyn, Thorsten Hüls, Jan-Martin Kleinkauf, Yongkui Zou.
Numerical analysis of degenerate connecting orbits for maps.
International Journal of Bifurcation and Chaos 14 no. 10 (2004) pp. 3385-3407. Abstract, Article.


Wolf-Jürgen Beyn, Thorsten Hüls.
Error estimates for approximating non-hyperbolic heteroclinic orbits of maps.
Numerische Mathematik 99 no. 2 (2004) pp. 289-323. Abstract, Article.


Thorsten Hüls, Yongkui Zou.
Polynomial estimates and discrete saddle-node homoclinic orbits.
Journal of Mathematical Analysis and Applications 256 no. 1 (2001) pp. 115-126. Abstract, Article.

 Habilitation, Ph.D. thesis and Diploma thesis

Thorsten Hüls.
Non-autonomous dynamics in discrete time – Numerical analysis and computational methods
Bielefeld University (2009)


Thorsten Hüls.
Numerische Approximation nicht-hyperbolischer heterokliner Orbits.
Shaker-Verlag, Aachen (2003)


Thorsten Hüls.
Heterokline Orbits in diskreten dynamischen Systemen.
Bielefeld University (1998)



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