Preprints

Gary Froyland, Thorsten Hüls, Gary P. Morriss, Thomas M. Watson.
Computing covariant vectors, Lyapunov vectors, Oseledets vectors, and dichotomy projectors: a comparative numerical study.
SFB 701, Preprint 12023. Abstract, PDF.


Volker Böhm, Carl Chiarella, Xue-Zhong He, Thorsten Hüls.
A homoclinic route to volatility: Dynamics of asset prices under autoregressive forecasting.
Preprint, eingereicht. Abstract, PDF.


Wolf-Jürgen Beyn, Thorsten Hüls.
Continuation and collapse of homoclinic tangles.
SFB 701, Preprint 11117. Abstract, PDF.

 Veröffentlichungen

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, Artikel.


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


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


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, Artikel.


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, Artikel.


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, Artikel.


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, Artikel.


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, Artikel.


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, Artikel.


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


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


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, Artikel.


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, Artikel.


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, Artikel.

 Habilitation, Dissertation und Diplomarbeit

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


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


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



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