Veröffentlichungen

Alina Girod, Thorsten Hüls.
On areas of attraction and repulsion in finite time dynamical systems and their numerical approximation.
Journal of Difference Equations and Applications. DOI: 10.1080/10236198.2018.1518438 (2018). Abstract, Artikel.


Thorsten Hüls.
Computing stable hierarchies of fiber bundles.
Discrete and Continuous Dynamical Systems-Series B 22 no. 9 (2017) pp. 3341-3367. Abstract, Artikel.


Wolf-Jürgen Beyn, Thorsten Hüls, Andre Schenke.
Symbolic coding for noninvertible systems: uniform approximation and numerical computation.
Nonlinearity 29 no. 11 (2016) pp. 3346-3384. Abstract, Artikel.


Thorsten Hüls.
On the approximation of stable and unstable fiber bundles of (non)autonomous ODEs − a contour algorithm.
International Journal of Bifurcation and Chaos 26 no. 7 (2016) 1650118 (10 pages). Abstract, Artikel.


Thorsten Hüls.
A contour algorithm for computing stable fiber bundles of nonautonomous, noninvertible maps.
SIAM Journal on Applied Dynamical Systems 15 no. 2 (2016) pp. 923-951. Abstract, Artikel.


Alina Girod, Thorsten Hüls.
Nonautonomous systems with transversal homoclinic structures under discretization.
BIT Numerical Mathematics 56 no. 2 (2016) pp. 605-631. Abstract, Artikel.


Thorsten Hüls, Christian Pötzsche.
Qualitative analysis of a nonautonomous Beverton-Holt Ricker model.
SIAM Journal on Applied Dynamical Systems 13 no. 4 (2014) pp. 1442-1488. Abstract, Artikel.


Wolf-Jürgen Beyn, Thorsten Hüls.
Continuation and collapse of homoclinic tangles.
Journal of Computational Dynamics 1 no. 1 (2014) pp. 71-109. Abstract, Artikel.


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, 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)