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Wolf-Jürgen Beyn, Thorsten Hüls.
Angular spectra of linear dynamical systems in discrete time.
Discrete and Continuous Dynamical Systems-Series B (2024)
Abstract,
arXiv,
Artikel.
Wolf-Jürgen Beyn, Thorsten Hüls.
On the smoothness of principal angles between subspaces and their application to angular values of dynamical systems.
Dynamical Systems - An International Journal 39 no. 3 (2024) pp. 461-499.
Abstract,
arXiv,
Artikel.
Wolf-Jürgen Beyn, Thorsten Hüls.
Angular values of nonautonomous linear dynamical systems: Part II - Reduction theory and algorithm.
SIAM Journal on Applied Dynamical Systems 22
no. 1 (2023) pp. 162-198.
Abstract,
arXiv,
Artikel.
Wolf-Jürgen Beyn, Gary Froyland, Thorsten Hüls.
Angular values of nonautonomous and random linear dynamical systems:
Part I - Fundamentals.
SIAM Journal on Applied Dynamical Systems 21
no. 2 (2022) pp. 1245-1286.
Abstract,
arXiv,
Artikel.
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 24
no. 11 (2018)
pp. 1734-1755.
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.
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