PUB - Publikationen an der Universität Bielefeld

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• [29]
  

  2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2989928

  Beyn, Wolf-Jürgen, and Hüls, Thorsten. 2024. “Angular spectra of linear dynamical systems in discrete time”. Discrete and Continuous Dynamical Systems. Series B.

  PUB | DOI | WoS | Preprint
   
• [28]
  

  2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2987938

  Beyn, Wolf-Jürgen, and Hüls, Thorsten. 2024. “On the smoothness of principal angles between subspaces and their application to angular values of dynamical systems”. Dynamical Systems .

  PUB | DOI | WoS
   
• [27]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969721

  Beyn, Wolf-Jürgen, and Hüls, Thorsten. 2023. “Angular Values of Nonautonomous Linear Dynamical Systems: Part II – Reduction Theory and Algorithm”. SIAM Journal on Applied Dynamical Systems 22 (1): 162-198.

  PUB | DOI | WoS
   
• [26]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964602

  Beyn, Wolf-Jürgen, Froyland, Gary, and Hüls, Thorsten. 2022. “Angular Values of Nonautonomous and Random Linear Dynamical Systems: Part I---Fundamentals”. SIAM Journal on Applied Dynamical Systems 21 (2): 1245-1286.

  PUB | DOI | WoS
   
• [25]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932983

  Girod, Alina, and Hüls, Thorsten. 2018. “On areas of attraction and repulsion in finite time dynamical systems and their numerical approximation”. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 24 (11): 1734-1755.

  PUB | DOI | WoS
   
• [24]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916443

  Hüls, Thorsten. 2017. “COMPUTING STABLE HIERARCHIES OF FIBER BUNDLES”. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 22 (9): 3341-3367.

  PUB | DOI | WoS
   
• [23]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917128

  Girod, Alina, and Hüls, Thorsten. 2016. “Nonautonomous systems with transversal homoclinic structures under discretization”. BIT NUMERICAL MATHEMATICS 56 (2): 605-631.

  PUB | DOI | WoS
   
• [22]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2905976

  Hüls, Thorsten. 2016. “On the Approximation of Stable and Unstable Fiber Bundles of (Non) Autonomous ODEs - A Contour Algorithm”. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 26 (7): 1650118.

  PUB | DOI | WoS
   
• [21]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2906737

  Hüls, Thorsten. 2016. “A Contour Algorithm for Computing Stable Fiber Bundles of Nonautonomous, Noninvertible Maps”. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 15 (2): 923-951.

  PUB | DOI | WoS
   
• [20]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2906546

  Beyn, Wolf-Jürgen, Hüls, Thorsten, and Schenke, Andre. 2016. “Symbolic coding for noninvertible systems: uniform approximation and numerical computation”. Nonlinearity 29 (11): 3346-3384.

  PUB | DOI | WoS
   
• [19]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955385

  Beyn, Wolf-Jürgen, and Hüls, Thorsten. 2014. “Continuation and collapse of homoclinic tangles”. Journal of Computational Dynamics 1 (1): 71-109.

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• [18]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2717677

  Hüls, Thorsten, and Poetzsche, Christian. 2014. “Qualitative Analysis of a Nonautonomous Beverton-Holt Ricker Model”. SIAM Journal on Applied Dynamical Systems 13 (4): 1442-1488.

  PUB | DOI | WoS
   
• [17]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2565287

  Froyland, Gary, Hüls, Thorsten, Morriss, Gary P., and Watson, Thomas M. 2013. “Computing covariant Lyapunov vectors, Oseledets vectors, and dichotomy projectors: A comparative numerical study”. Physica D Nonlinear Phenomena 247 (1): 18-39.

  PUB | DOI | WoS
   
• [16]
  

  2013 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2699174

  Böhm, Volker, Chiarella, Carl, He, Xue-Zhong, and Hüls, Thorsten. 2013. “A Homoclinic Route to Volatility: Dynamics of Asset Prices Under Autoregressive Forecasting”. In Global Analysis of Dynamic Models in Economics and Finance, ed. Gian Italo Bischi, Carl Chiarella, and Iryna Sushko, 289-316. Berlin, Heidelberg: Springer Berlin Heidelberg.

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• [15]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454697

  Hüls, Thorsten, and Zou, Yongkui. 2012. “ON COMPUTING HETEROCLINIC TRAJECTORIES OF NON-AUTONOMOUS MAPS”. Discrete and Continuous Dynamical Systems - Series B 17 (1): 79-99.

  PUB | DOI | WoS
   
• [14]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1967969

  Hüls, Thorsten. 2011. “Homoclinic trajectories of non-autonomous maps”. Journal of Difference Equations and Applications 17 (1): 9-31.

  PUB | DOI | WoS
   
• [13]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1588646

  Colonius, Fritz, Hüls, Thorsten, and Rasmussen, Martin. 2010. “Connecting orbits in perturbed systems”. NONLINEAR DYNAMICS 59 (4): 569-578.

  PUB | DOI | WoS
   
• [12]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003492

  Hüls, Thorsten. 2010. “COMPUTING SACKER-SELL SPECTRA IN DISCRETE TIME DYNAMICAL SYSTEMS”. SIAM Journal on Numerical Analysis 48 (6): 2043-2064.

  PUB | DOI | WoS
   
• [11]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633778

  Hüls, Thorsten. 2009. “NUMERICAL COMPUTATION OF DICHOTOMY RATES AND PROJECTORS IN DISCRETE TIME”. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 12 (1): 109-131.

  PUB | DOI | WoS
   
• [10]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586046

  Hüls, Thorsten. 2008. “A BIFURCATION ANALYSIS OF A 3D BLOWFLY MODEL IN DISCRETE AND CONTINUOUS TIME”. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 18 (7): 1957-1972.

  PUB | DOI | WoS
   
• [9]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587387

  Beyn, Wolf-Jürgen, Hüls, Thorsten, and Samtenschnieder, Malte-Christopher. 2008. “On r-periodic orbits of k-periodic maps”. Journal of Difference Equations and Applications 14 (8): 865-887.

  PUB | DOI | WoS
   
• [8]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1595230

  Hüls, Thorsten. 2007. “A model function for non-autonomous bifurcations of maps”. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 7 (2): 351-363.

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• [7]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596680

  Hüls, Thorsten. 2006. “Homoclinic orbits of non-autonomous maps and their approximation”. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 12 (11): 1103-1126.

  PUB | DOI | WoS
   
• [6]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1600913

  Hüls, Thorsten. 2005. “Bifurcation of connecting orbits with one nonhyperbolic fixed point for maps”. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 4 (4): 985-1007.

  PUB | DOI | WoS
   
• [5]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602306

  Hüls, Thorsten. 2005. “Instability helps virtual flies to mate”. BIOLOGICAL CYBERNETICS 93 (3): 222-229.

  PUB | DOI | WoS | PubMed | Europe PMC
   
• [4]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608942

  Hüls, Thorsten. 2004. “A model function for polynomial rates in discrete dynamical systems”. APPLIED MATHEMATICS LETTERS 17 (1): 1-5.

  PUB | DOI | WoS
   
• [3]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605465

  Beyn, Wolf-Jürgen, Hüls, Thorsten, Kleinkauf, JM, and Zou, Yongkui. 2004. “Numerical analysis of degenerate connecting orbits for maps”. International Journal of Bifurcation and Chaos 14 (10): 3385-3407.

  PUB | DOI | WoS
   
• [2]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605644

  Beyn, Wolf-Jürgen, and Hüls, Thorsten. 2004. “Error estimates for approximating non-hyperbolic heteroclinic orbits of maps”. Numerische Mathematik 99 (2): 289-323.

  PUB | DOI | WoS
   
• [1]
  

  2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617569

  Hüls, Thorsten, and Zou, YK. 2001. “Polynomial estimates and discrete saddle-node homoclinic orbits”. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 256 (1): 115-126.

  PUB | DOI | WoS