PUB - Publikationen an der Universität Bielefeld

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• [29]
  

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

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

  PUB | DOI | WoS
   
• [28]
  

  2023 | Preprint | Veröffentlicht | PUB-ID: 2969722

  Beyn, Wolf-Jürgen, and Hüls, Thorsten. “Smoothness properties of principal angles between subspaces with applications to angular values of dynamical systems”. arXiv:2303.07918 (2023).

  PUB | DOI | arXiv
   
• [27]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969721

  Beyn, Wolf-Jürgen, and Hüls, Thorsten. “Angular Values of Nonautonomous Linear Dynamical Systems: Part II – Reduction Theory and Algorithm”. SIAM Journal on Applied Dynamical Systems 22.1 (2023): 162-198.

  PUB | DOI | WoS
   
• [26]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964602

  Beyn, Wolf-Jürgen, Froyland, Gary, and Hüls, Thorsten. “Angular Values of Nonautonomous and Random Linear Dynamical Systems: Part I---Fundamentals”. SIAM Journal on Applied Dynamical Systems 21.2 (2022): 1245-1286.

  PUB | DOI | WoS
   
• [25]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932983

  Girod, Alina, and Hüls, Thorsten. “On areas of attraction and repulsion in finite time dynamical systems and their numerical approximation”. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 24.11 (2018): 1734-1755.

  PUB | DOI | WoS
   
• [24]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916443

  Hüls, Thorsten. “COMPUTING STABLE HIERARCHIES OF FIBER BUNDLES”. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 22.9 (2017): 3341-3367.

  PUB | DOI | WoS
   
• [23]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917128

  Girod, Alina, and Hüls, Thorsten. “Nonautonomous systems with transversal homoclinic structures under discretization”. BIT NUMERICAL MATHEMATICS 56.2 (2016): 605-631.

  PUB | DOI | WoS
   
• [22]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2905976

  Hüls, Thorsten. “On the Approximation of Stable and Unstable Fiber Bundles of (Non) Autonomous ODEs - A Contour Algorithm”. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 26.7 (2016): 1650118.

  PUB | DOI | WoS
   
• [21]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2906737

  Hüls, Thorsten. “A Contour Algorithm for Computing Stable Fiber Bundles of Nonautonomous, Noninvertible Maps”. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 15.2 (2016): 923-951.

  PUB | DOI | WoS
   
• [20]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2906546

  Beyn, Wolf-Jürgen, Hüls, Thorsten, and Schenke, Andre. “Symbolic coding for noninvertible systems: uniform approximation and numerical computation”. Nonlinearity 29.11 (2016): 3346-3384.

  PUB | DOI | WoS
   
• [19]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955385

  Beyn, Wolf-Jürgen, and Hüls, Thorsten. “Continuation and collapse of homoclinic tangles”. Journal of Computational Dynamics 1.1 (2014): 71-109.

  PUB | DOI
   
• [18]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2717677

  Hüls, Thorsten, and Poetzsche, Christian. “Qualitative Analysis of a Nonautonomous Beverton-Holt Ricker Model”. SIAM Journal on Applied Dynamical Systems 13.4 (2014): 1442-1488.

  PUB | DOI | WoS
   
• [17]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2565287

  Froyland, Gary, Hüls, Thorsten, Morriss, Gary P., and Watson, Thomas M. “Computing covariant Lyapunov vectors, Oseledets vectors, and dichotomy projectors: A comparative numerical study”. Physica D Nonlinear Phenomena 247.1 (2013): 18-39.

  PUB | DOI | WoS
   
• [16]
  

  2013 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2699174

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

  PUB | DOI
   
• [15]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454697

  Hüls, Thorsten, and Zou, Yongkui. “ON COMPUTING HETEROCLINIC TRAJECTORIES OF NON-AUTONOMOUS MAPS”. Discrete and Continuous Dynamical Systems - Series B 17.1 (2012): 79-99.

  PUB | DOI | WoS
   
• [14]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1967969

  Hüls, Thorsten. “Homoclinic trajectories of non-autonomous maps”. Journal of Difference Equations and Applications 17.1 (2011): 9-31.

  PUB | DOI | WoS
   
• [13]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1588646

  Colonius, Fritz, Hüls, Thorsten, and Rasmussen, Martin. “Connecting orbits in perturbed systems”. NONLINEAR DYNAMICS 59.4 (2010): 569-578.

  PUB | DOI | WoS
   
• [12]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003492

  Hüls, Thorsten. “COMPUTING SACKER-SELL SPECTRA IN DISCRETE TIME DYNAMICAL SYSTEMS”. SIAM Journal on Numerical Analysis 48.6 (2010): 2043-2064.

  PUB | DOI | WoS
   
• [11]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633778

  Hüls, Thorsten. “NUMERICAL COMPUTATION OF DICHOTOMY RATES AND PROJECTORS IN DISCRETE TIME”. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 12.1 (2009): 109-131.

  PUB | DOI | WoS
   
• [10]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586046

  Hüls, Thorsten. “A BIFURCATION ANALYSIS OF A 3D BLOWFLY MODEL IN DISCRETE AND CONTINUOUS TIME”. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 18.7 (2008): 1957-1972.

  PUB | DOI | WoS
   
• [9]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587387

  Beyn, Wolf-Jürgen, Hüls, Thorsten, and Samtenschnieder, Malte-Christopher. “On r-periodic orbits of k-periodic maps”. Journal of Difference Equations and Applications 14.8 (2008): 865-887.

  PUB | DOI | WoS
   
• [8]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1595230

  Hüls, Thorsten. “A model function for non-autonomous bifurcations of maps”. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 7.2 (2007): 351-363.

  PUB | WoS
   
• [7]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596680

  Hüls, Thorsten. “Homoclinic orbits of non-autonomous maps and their approximation”. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 12.11 (2006): 1103-1126.

  PUB | DOI | WoS
   
• [6]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1600913

  Hüls, Thorsten. “Bifurcation of connecting orbits with one nonhyperbolic fixed point for maps”. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 4.4 (2005): 985-1007.

  PUB | DOI | WoS
   
• [5]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602306

  Hüls, Thorsten. “Instability helps virtual flies to mate”. BIOLOGICAL CYBERNETICS 93.3 (2005): 222-229.

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

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608942

  Hüls, Thorsten. “A model function for polynomial rates in discrete dynamical systems”. APPLIED MATHEMATICS LETTERS 17.1 (2004): 1-5.

  PUB | DOI | WoS
   
• [3]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605465

  Beyn, Wolf-Jürgen, Hüls, Thorsten, Kleinkauf, JM, and Zou, Yongkui. “Numerical analysis of degenerate connecting orbits for maps”. International Journal of Bifurcation and Chaos 14.10 (2004): 3385-3407.

  PUB | DOI | WoS
   
• [2]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605644

  Beyn, Wolf-Jürgen, and Hüls, Thorsten. “Error estimates for approximating non-hyperbolic heteroclinic orbits of maps”. Numerische Mathematik 99.2 (2004): 289-323.

  PUB | DOI | WoS
   
• [1]
  

  2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617569

  Hüls, Thorsten, and Zou, YK. “Polynomial estimates and discrete saddle-node homoclinic orbits”. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 256.1 (2001): 115-126.

  PUB | DOI | WoS