PUB - Publikationen an der Universität Bielefeld

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• [29]
  

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

  Beyn, W. - J., and Hüls, T. (2024). On the smoothness of principal angles between subspaces and their application to angular values of dynamical systems. Dynamical Systems .

  PUB | DOI | WoS
   
• [28]
  

  2023 | Preprint | Veröffentlicht | PUB-ID: 2969722

  Beyn, W. - J., and Hüls, T. (2023). Smoothness properties of principal angles between subspaces with applications to angular values of dynamical systems. arXiv:2303.07918.

  PUB | DOI | arXiv
   
• [27]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969721

  Beyn, W. - J., and Hüls, T. (2023). Angular Values of Nonautonomous Linear Dynamical Systems: Part II – Reduction Theory and Algorithm. SIAM Journal on Applied Dynamical Systems 22, 162-198.

  PUB | DOI | WoS
   
• [26]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964602

  Beyn, W. - J., Froyland, G., and Hüls, T. (2022). Angular Values of Nonautonomous and Random Linear Dynamical Systems: Part I---Fundamentals. SIAM Journal on Applied Dynamical Systems 21, 1245-1286.

  PUB | DOI | WoS
   
• [25]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932983

  Girod, A., and Hüls, T. (2018). On areas of attraction and repulsion in finite time dynamical systems and their numerical approximation. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 24, 1734-1755.

  PUB | DOI | WoS
   
• [24]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916443

  Hüls, T. (2017). COMPUTING STABLE HIERARCHIES OF FIBER BUNDLES. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 22, 3341-3367.

  PUB | DOI | WoS
   
• [23]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917128

  Girod, A., and Hüls, T. (2016). Nonautonomous systems with transversal homoclinic structures under discretization. BIT NUMERICAL MATHEMATICS 56, 605-631.

  PUB | DOI | WoS
   
• [22]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2905976

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

  PUB | DOI | WoS
   
• [21]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2906737

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

  PUB | DOI | WoS
   
• [20]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2906546

  Beyn, W. - J., Hüls, T., and Schenke, A. (2016). Symbolic coding for noninvertible systems: uniform approximation and numerical computation. Nonlinearity 29, 3346-3384.

  PUB | DOI | WoS
   
• [19]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955385

  Beyn, W. - J., and Hüls, T. (2014). Continuation and collapse of homoclinic tangles. Journal of Computational Dynamics 1, 71-109.

  PUB | DOI
   
• [18]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2717677

  Hüls, T., and Poetzsche, C. (2014). Qualitative Analysis of a Nonautonomous Beverton-Holt Ricker Model. SIAM Journal on Applied Dynamical Systems 13, 1442-1488.

  PUB | DOI | WoS
   
• [17]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2565287

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

  PUB | DOI | WoS
   
• [16]
  

  2013 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2699174

  Böhm, V., Chiarella, C., He, X. - Z., and Hüls, T. (2013). “A Homoclinic Route to Volatility: Dynamics of Asset Prices Under Autoregressive Forecasting” in Global Analysis of Dynamic Models in Economics and Finance, Bischi, G. I., Chiarella, C., and Sushko, I. eds. (Berlin, Heidelberg: Springer Berlin Heidelberg), 289-316.

  PUB | DOI
   
• [15]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454697

  Hüls, T., and Zou, Y. (2012). ON COMPUTING HETEROCLINIC TRAJECTORIES OF NON-AUTONOMOUS MAPS. Discrete and Continuous Dynamical Systems - Series B 17, 79-99.

  PUB | DOI | WoS
   
• [14]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1967969

  Hüls, T. (2011). Homoclinic trajectories of non-autonomous maps. Journal of Difference Equations and Applications 17, 9-31.

  PUB | DOI | WoS
   
• [13]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1588646

  Colonius, F., Hüls, T., and Rasmussen, M. (2010). Connecting orbits in perturbed systems. NONLINEAR DYNAMICS 59, 569-578.

  PUB | DOI | WoS
   
• [12]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003492

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

  PUB | DOI | WoS
   
• [11]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633778

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

  PUB | DOI | WoS
   
• [10]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586046

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

  PUB | DOI | WoS
   
• [9]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587387

  Beyn, W. - J., Hüls, T., and Samtenschnieder, M. - C. (2008). On r-periodic orbits of k-periodic maps. Journal of Difference Equations and Applications 14, 865-887.

  PUB | DOI | WoS
   
• [8]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1595230

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

  PUB | WoS
   
• [7]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596680

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

  PUB | DOI | WoS
   
• [6]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1600913

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

  PUB | DOI | WoS
   
• [5]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602306

  Hüls, T. (2005). Instability helps virtual flies to mate. BIOLOGICAL CYBERNETICS 93, 222-229.

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

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608942

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

  PUB | DOI | WoS
   
• [3]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605465

  Beyn, W. - J., Hüls, T., Kleinkauf, J. M., and Zou, Y. (2004). Numerical analysis of degenerate connecting orbits for maps. International Journal of Bifurcation and Chaos 14, 3385-3407.

  PUB | DOI | WoS
   
• [2]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605644

  Beyn, W. - J., and Hüls, T. (2004). Error estimates for approximating non-hyperbolic heteroclinic orbits of maps. Numerische Mathematik 99, 289-323.

  PUB | DOI | WoS
   
• [1]
  

  2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617569

  Hüls, T., and Zou, Y. K. (2001). Polynomial estimates and discrete saddle-node homoclinic orbits. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 256, 115-126.

  PUB | DOI | WoS