PUB - Publikationen an der Universität Bielefeld

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• [29]
  

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

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

  PUB | DOI | WoS
   
• [26]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964602

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

  PUB | DOI | WoS
   
• [25]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932983

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

  PUB | DOI | WoS
   
• [24]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916443

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

  PUB | DOI | WoS
   
• [23]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917128

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

  PUB | DOI | WoS
   
• [22]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2905976

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

  PUB | DOI | WoS
   
• [21]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2906737

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

  PUB | DOI | WoS
   
• [20]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2906546

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

  PUB | DOI | WoS
   
• [19]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955385

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

  PUB | DOI
   
• [18]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2717677

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

  PUB | DOI | WoS
   
• [17]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2565287

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

  PUB | DOI | WoS
   
• [16]
  

  2013 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2699174

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

  PUB | DOI
   
• [15]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454697

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

  PUB | DOI | WoS
   
• [14]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1967969

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

  PUB | DOI | WoS
   
• [13]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1588646

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

  PUB | DOI | WoS
   
• [12]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003492

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

  PUB | DOI | WoS
   
• [11]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633778

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

  PUB | DOI | WoS
   
• [10]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586046

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

  PUB | DOI | WoS
   
• [9]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587387

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

  PUB | DOI | WoS
   
• [8]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1595230

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

  PUB | WoS
   
• [7]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596680

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

  PUB | DOI | WoS
   
• [6]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1600913

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

  PUB | DOI | WoS
   
• [5]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602306

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

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

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608942

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

  PUB | DOI | WoS
   
• [3]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605465

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

  PUB | DOI | WoS
   
• [2]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605644

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

  PUB | DOI | WoS
   
• [1]
  

  2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617569

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

  PUB | DOI | WoS