PUB - Publikationen an der Universität Bielefeld

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• [29]
  

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

  W.-J. Beyn and T. Hüls, “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

  W.-J. Beyn and T. Hüls, “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

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

  PUB | DOI | WoS
   
• [26]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964602

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

  PUB | DOI | WoS
   
• [25]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932983

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

  PUB | DOI | WoS
   
• [24]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916443

  T. Hüls, “COMPUTING STABLE HIERARCHIES OF FIBER BUNDLES”, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, vol. 22, 2017, pp. 3341-3367.

  PUB | DOI | WoS
   
• [23]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917128

  A. Girod and T. Hüls, “Nonautonomous systems with transversal homoclinic structures under discretization”, BIT NUMERICAL MATHEMATICS, vol. 56, 2016, pp. 605-631.

  PUB | DOI | WoS
   
• [22]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2905976

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

  PUB | DOI | WoS
   
• [21]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2906737

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

  PUB | DOI | WoS
   
• [20]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2906546

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

  PUB | DOI | WoS
   
• [19]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955385

  W.-J. Beyn and T. Hüls, “Continuation and collapse of homoclinic tangles”, Journal of Computational Dynamics, vol. 1, 2014, pp. 71-109.

  PUB | DOI
   
• [18]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2717677

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

  PUB | DOI | WoS
   
• [17]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2565287

  G. Froyland, et al., “Computing covariant Lyapunov vectors, Oseledets vectors, and dichotomy projectors: A comparative numerical study”, Physica D Nonlinear Phenomena, vol. 247, 2013, pp. 18-39.

  PUB | DOI | WoS
   
• [16]
  

  2013 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2699174

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

  PUB | DOI
   
• [15]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454697

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

  PUB | DOI | WoS
   
• [14]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1967969

  T. Hüls, “Homoclinic trajectories of non-autonomous maps”, Journal of Difference Equations and Applications, vol. 17, 2011, pp. 9-31.

  PUB | DOI | WoS
   
• [13]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1588646

  F. Colonius, T. Hüls, and M. Rasmussen, “Connecting orbits in perturbed systems”, NONLINEAR DYNAMICS, vol. 59, 2010, pp. 569-578.

  PUB | DOI | WoS
   
• [12]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003492

  T. Hüls, “COMPUTING SACKER-SELL SPECTRA IN DISCRETE TIME DYNAMICAL SYSTEMS”, SIAM Journal on Numerical Analysis, vol. 48, 2010, pp. 2043-2064.

  PUB | DOI | WoS
   
• [11]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633778

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

  PUB | DOI | WoS
   
• [10]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586046

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

  PUB | DOI | WoS
   
• [9]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587387

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

  PUB | DOI | WoS
   
• [8]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1595230

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

  PUB | WoS
   
• [7]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596680

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

  PUB | DOI | WoS
   
• [6]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1600913

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

  PUB | DOI | WoS
   
• [5]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602306

  T. Hüls, “Instability helps virtual flies to mate”, BIOLOGICAL CYBERNETICS, vol. 93, 2005, pp. 222-229.

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

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608942

  T. Hüls, “A model function for polynomial rates in discrete dynamical systems”, APPLIED MATHEMATICS LETTERS, vol. 17, 2004, pp. 1-5.

  PUB | DOI | WoS
   
• [3]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605465

  W.-J. Beyn, et al., “Numerical analysis of degenerate connecting orbits for maps”, International Journal of Bifurcation and Chaos, vol. 14, 2004, pp. 3385-3407.

  PUB | DOI | WoS
   
• [2]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605644

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

  PUB | DOI | WoS
   
• [1]
  

  2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617569

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

  PUB | DOI | WoS