29 Publikationen

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  • [29]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2989928
    W. - J. Beyn, and T. Hüls, “Angular spectra of linear dynamical systems in discrete time”, Discrete and Continuous Dynamical Systems. Series B, 2024.
    PUB | DOI | WoS | Preprint
     
  • [28]
    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
     
  • [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, 2023, 22, 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, 2022, 21, 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, 2018, 24, 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, 2017, 22, 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, 2016, 56, 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, 2016, 26, : 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, 2016, 15, 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, 2016, 29, 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, 2014, 1, 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, 2014, 13, 1442-1488.
    PUB | DOI | WoS
     
  • [17]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2565287
    G. Froyland, T. Hüls, G. P. Morriss, and T. M. Watson, “Computing covariant Lyapunov vectors, Oseledets vectors, and dichotomy projectors: A comparative numerical study”, Physica D Nonlinear Phenomena, 2013, 247, 18-39.
    PUB | DOI | WoS
     
  • [16]
    2013 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2699174
    V. Böhm, C. Chiarella, X. - Z. He, and T. Hüls, in Global Analysis of Dynamic Models in Economics and Finance (Eds.: G.I. Bischi, C. Chiarella, I. Sushko), Springer Berlin Heidelberg, Berlin, Heidelberg, 2013, p. 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, 2012, 17, 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, 2011, 17, 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, 2010, 59, 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, 2010, 48, 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, 2009, 12, 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, 2008, 18, 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, 2008, 14, 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, 2007, 7, 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, 2006, 12, 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, 2005, 4, 985-1007.
    PUB | DOI | WoS
     
  • [5]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602306
    T. Hüls, “Instability helps virtual flies to mate”, BIOLOGICAL CYBERNETICS, 2005, 93, 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, 2004, 17, 1-5.
    PUB | DOI | WoS
     
  • [3]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605465
    W. - J. Beyn, T. Hüls, J. M. Kleinkauf, and Y. Zou, “Numerical analysis of degenerate connecting orbits for maps”, International Journal of Bifurcation and Chaos, 2004, 14, 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, 2004, 99, 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, 2001, 256, 115-126.
    PUB | DOI | WoS
     

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