29 Publikationen

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  • [29]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2989928
    Beyn, W.-J., & Hüls, T., 2024. Angular spectra of linear dynamical systems in discrete time. Discrete and Continuous Dynamical Systems. Series B.
    PUB | DOI | WoS | Preprint
     
  • [28]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2987938
    Beyn, W.-J., & 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
     
  • [27]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969721
    Beyn, W.-J., & Hüls, T., 2023. Angular Values of Nonautonomous Linear Dynamical Systems: Part II – Reduction Theory and Algorithm. SIAM Journal on Applied Dynamical Systems, 22(1), p 162-198.
    PUB | DOI | WoS
     
  • [26]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964602
    Beyn, W.-J., Froyland, G., & Hüls, T., 2022. Angular Values of Nonautonomous and Random Linear Dynamical Systems: Part I---Fundamentals. SIAM Journal on Applied Dynamical Systems, 21(2), p 1245-1286.
    PUB | DOI | WoS
     
  • [25]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932983
    Girod, A., & 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(11), p 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(9), p 3341-3367.
    PUB | DOI | WoS
     
  • [23]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917128
    Girod, A., & Hüls, T., 2016. Nonautonomous systems with transversal homoclinic structures under discretization. BIT NUMERICAL MATHEMATICS, 56(2), p 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(7): 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(2), p 923-951.
    PUB | DOI | WoS
     
  • [20]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2906546
    Beyn, W.-J., Hüls, T., & Schenke, A., 2016. Symbolic coding for noninvertible systems: uniform approximation and numerical computation. Nonlinearity, 29(11), p 3346-3384.
    PUB | DOI | WoS
     
  • [19]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955385
    Beyn, W.-J., & Hüls, T., 2014. Continuation and collapse of homoclinic tangles. Journal of Computational Dynamics, 1(1), p 71-109.
    PUB | DOI
     
  • [18]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2717677
    Hüls, T., & Poetzsche, C., 2014. Qualitative Analysis of a Nonautonomous Beverton-Holt Ricker Model. SIAM Journal on Applied Dynamical Systems, 13(4), p 1442-1488.
    PUB | DOI | WoS
     
  • [17]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2565287
    Froyland, G., et al., 2013. Computing covariant Lyapunov vectors, Oseledets vectors, and dichotomy projectors: A comparative numerical study. Physica D Nonlinear Phenomena, 247(1), p 18-39.
    PUB | DOI | WoS
     
  • [16]
    2013 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2699174
    Böhm, V., et al., 2013. A Homoclinic Route to Volatility: Dynamics of Asset Prices Under Autoregressive Forecasting. In G. I. Bischi, C. Chiarella, & I. Sushko, eds. Global Analysis of Dynamic Models in Economics and Finance. Berlin, Heidelberg: Springer Berlin Heidelberg, pp. 289-316.
    PUB | DOI
     
  • [15]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454697
    Hüls, T., & Zou, Y., 2012. ON COMPUTING HETEROCLINIC TRAJECTORIES OF NON-AUTONOMOUS MAPS. Discrete and Continuous Dynamical Systems - Series B, 17(1), p 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(1), p 9-31.
    PUB | DOI | WoS
     
  • [13]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1588646
    Colonius, F., Hüls, T., & Rasmussen, M., 2010. Connecting orbits in perturbed systems. NONLINEAR DYNAMICS, 59(4), p 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(6), p 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(1), p 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(7), p 1957-1972.
    PUB | DOI | WoS
     
  • [9]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587387
    Beyn, W.-J., Hüls, T., & Samtenschnieder, M.-C., 2008. On r-periodic orbits of k-periodic maps. Journal of Difference Equations and Applications, 14(8), p 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(2), p 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(11), p 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(4), p 985-1007.
    PUB | DOI | WoS
     
  • [5]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602306
    Hüls, T., 2005. Instability helps virtual flies to mate. BIOLOGICAL CYBERNETICS, 93(3), p 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), p 1-5.
    PUB | DOI | WoS
     
  • [3]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605465
    Beyn, W.-J., et al., 2004. Numerical analysis of degenerate connecting orbits for maps. International Journal of Bifurcation and Chaos, 14(10), p 3385-3407.
    PUB | DOI | WoS
     
  • [2]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605644
    Beyn, W.-J., & Hüls, T., 2004. Error estimates for approximating non-hyperbolic heteroclinic orbits of maps. Numerische Mathematik, 99(2), p 289-323.
    PUB | DOI | WoS
     
  • [1]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617569
    Hüls, T., & Zou, Y.K., 2001. Polynomial estimates and discrete saddle-node homoclinic orbits. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 256(1), p 115-126.
    PUB | DOI | WoS
     

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