29 Publikationen

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  • [29]
    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 . https://doi.org/10.1080/14689367.2024.2322156
    PUB | DOI | WoS
     
  • [28]
    2023 | Preprint | Veröffentlicht | PUB-ID: 2969722
    Beyn, W. - J., & Hüls, T. (2023). Smoothness properties of principal angles between subspaces with applications to angular values of dynamical systems. arXiv:2303.07918. https://doi.org/10.48550/ARXIV.2303.07918
    PUB | DOI | arXiv
     
  • [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), 162-198. https://doi.org/10.1137/20M1387766
    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), 1245-1286. https://doi.org/10.1137/20M1387730
    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), 1734-1755. https://doi.org/10.1080/10236198.2018.1518438
    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), 3341-3367. https://doi.org/10.3934/dcdsb.2017140
    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), 605-631. https://doi.org/10.1007/s10543-015-0567-8
    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. https://doi.org/10.1142/S0218127416501182
    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), 923-951. https://doi.org/10.1137/140999815
    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), 3346-3384. doi:10.1088/0951-7715/29/11/3346
    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), 71-109. https://doi.org/10.3934/jcd.2014.1.71
    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), 1442-1488. https://doi.org/10.1137/140955434
    PUB | DOI | WoS
     
  • [17]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2565287
    Froyland, G., Hüls, T., Morriss, G. P., & Watson, T. M. (2013). Computing covariant Lyapunov vectors, Oseledets vectors, and dichotomy projectors: A comparative numerical study. Physica D Nonlinear Phenomena, 247(1), 18-39. https://doi.org/10.1016/j.physd.2012.12.005
    PUB | DOI | WoS
     
  • [16]
    2013 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2699174
    Böhm, V., Chiarella, C., He, X. - Z., & Hüls, T. (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 (pp. 289-316). Berlin, Heidelberg: Springer Berlin Heidelberg. doi:10.1007/978-3-642-29503-4_11
    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), 79-99. https://doi.org/10.3934/dcdsb.2012.17.79
    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), 9-31. https://doi.org/10.1080/10236190902932742
    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), 569-578. https://doi.org/10.1007/s11071-009-9563-3
    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), 2043-2064. https://doi.org/10.1137/090754509
    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), 109-131. https://doi.org/10.3934/dcdsb.2009.12.109
    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), 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), 865-887. https://doi.org/10.1080/10236190801940010
    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), 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), 1103-1126. https://doi.org/10.1080/10236190601045713
    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), 985-1007. https://doi.org/10.1137/040614670
    PUB | DOI | WoS
     
  • [5]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602306
    Hüls, T. (2005). Instability helps virtual flies to mate. BIOLOGICAL CYBERNETICS, 93(3), 222-229. https://doi.org/10.1007/s00422-005-0581-z
    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), 1-5. https://doi.org/10.1016/S0893-9659(03)00208-8
    PUB | DOI | WoS
     
  • [3]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605465
    Beyn, W. - J., Hüls, T., Kleinkauf, J. M., & Zou, Y. (2004). Numerical analysis of degenerate connecting orbits for maps. International Journal of Bifurcation and Chaos, 14(10), 3385-3407. https://doi.org/10.1142/S0218127404011405
    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), 289-323. https://doi.org/10.1007/s00211-004-0563-4
    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), 115-126.
    PUB | DOI | WoS
     

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