PUB - Publikationen an der Universität Bielefeld

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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. https://doi.org/10.3934/dcdsb.2024144

  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 . https://doi.org/10.1080/14689367.2024.2322156

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• [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

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• [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

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• [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

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• [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

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• [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

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• [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.

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• [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

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• [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