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Nonautonomous Bifurcation

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Nonautonomous Bifurcation Theory

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Abstract

As in the continuous time situation, bifurcations in nonautonomous difference equations are classified as attractor bifurcation, solution bifurcation and bifurcation of minimal sets and invariant graphs. In reviewing sufficient conditions for such bifurcations, we try to complement those results covered for ordinary differential equations already. A nonautonomous Sacker–Neimark bifurcation is understood as an attractor bifurcation.

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Authors and Affiliations

  1. Department of Primary Care and Public Health, Brighton & Sussex Medical School, University of Sussex, Brighton, UK

    Vasso Anagnostopoulou

  2. Institut für Mathematik, University of Klagenfurt, Klagenfurt, Austria

    Christian Pötzsche

  3. Department of Mathematics, Imperial College London, London, UK

    Martin Rasmussen

Authors
  1. Vasso Anagnostopoulou
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  2. Christian Pötzsche
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  3. Martin Rasmussen
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Anagnostopoulou, V., Pötzsche, C., Rasmussen, M. (2023). Nonautonomous Bifurcation. In: Nonautonomous Bifurcation Theory. Frontiers in Applied Dynamical Systems: Reviews and Tutorials. Springer, Cham. https://doi.org/10.1007/978-3-031-29842-4_6

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