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Cascades of Homoclinic Doubling Bifurcations

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Book cover Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems

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Abstract

We present an overview of the theory of homoclinic doubling cascades, describing bifurcation theory and discussing universal scaling properties obtained from a renormalization theory.

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Authors and Affiliations

  1. KdV Institute, University of Amsterdam, Plantage Muidergracht 24, 1018 TV, Amsterdam, The Netherlands

    Ale Jan Homburg

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  1. Ale Jan Homburg
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Editor information

Editors and Affiliations

  1. Freie Universität Berlin Institut für Mathematik I, Arnimallee 2-6, 14195, Berlin, Germany

    Bernold Fiedler

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© 2001 Springer-Verlag Berlin Heidelberg

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Homburg, A.J. (2001). Cascades of Homoclinic Doubling Bifurcations. In: Fiedler, B. (eds) Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56589-2_12

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  • DOI: https://doi.org/10.1007/978-3-642-56589-2_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62524-4

  • Online ISBN: 978-3-642-56589-2

  • eBook Packages: Springer Book Archive

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