Cascades of Homoclinic Doubling Bifurcations

Ale Jan Homburg
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Ale Jan Homburg: University of Amsterdam, KdV Institute

A chapter in Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, 2001, pp 271-286 from Springer

Abstract: 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.

Keywords: Vector Field; Periodic Orbit; Bifurcation Diagram; Unstable Manifold; Parameter Family (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-56589-2_12

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DOI: 10.1007/978-3-642-56589-2_12

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