The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms: The Arnol'd resonance web

zbMath1154.37319MaRDI QIDQ2519136

Carles Simó, Renato Vitolo, Henk W. Broer

Publication date: 22 January 2009

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1228486406

zbMATH Keywords

strange attractorsheteroclinic intersectionsquasi-periodic bifurcationsRuelle-Takens scenariosaddle periodic pointsinvariant two-torus

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Resonance in context of PDEs (35B34) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

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