Homoclinic Cycle Bifurcations in Planar Maps

DOI10.1142/S0218127417300129zbMath1360.37128MaRDI QIDQ2985984

Kazuyuki Aihara, Motomasa Komuro, Kyohei Kamiyama

Publication date: 11 May 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

global bifurcationdiscrete-time dynamical systemhomoclinic tanglechaotic invariant closed curvehomoclinic cycle bifurcation

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Cites Work

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• Normal forms of continuous piecewise linear Vector fields and chaotic attractors Part II: chaotic attractors
• Quasi-Periodic Bifurcations of Higher-Dimensional Tori
• Normal forms of continuous piecewise linear vector fields and chaotic attractors Part I: Linear vector fields with a section
• Quantitative quasiperiodicity
• Generalized Hénon Map and Bifurcations of Homoclinic Tangencies

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