Hopf bifurcations and homoclinic tangencies

DOI10.1088/0951-7715/12/4/309zbMath0954.37025OpenAlexW2058493748MaRDI QIDQ4265668

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Publication date: 12 February 2001

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/12/4/309

zbMATH Keywords

Hopf bifurcationhomoclinic bifurcationhomoclinic pointhomoclinic tangency\(C^r\) diffeomorphismnonhyperbolic diffeomorphism

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

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Hopf-homoclinic bifurcations and heterodimensional cycles

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