Attractors in a Šil'nikov-Hopf scenario and a related one-dimensional map

DOI10.1016/0167-2789(93)90283-7zbMath0783.58043OpenAlexW2041479965MaRDI QIDQ1312465

Miquel Bosch, Carles Simó

Publication date: 31 January 1994

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(93)90283-7

zbMATH Keywords

attractorscircle mapreturn mapŠil'nikov-Hopf bifurcation

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Low-dimensional dynamical systems (37E99)

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Cites Work

• Cycles and measure of bifurcation sets for two-dimensional diffeomorphisms
• Local and global behavior near homoclinic orbits
• Transversality of the invariant manifolds associated to the Lyapunov family of periodic orbits near \(L_ 2\) in the restricted three-body problem
• Abundance of strange attractors
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