Topologically transversal reversible homoclinic sets

DOI10.1090/S0002-9939-02-06473-0zbMath1009.37011MaRDI QIDQ4539857

Michal Fečkan

Publication date: 11 July 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Melnikov functionhyperbolic fixed point\(R\)-reversible diffeomorphism

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Differential topological aspects of diffeomorphisms (57R50)

Related Items (2)

Inflated deterministic chaos and Smale's horseshoe ⋮ Dynamics of generalized PT-symmetric dimers with time-periodic gain-loss

Cites Work

• Homoclinic bifurcations and the area-conserving Henon mapping
• Homoclinic period blow-up in reversible and conservative systems
• Subharmonic solutions in singular systems
• Differential Topology
• Reversible Diffeomorphisms and Flows
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