Multi-pass stable periodic points of diffeomorphism of a plane with a homoclinic orbit

DOI10.1134/S1063454121030092zbMath1482.37040OpenAlexW4285420688MaRDI QIDQ2239075

Yanyan Li

Publication date: 2 November 2021

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1063454121030092

zbMATH Keywords

stabilitydiffeomorphismcharacteristic exponentsnon-transversal homoclinic point

Mathematics Subject Classification ID

Generic properties, structural stability of dynamical systems (37C20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Stability theory for smooth dynamical systems (37C75) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Symmetries and invariants of dynamical systems (37C79)

Cites Work

• Diffeomorphisms of the plane with stable periodic points
• Diffeomorphisms with infinitely many sinks
• Stability of periodic points of a diffeomorphism of a plane in a homoclinic orbit
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