Different types of stable periodic points of diffeomorphism of a plane with a homoclinic orbit

DOI10.1134/S106345412102014XzbMath1484.37036OpenAlexW3215846386MaRDI QIDQ2047543

Yanyan Li

Publication date: 20 August 2021

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

Full work available at URL: https://doi.org/10.1134/s106345412102014x

zbMATH Keywords

stabilitydiffeomorphismcharacteristic exponentsnon-transversal homoclinic point

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Generic properties, structural stability of dynamical systems (37C20) Stability theory for smooth dynamical systems (37C75) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

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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