Stability of periodic points of diffeomorphisms of multidimensional space

DOI10.3103/S1063454118030111zbMath1430.37023OpenAlexW2892070893MaRDI QIDQ2289226

Yanyan Li

Publication date: 28 January 2020

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

Full work available at URL: https://doi.org/10.3103/s1063454118030111

zbMATH Keywords

stabilitynontransversal homoclinic pointhyperbolic pointmultidimensional diffeomorphism

Mathematics Subject Classification ID

Orbit growth in dynamical systems (37C35) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Generic properties, structural stability of dynamical systems (37C20) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (1)

Multidimensional diffeomorphisms with stable periodic points

Cites Work

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• Diffeomorphisms of multidimensional space with infinite set of stable periodic points
• Stable nonperiodic points of two-dimensional \(C^{1}\)-diffeomorphisms
• Diffeomorphisms with infinitely many sinks
• To the question of stability of periodic points of three-dimensional diffeomorphisms

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