To the question of stability of periodic points of three-dimensional diffeomorphisms

DOI10.3103/S1063454117020133zbMath1373.37068OpenAlexW4231658943MaRDI QIDQ2404788

E. V. Vasil'eva

Publication date: 20 September 2017

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

Full work available at URL: https://doi.org/10.3103/s1063454117020133

zbMATH Keywords

stabilitynontransversal homoclinic pointhyperbolic pointthree-dimensional diffeomorphism

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems with hyperbolic orbits and sets (37D05) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (1)

Stability of periodic points of diffeomorphisms of multidimensional space

Cites Work

• 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
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