Multidimensional diffeomorphisms with stable periodic points

DOI10.1134/S1063454119040125zbMath1455.37021OpenAlexW3022766158MaRDI QIDQ5919033

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Publication date: 23 November 2020

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

Full work available at URL: https://doi.org/10.1134/s1063454119040125

zbMATH Keywords

stabilitycharacteristic exponentsnon-transversal homoclinic pointmultidimensional diffeomorphism

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

• Diffeomorphisms of multidimensional space with infinite set of stable periodic points
• Diffeomorphisms with infinitely many sinks
• Stability of periodic points of diffeomorphisms of multidimensional space
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