Diffeomorphisms of multidimensional space with infinite set of stable periodic points

DOI10.3103/S1063454112030077zbMath1338.37036MaRDI QIDQ384730

E. V. Vasil'eva

Publication date: 28 November 2013

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

zbMATH Keywords

homoclinic pointsdiffeomorphism of a multidimensional spacestable periodic points

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (5)

To the question of stability of periodic points of three-dimensional diffeomorphisms ⋮ Multidimensional diffeomorphisms with stable periodic points ⋮ Stable periodic solutions of periodic systems of differential equations ⋮ Stability of periodic points of diffeomorphisms of multidimensional space ⋮ Stability of periodic points of a diffeomorphism of a plane in a homoclinic orbit

Cites Work

• Unnamed Item
• Stable nonperiodic points of two-dimensional \(C^{1}\)-diffeomorphisms
• Diffeomorphisms with infinitely many sinks

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