Stable nonperiodic points of two-dimensional \(C^{1}\)-diffeomorphisms

DOI10.3103/S1063454107020045zbMath1146.37028MaRDI QIDQ945990

E. V. Vasil'eva

Publication date: 22 September 2008

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

zbMATH Keywords

stabilityperiodic pointshomoclinic pointself-diffeomorphisms of the plane with a saddle fixed point and a nontransversal homoclinic point

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Stability theory for smooth dynamical systems (37C75) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (6)

To the question of stability of periodic points of three-dimensional diffeomorphisms ⋮ Diffeomorphisms of multidimensional space with infinite set of stable periodic points ⋮ Stable and completely unstable periodic points of diffeomorphism of a plane with a heteroclinic contour ⋮ 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

• Diffeomorphisms with infinitely many sinks
• Unnamed Item

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