Stable and completely unstable periodic points of diffeomorphism of a plane with a heteroclinic contour

DOI10.1134/S1063454120030152zbMath1460.37024MaRDI QIDQ2227896

E. V. Vasil'eva

Publication date: 16 February 2021

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

zbMATH Keywords

stabilityheteroclinic pointshyperbolic fixed pointsnon-transversal intersectiondiffeomorphism of planeheteroclinic contour

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) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

• Stable nonperiodic points of two-dimensional \(C^{1}\)-diffeomorphisms
• Three-dimensional dynamic systems with noncoarse homoclinical contours
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