Factorization of diffeomorphisms over phase portraits of vector fields on the plane

DOI10.1007/BF02466018zbMath0941.37007OpenAlexW2016602844MaRDI QIDQ1392332

R. I. Bogdanov

Publication date: 11 October 1998

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02466018

zbMATH Keywords

diffeomorphismfixed pointphase portraitsLie algebra of smooth vector fieldsinvariant foliations of diffeomorphisms

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (2)

Fractal structures in weakly dissipative KAM theory and related problems ⋮ Continuous billiards and the weakly dissipative Kolmogorov-Arnold-Moser theory

Cites Work

• THE BOGDANOV MAP: BIFURCATIONS, MODE LOCKING, AND CHAOS IN A DISSIPATIVE SYSTEM
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