Invariants of the homoclinic trajectories of a two-dimensional diffeomorphism

DOI10.1134/S0001434611050117zbMath1244.37016MaRDI QIDQ650487

R. A. Mekhtiev

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

monodromy matrixhomoclinic pointhomoclinic trajectoryseparatrixtwo-dimensional manifoldhyperbolic fixed pointtwo-dimensional diffeomorphism

Mathematics Subject Classification ID

Homoclinic and heteroclinic orbits for dynamical systems (37C29) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

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• Transport in two-dimensional maps
• Closures of asymptotic curves in a two-dimensional symplectic map
• Homoclinic points in conservative systems
• Trellises Formed by Stable and Unstable Manifolds in the Plane

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