Homoclinic points in the composition of two reflections

DOI10.1007/S12591-016-0304-ZzbMath1440.37031OpenAlexW2181554698MaRDI QIDQ2172956

Yanyan Li

Publication date: 22 April 2020

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1974/8288

zbMATH Keywords

horseshoemappingcompositionhomoclinic pointplanar systemchaotic system

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) 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) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Uses Software

• Dynamica

Cites Work

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• Horseshoes in the measure-preserving Hénon map
• A new construction of the unstable manifold for the measure-preserving H{é}non map
• Numerical study of quadratic area-preserving mappings
• Invariant manifolds

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