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Homoclinic classes with shadowing

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Publication:367108
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DOI10.1186/1029-242X-2012-97zbMath1323.37016WikidataQ59270643 ScholiaQ59270643MaRDI QIDQ367108

Manseob Lee, Jiweon Ahn, Keon-Hee Lee

Publication date: 26 September 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)


zbMATH Keywords

hyperbolicshadowing propertyhomoclinic classbasic setgenerically


Mathematics Subject Classification ID

Generic properties, structural stability of dynamical systems (37C20) Dynamical systems with hyperbolic orbits and sets (37D05) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)


Related Items (8)

Eventual shadowing for chain transitive sets of $C^1$ generic dynamical systems ⋮ Unnamed Item ⋮ Orbital shadowing property on chain transitive sets for generic diffeomorphisms ⋮ Lyapunov stable homoclinic classes for smooth vector fields ⋮ Unnamed Item ⋮ The ergodic shadowing property from the robust and generic view point ⋮ CHAIN COMPONENTS WITH THE STABLE SHADOWING PROPERTY FOR C1 VECTOR FIELDS ⋮ Asymptotic orbital shadowing property for diffeomorphisms







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