Hyperbolicity, stability, and the criterion of homoclinic points

zbMath0911.58023MaRDI QIDQ1126731

Shuhei Hayashi

Publication date: 6 August 1998

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/232352

zbMATH Keywords

surveystructural stabilityhomoclinic pointclosing lemmaconnecting lemmaLjapunov exponents

Mathematics Subject Classification ID

Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Stability theory for smooth dynamical systems (37C75) Dynamical systems with hyperbolic behavior (37D99) Morse-Smale systems (37D15)

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3-manifolds that admit knotted solenoids as attractors ⋮ Maximal transitive sets with singularities for genericC 1 vector fields ⋮ Approximation des ensembles ω-limites des difféomorphismes par des orbites périodiques

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