On theCinftygenericity of homoclinic orbits

DOI10.1088/0951-7715/13/3/308zbMath0983.37058OpenAlexW1627174796MaRDI QIDQ4494888

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Publication date: 9 August 2000

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/13/3/308

zbMATH Keywords

homotopy classeshomoclinic orbithomology group\(C^\infty\) genericity

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (8)

Convex billiards on convex spheres ⋮ On Peixoto’s conjecture for flows on non-orientable 2-manifolds ⋮ Area-preserving surface diffeomorphisms ⋮ Closing lemmas ⋮ Birth of homoclinic intersections: a model for the central dynamics of partially hyperbolic systems ⋮ Homoclinic intersections for geodesic flows on convex spheres ⋮ Decay of correlations for billiards with flat points I: channel effects ⋮ Homoclinic orbits for area preserving diffeomorphisms of surfaces

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