Homoclinic points in symplectic and volume-preserving diffeomorphisms

DOI10.1007/BF02101901zbMath0959.37050WikidataQ56609548 ScholiaQ56609548MaRDI QIDQ1918105

Zhihong Xia

Publication date: 2 May 2001

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

homoclinic pointsymplectic diffeomorphismvolume-preserving diffeomorphism

Mathematics Subject Classification ID

Related Items

Convex billiards on convex spheres, Partial hyperbolicity for symplectic diffeomorphisms, Area-preserving surface diffeomorphisms, Closing lemmas, A lower bound for topological entropy of generic non-Anosov symplectic diffeomorphisms, Birth of homoclinic intersections: a model for the central dynamics of partially hyperbolic systems, Hyperbolic fixed points and periodic orbits of Hamiltonian diffeomorphisms, Equivalent conditions of dominated splitting for volume-preserving diffeomorphisms, A pasting lemma and some applications for conservative systems, Approximation des ensembles ω-limites des difféomorphismes par des orbites périodiques, Homoclinic intersections for geodesic flows on convex spheres, Decay of correlations for billiards with flat points I: channel effects, A basic \(C^1\) perturbation theorem, Partial hyperbolicity or dense elliptic periodic points for 𝐶¹-generic symplectic diffeomorphisms, Homoclinic orbits in families of hypersurfaces with hyperbolic periodic orbits, 𝐶¹ Connecting Lemmas, Hyperbolicity in the volume-preserving scenario

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