Area-preserving surface diffeomorphisms

DOI10.1007/S00220-005-1514-3zbMath1103.37029arXivmath/0503223OpenAlexW3104669760WikidataQ56603641 ScholiaQ56603641MaRDI QIDQ852018

Zhihong Xia

Publication date: 27 November 2006

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

Full work available at URL: https://arxiv.org/abs/math/0503223

zbMATH Keywords

generic propertiesstable manifoldshyperbolic periodic pointsLefschetz fixed-point theoremtheory of prime ends

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Partially hyperbolic systems and dominated splittings (37D30)

Related Items (8)

Transitivity of generic semigroups of area-preserving surface diffeomorphisms ⋮ Homoclinic intersections for geodesic flows on convex spheres ⋮ Decay of correlations for billiards with flat points I: channel effects ⋮ Aperiodic invariant continua for surface homeomorphisms ⋮ A \({C^\infty}\) closing lemma for Hamiltonian diffeomorphisms of closed surfaces ⋮ Diffeomorphisms with global dominated splittings cannot be minimal ⋮ Prime ends rotation numbers and periodic points ⋮ Homoclinic orbits for area preserving diffeomorphisms of surfaces

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