Homoclinic orbits for area preserving diffeomorphisms of surfaces
DOI10.1017/etds.2021.40zbMath1494.37025arXiv1912.06792OpenAlexW3158301842WikidataQ114118836 ScholiaQ114118836MaRDI QIDQ5027314
Patrice Le Calvez, Martín Sambarino
Publication date: 4 February 2022
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.06792
periodic pointgenusstable manifoldunstable manifoldorientable surfacespositive topological entropyhyperbolic pointlow-dimensional dynamicselliptic pointsmooth dynamicshomoclinic intersectionsHamiltonian dynamic
Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Generic properties, structural stability of dynamical systems (37C20) 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) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)
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