Order of Appearance of Homoclinic Points for the Henon Map

DOI10.1143/PTP.116.1029zbMath1113.37023OpenAlexW2088307765MaRDI QIDQ3443089

Kiyotaka Tanikawa, Yoshihiro Yamaguchi

Publication date: 29 May 2007

Published in: Progress of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1143/ptp.116.1029

zbMATH Keywords

topological entropysymbol sequencestable and unstable manifoldssaddle-node bifurcationssymmetric periodic orbitshorseshoe mapcomplexity of the systemdynamical ordering

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Topological entropy (37B40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Symbolic dynamics (37B10)

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Markov shifts and topological entropy of families of homoclinic tangles

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