Dynamics of the universal area-preserving map associated with period doubling: hyperbolic sets

DOI10.1088/0951-7715/22/10/010zbMath1190.37045arXiv0905.1390OpenAlexW3098311982MaRDI QIDQ3183668

Denis G. Gaidashev, Tomas Johnson

Publication date: 20 October 2009

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.1390

zbMATH Keywords

renormalizationhyperbolic setsheteroclinic tangle

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical systems with hyperbolic orbits and sets (37D05) Universality and renormalization of dynamical systems (37E20) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Renormalization of holomorphic dynamical systems (37F25)

Related Items (8)

Asymptotic scaling and universality for skew products with factors in SL(2,) ⋮ On the invariant Cantor sets of period doubling type of infinitely renormalizable area-preserving maps ⋮ PERIOD DOUBLING RENORMALIZATION FOR AREA-PRESERVING MAPS AND MILD COMPUTER ASSISTANCE IN CONTRACTION MAPPING PRINCIPLE ⋮ A numerical study of infinitely renormalizable area-preserving maps ⋮ Period doubling in area-preserving maps: an associated one-dimensional problem ⋮ Period-doubling cascades galore ⋮ Rigidity for infinitely renormalizable area-preserving maps ⋮ Spectral properties of renormalization for area-preserving maps

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