A numerical study of infinitely renormalizable area-preserving maps

DOI10.1080/14689367.2012.673559zbMath1255.37016arXiv1107.3424OpenAlexW3098005432MaRDI QIDQ4648495

Tomas Johnson, Denis G. Gaidashev

Publication date: 9 November 2012

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.3424

zbMATH Keywords

rigidityrenormalizationarea-preserving mapsco-cycles

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Universality and renormalization of dynamical systems (37E20) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (2)

Connecting Orbits for Compact Infinite Dimensional Maps: Computer Assisted Proofs of Existence ⋮ Fourier-Taylor approximation of unstable manifolds for compact maps: numerical implementation and computer-assisted error bounds

Cites Work

• Universal behaviour in families of area-preserving maps
• Renormalization group analysis of bifurcations in area-preserving maps
• The universal metric properties of nonlinear transformations
• Quantitative universality for a class of nonlinear transformations
• Renormalization in the Hénon family. I: Universality but non-rigidity
• No elliptic islands for the universal area-preserving map
• Dynamics of the universal area-preserving map associated with period doubling: hyperbolic sets
• Rigidity for infinitely renormalizable area-preserving maps

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