Infinitely renormalizable diffeomorphisms of the disk at the boundary of chaos

DOI10.1090/S0002-9939-98-03945-8zbMath0891.58026OpenAlexW1565411856MaRDI QIDQ4372756

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Publication date: 16 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-03945-8

zbMATH Keywords

period doublingpositive topological entropyinfinitely renormalizable maps

Mathematics Subject Classification ID

Entropy in general topology (54C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (1)

Renormalization in the Hénon family. I: Universality but non-rigidity

Cites Work

• Self-similar constructions in smooth dynamics: Rigidity, smoothness and dimension
• The periodic points of maps of the disk and the interval
• Quantitative universality for a class of nonlinear transformations
• Henon-like maps with strange attractors: there exist C^∞Kupka-Smale diffeomorphisms on S²with neither sinks nor sources
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