Period-multiplying cascades for diffeomorphisms of the disc

DOI10.1017/S0305004100072649zbMath0814.54014OpenAlexW2087492142MaRDI QIDQ4314727

Jean-Marc Gambaudo, John Guaschi, Toby Hall

Publication date: 20 June 1995

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

Full work available at URL: https://doi.org/10.1017/s0305004100072649

zbMATH Keywords

period doubling bifurcationpositive entropybraid typecomplete zero-entropydiffeomorphism of the disc

Mathematics Subject Classification ID

Entropy in general topology (54C70) Low-dimensional dynamical systems (37E99)

Related Items (1)

Nielsen-Thurston reducibility and renormalization

Cites Work

• Generalizations of a theorem of Šarkovskii on orbits of continuous real-valued functions
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• On the geometry and dynamics of diffeomorphisms of surfaces
• The Periodic Orbits and Entropy of Certain Maps of the Unit Interval
• A Minimal Positive Entropy Homeomorphism of the 2-Torus
• Seifert Fibre Spaces and Braid Groups
• Simple Periodic Orbits of Mappings of the Interval
• A Classification of Braid Types for Diffeomorphisms of Surfaces of Genus Zero with Topological Entropy Zero

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