Local critical perturbations of unimodal maps

DOI10.1007/s00220-008-0717-9zbMath1173.37039OpenAlexW2064395832MaRDI QIDQ1028575

Michał Misiurewicz, Alexander M. Blokh

Publication date: 6 July 2009

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-008-0717-9

zbMATH Keywords

structural stabilityinterval mapsgeneralized Fatou conjecture

Mathematics Subject Classification ID

Generic properties, structural stability of dynamical systems (37C20) Dynamical systems involving maps of the interval (37E05)

Related Items

Decay of geometry for unimodal maps: the \(C^{2}\) case

Cites Work

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• Collet-Eckmann maps are unstable
• Axiom A maps are dense in the space of unimodal maps in the \(C^k\) topology
• Bounds for maps of an interval with one critical point of inflection type. II
• A structure theorem in one dimensional dynamics
• Metric attractors for smooth unimodal maps
• Density of hyperbolicity in dimension one
• Decay of geometry for unimodal maps: an elementary proof
• Distortion results and invariant Cantor sets of unimodal maps