Periodic attractors of perturbed one-dimensional maps

DOI10.1017/etds.2013.28zbMath1287.37017arXiv1303.4248OpenAlexW2151530585MaRDI QIDQ2873995

O. S. Kozlovski

Publication date: 28 January 2014

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4248

zbMATH Keywords

Schwarzian derivativeperiodic attractorsone-dimensional mapsross-ratio distortion

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems involving maps of the circle (37E10) Dynamical systems involving maps of the interval (37E05)

Cites Work

• Hyperbolicity, sinks and measure in one dimensional dynamics
• Julia-Fatou-Sullivan theory for real one-dimensional dynamics
• A structure theorem in one dimensional dynamics
• A C^r unimodal map with an arbitrary fast growth of the number of periodic points
• Stable Orbits and Bifurcation of Maps of the Interval
• Real bounds, ergodicity and negative Schwarzian for multimodal maps
• Getting rid of the negative Schwarzian derivative condition

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