Abundance of unimodal maps with dense critical orbit and prefixed critical orbit

DOI10.1007/BF02463759zbMath0959.37030MaRDI QIDQ1578233

Yonghao Cao, Lanya Wang

Publication date: 24 April 2001

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

unimodal mapdense critical orbit

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving maps of the interval (37E05)

Cites Work

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• The dynamics of the Hénon map
• On the concept of attractor
• On iterations of \(1-\alpha x^2\) on \((-1,1)\)
• Sensitive dependence to initial conditions for one dimensional maps
• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
• Abundance of strange attractors
• Wild Cantor attractors exist
• Measurable dynamics of $S$-unimodal maps of the interval
• The Fibonacci Unimodal Map

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