Hyperbolicity of the invariant sets for the real polynomial maps
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Publication:2393252
DOI10.1016/J.CHAOS.2011.12.016zbMath1297.37012arXiv1012.4997OpenAlexW2035678129MaRDI QIDQ2393252
Publication date: 7 August 2013
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1012.4997
Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamical systems with hyperbolic orbits and sets (37D05) Iteration of real functions in one variable (26A18) Dynamical systems involving maps of the interval (37E05)
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Cites Work
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- Sensitive dependence to initial conditions for one dimensional maps
- Absolutely continuous measures for certain maps of an interval
- Complex dynamics
- Hyperbolicity of the invariant set for the logistic map with \(\mu>4\).
- Chaos, Cantor Sets, and Hyperbolicity for the Logistic Maps
- Escape from the Unit Interval Under the Transformation x ↦λx(1 - x)
- An Elementary Proof for Hyperbolicity and Chaos of the Logistic Maps
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