On the abundance of chaotic behavior for generic one-parameter families of maps

DOI10.1007/BF02106794zbMath0901.58026OpenAlexW2323351773MaRDI QIDQ4332305

Zhi Ming Zheng

Publication date: 26 November 1998

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02106794

zbMATH Keywords

chaosabsolutely continuous probability measureregular one-parameter family of maps

Mathematics Subject Classification ID

Ergodic theory (37A99) Low-dimensional dynamical systems (37E99) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (1)

Topological and metrical conditions for Collet-Eckmann unimodal maps

Cites Work

• Unnamed Item
• The dynamics of the Hénon map
• Hyperbolicity and invariant measures for general \(C^ 2\) interval maps satisfying the Misiurewicz condition
• On iterations of \(1-\alpha x^2\) on \((-1,1)\)
• On the abundance of aperiodic behaviour for maps on the interval
• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
• Positive Lyapunov exponents in families of one dimensional dynamical systems
• Positive Lyapunov exponent for generic one-parameter families of unimodal maps

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