On some dynamical properties of S-unimodal maps on an interval

DOI10.4064/fm-126-1-27-43zbMath0608.58030OpenAlexW775762798MaRDI QIDQ3747385

Tomasz Nowicki

Publication date: 1985

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/211606

zbMATH Keywords

uniform hyperbolic structureglobal expandingS-unimodal maps of an intervalsensitivity on initial conditions

Mathematics Subject Classification ID

Topological dynamics (37B99) Local and nonlocal bifurcation theory for dynamical systems (37G99) Dynamical systems with hyperbolic behavior (37D99)

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Absolutely continuous invariant measures for \(C^ 2\) unimodal maps satisfying the Collet-Eckmann conditions, Hyperbolicity and invariant measures for general \(C^ 2\) interval maps satisfying the Misiurewicz condition, Lifting measures to Markov extensions, Spectral theory, zeta functions and the distribution of periodic points for Collet-Eckmann maps