Distortion of S-unimodal maps
From MaRDI portal
Publication:920450
DOI10.2307/1971501zbMath0708.58007OpenAlexW2009131483WikidataQ59541788 ScholiaQ59541788MaRDI QIDQ920450
John Guckenheimer, Stewart D. Johnson
Publication date: 1990
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1971501
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Differential inequalities involving functions of a single real variable (34A40) Low-dimensional dynamical systems (37E99) Stability theory for smooth dynamical systems (37C75)
Related Items
Induced maps, Markov extensions and invariant measures in one-dimensional dynamics, Yet another induction scheme for non-uniformly expanding transformations, The dynamics of complex box mappings, Dynamics of quadratic polynomials: complex bounds for real maps, Absorbing cantor sets and trapping structures, Exponents, attractors and Hopf decompositions for interval maps, Distortion results and invariant Cantor sets of unimodal maps, Dynamics of quadratic polynomials. I, II, Metric properties of non-renormalizableS-unimodal maps. Part I: Induced expansion and invariant measures, Metric properties of non-renormalizable S-unimodal maps: II. Quasisymmetric conjugacy classes, Fibonacci maps re(aℓ)visited, Teichmüller Space of Fibonacci Maps, Topological conditions for the existence of absorbing Cantor sets, Iterations of holomorphic Collet-Eckmann maps: conformal and invariant measures. Appendix: On non-renormalizable quadratic polynomials, The structure of symmetric attractors, Spectral theory, zeta functions and the distribution of periodic points for Collet-Eckmann maps, Decay of geometry for Fibonacci critical covering maps of the circle, On the finiteness of attractors for one-dimensional maps with discontinuities, Induced expansion for quadratic polynomials, The entropy profile -- a function describing statistical dependences, Unnamed Item
