Stochastic stability versus localization in one-dimensional chaotic dynamical systems

DOI10.1088/0951-7715/10/1/006zbMath0907.58011arXivchao-dyn/9602011OpenAlexW1973734411MaRDI QIDQ3841268

Gerhard Keller, Michael L. Blank

Publication date: 4 March 1999

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9602011

zbMATH Keywords

stochastic stabilityrandom perturbationschaotic mapsUlam's conjectureMarkov random perturbationsone-dimensional chaotic dynamical systems

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theorems, spectral theory, Markov operators (37A30) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Ergodic theory (37A99) Low-dimensional dynamical systems (37E99) Dynamical systems with hyperbolic behavior (37D99)

Related Items (7)

Unnamed Item ⋮ Rare events, escape rates and quasistationarity: Some Exact formulae ⋮ Quadratic response and speed of convergence of invariant measures in the zero-noise limit ⋮ Existence, mixing and approximation of invariant densities for expanding maps on \(\mathbb{R}^r\) ⋮ Absolutely continuous S.R.B. measures for random Lasota-Yorke maps ⋮ Quenched stochastic stability for eventually expanding-on-average random interval map cocycles ⋮ On the enhancement of diffusion by chaos, escape rates and stochastic instability

This page was built for publication: Stochastic stability versus localization in one-dimensional chaotic dynamical systems