Attractors and time averages for random maps

DOI10.1016/S0294-1449(00)00112-8zbMath0974.37036arXivmath/0607433OpenAlexW2059271783WikidataQ127580249 ScholiaQ127580249MaRDI QIDQ1573250

Vítor Araújo

Publication date: 18 December 2001

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607433

zbMATH Keywords

ergodicityrandom systemstime averages

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcation theory for random and stochastic dynamical systems (37H20)

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Cites Work

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• How often do simple dynamical processes have infinitely many coexisting sinks?
• Dynamics: a probabilistic and geometric perspective
• The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
• Contributions to the stability conjecture
• High dimension diffeomorphisms displaying infinitely many periodic attractors
• SRB measures for partially hyperbolic systems whose central direction is mostly expanding
• Stably ergodic diffeomorphisms
• SRB measures for partially hyperbolic systems whose central direction is mostly contracting
• Diffeomorphisms with infinitely many sinks
• Partially hyperbolic fixed points
• Diffeomorphisms with infinitely many strange attractors
• Gibbs measures for partially hyperbolic attractors
• Random iterations of rational functions
• Heteroclinic attractors: Time averages and moduli of topological conjugacy
• Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits
• Persistence of homoclinic tangencies in higher dimensions