A problem for the 21st/22nd century

DOI10.4171/NEWS/114/5zbMath1436.37044OpenAlexW2989875068WikidataQ126771115 ScholiaQ126771115MaRDI QIDQ2282930

Sylvain Crovisier, Samuel Senti

Publication date: 20 December 2019

Published in: European Mathematical Society Newsletter (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/news/114/5

zbMATH Keywords

hyperbolic horseshoenonuniform hyperbolic map

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Orbit growth in dynamical systems (37C35) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (3)

On the norm equivalence of Lyapunov exponents for regularizing linear evolution equations ⋮ Exponential mixing for random dynamical systems and an example of Pierrehumbert ⋮ Lower bounds on the Lyapunov exponents of stochastic differential equations

Cites Work

• The dynamics of the Hénon map
• Non-uniformly hyperbolic horseshoes arising from bifurcations of Poincaré heteroclinic cycles
• The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
• Sinai-Bowen-Ruelle measures for certain Hénon maps
• Positive measure sets of ergodic rational maps
• Tangences homoclines stables pour des ensembles hyperboliques de grande dimension fractale
• Solution of the basin problem for Hénon-like attractors
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