Dynamical complexity of Anosov systems driven by a quasi-periodic force

DOI10.1007/S11425-023-2207-XMaRDI QIDQ6661774

Publication date: 13 January 2025

Published in: Science China. Mathematics (Search for Journal in Brave)

entropy cohomological equation random periodic orbit random horseshoe Anosov system on fibers random Anosov systems random Bousch-Mañé cohomology lemma random Livšic theorem

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Cites Work

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Livšic theorem for low-dimensional diffeomorphism cocycles
SRB measures for a class of partially hyperbolic attractors in Hilbert spaces
The Mañé-Conze-Guivarc'h lemma for amphidynamical systems
Smooth dependence on parameters of solutions to cohomology equations over Anosov systems with applications to cohomology equations on diffeomorphism groups
Lyapunov exponents, periodic orbits and horseshoes for mappings of Hilbert spaces
Chaotic behavior in differential equations driven by a Brownian motion
Livšic theorem for matrix cocycles
Random periodic solutions of random dynamical systems
Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
Random perturbations of Axiom A basic sets
The fish has no bones
Cohomology of dynamical systems and rigidity of partially hyperbolic actions of higher-rank lattices
Cocycles' stability for partially hyperbolic systems
Cohomological inequalities for finite topological Markov chains
Livšic theorem for diffeomorphism cocycles
A local variational relation and applications
Independence in topological and \(C^*\)-dynamics
Measurable selections of extrema
Lyapunov minimizing measures for expanding maps of the circle
Lyapunov exponents, periodic orbits, and horseshoes for semiflows on Hilbert spaces
Chaos in differential equations driven by a nonautonomous force
Livšic theorems for non-commutative groups including diffeomorphism groups and results on the existence of conformal structures for Anosov systems
On the minimizing measures of Lagrangian dynamical systems
Generic properties and problems of minimizing measures of Lagrangian systems
PERIODICITY AND SHARKOVSKY'S THEOREM FOR RANDOM DYNAMICAL SYSTEMS
A Livšic type theorem for germs of analytic diffeomorphisms
Ergodic optimization in dynamical systems
Entropy, Chaos, and Weak Horseshoe for Infinite‐Dimensional Random Dynamical Systems
The cohomological equation for partially hyperbolic diffeomorphisms
Entropy for Group Endomorphisms and Homogeneous Spaces
Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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