Nonuniformly hyperbolic systems arising from coupling of chaotic and gradient-like systems
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Publication:2196696
DOI10.3934/dcds.2020257zbMath1456.37029arXiv2005.02199OpenAlexW3022361858MaRDI QIDQ2196696
Publication date: 3 September 2020
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.02199
Dynamical systems involving maps of the circle (37E10) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)
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Cites Work
- Mean-field coupling of identical expanding circle maps
- On the limiting Markov process of energy exchanges in a rarely interacting ball-piston gas
- The dynamics of the Hénon map
- Heterogeneously coupled maps: hub dynamics and emergence across connectivity layers
- Nonequilibrium energy profiles for a class of 1-D models
- Uniqueness of the SRB measure for piecewise expanding weakly coupled map lattices in any dimension
- Map lattices coupled by collisions
- Stochastically stable globally coupled maps with bistable thermodynamic limit
- The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
- The spectrum of weakly coupled map lattices
- Ergodic systems of \(n\) balls in a billiard table
- Structural stability of \(C^1\) diffeomorphisms
- Statistical properties of dynamical systems with some hyperbolicity
- Sinai-Bowen-Ruelle measures for certain Hénon maps
- From invariant curves to strange attractors
- What are SRB measures, and which dynamical systems have them?
- A \(C^1\)-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks of sources
- On dynamics of mostly contracting diffeomorphisms
- Partial hyperbolicity and robust transitivity
- Transitive partially hyperbolic diffeomorphisms on 3-manifolds
- High temperature expansions and dynamical systems
- SRB measures for partially hyperbolic systems whose central direction is mostly contracting
- Propriétés ergodiques des mesures de Sinaï
- Computer-assisted proof of loss of ergodicity by symmetry breaking in expanding coupled maps
- Toward a theory of rank one attractors
- On the dynamics of dominated splitting
- Complex networks: structure and dynamics
- Dynamics of coupled map lattices and of related spatially extended systems. Lectures delivered at the school-forum CML 2004, Paris, France, June 21 -- July 2, 2004.
- Geometric and measure-theoretical structures of maps with mostly contracting center
- Some open sets of nonuniformly hyperbolic cocycles
- The Lyapunov dimension of a nowhere differentiable attracting torus
- A proof of the estimation from below in Pesin's entropy formula
- Bowen-Ruelle Measures for Certain Piecewise Hyperbolic Maps
- Transfer operators for coupled map lattices
- Coupled map networks
- Gibbs measures for partially hyperbolic attractors
- Regular Points for Ergodic Sinai Measures
- A Measure Associated with Axiom-A Attractors
- Ergodic theory of chaos and strange attractors
- Regularity of invariant graphs over hyperbolic systems
- A note on circle maps driven by strongly expanding endomorphisms on
- Spacetime chaos in coupled map lattices
- Ergodic Attractors
- Circle diffeomorphisms forced by expanding circle maps
- Transfer operators for coupled analytic maps
- Strange Attractors for Periodically Forced Parabolic Equations
- Global dominated splittings and the $C^1$ Newhouse phenomenon
- GIBBS MEASURES IN ERGODIC THEORY
- Some Large Deviation Results for Dynamical Systems
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- Invariant manifolds
- Absolutely singular dynamical foliations
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