Local geometry and dynamical behavior on folded basic sets
From MaRDI portal
Publication:625532
DOI10.1007/S10955-010-0097-3zbMath1236.37020OpenAlexW2067923734WikidataQ126210874 ScholiaQ126210874MaRDI QIDQ625532
Publication date: 17 February 2011
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10955-010-0097-3
invariant manifolds1-sided and 2-sided Bernoulli systemsendomorphisms on folded basic sets of saddle typehyperbolic attractors/repellersstable/unstable dimensions
Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dimension theory of smooth dynamical systems (37C45)
Related Items (6)
Equilibrium measures on saddle sets of holomorphic maps on \(\mathbb{P }^2\) ⋮ Rank one chaos in periodically kicked Lotka-Volterra predator-prey system with time delay ⋮ Preimage entropy and stable entropy on subsets ⋮ Rank one strange attractors in periodically kicked Lorenz system with time-delay ⋮ Skew product Smale endomorphisms over countable shifts of finite type ⋮ Smale endomorphisms over graph-directed Markov systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unstable directions and fractal dimension for skew products with overlaps in fibers
- Unstable manifolds and Hölder structures associated with noninvertible maps
- The thermodynamic formalism for expanding maps
- Invariant measures satisfying an equality relating entropy, folding entropy and negative Lyapunov exponents
- Positivity of entropy production in nonequilibrium statistical mechanics
- Uniform endomorphisms which are isomorphic to a Bernoulli shift
- Hausdorff dimension for horseshoes
- Relations between stable dimension and the preimage counting function on basic sets with overlaps
- Inverse Pressure Estimates and the Independence of Stable Dimension for Non-Invertible Maps
- Metric properties of some fractal sets and applications of inverse pressure
- Strange attractors and chaotic motions of dynamical systems
- Ergodic theory for axiom A endomorphisms
- Ergodic theory of chaos and strange attractors
- LECTURES ON THE ENTROPY THEORY OF MEASURE-PRESERVING TRANSFORMATIONS
- Endomorphisms of a Lebesgue space
- GIBBS MEASURES IN ERGODIC THEORY
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
This page was built for publication: Local geometry and dynamical behavior on folded basic sets
