Topological entropy of standard type monotone twist maps
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Publication:4896186
DOI10.1090/S0002-9947-96-01728-XzbMath0945.37002MaRDI QIDQ4896186
Publication date: 9 October 2000
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
variational principlesinvariant measuresLyapunov exponentstopological entropyergodic theoryhyperbolic setsmonotone twist maps
Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Ergodic theory (37A99) One-parameter continuous families of measure-preserving transformations (28D10)
Related Items
On cyclicity-one elliptic islands of the standard map, Random products of standard maps, The nonmonotonic twist maps and basic hyperbolic sets
Cites Work
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- Chaotic trajectories in the standard map. The concept of anti- integrability
- Amount of rotation about a point and the Morse index
- Percival variational principle for invariant measures and commensurate- incommensurate phase transitions in one-dimensional chains
- Continuity properties of entropy
- Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
- Equivalence of uniform hyperbolicity for symplectic twist maps and phonon gap for Frenkel-Kontorova models
- Isospectral deformations of random Jacobi operators
- The ergodic theory of axiom A flows
- Ergodic theory on compact spaces
- Proof of the Poincaré-Birkhoff fixed point theorem
- Expansiveness, hyperbolicity and Hausdorff dimension
- Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
- Anti-integrability in dynamical and variational problems
- Plenty of elliptic islands for the standard family of area preserving maps
- Iteration of the coupled map lattice construction
- On isomorphism of weak Bernoulli transformations
- Transversal homoclinic points of a class of conservative diffeomorphisms
- Stable and Random Motions in Dynamical Systems
- Dynamical properties of plane polynomial automorphisms
- Monotone recurrence relations, their Birkhoff orbits and topological entropy
- On the Prevalence of Horseshoes
