The essential coexistence phenomenon in Hamiltonian dynamics

DOI10.1017/etds.2021.13OpenAlexW2912366536WikidataQ114118984 ScholiaQ114118984MaRDI QIDQ5021952

Jian-Yu Chen, Huyi Hu, Ke Zhang, Ya. B. Pesin

Publication date: 17 January 2022

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.07713

zbMATH Keywords

Lyapunov exponentsHamiltonian flowsBernoulli mapsessential coexistence

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Related Items (1)

Flexibility of sections of nearly integrable Hamiltonian systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of invariant tori in three-dimensional measure-preserving mappings
• Bernoulli diffeomorphisms on surfaces
• On essential coexistence of zero and nonzero Lyapunov exponents
• A volume preserving diffeomorphism with essential coexistence of zero and nonzero Lyapunov exponents
• On Herman's positive entropy conjecture
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• A volume preserving flow with essential coexistence of zero and non-zero Lyapunov exponents
• Diffeomorphisms and Volume-Preserving Embeddings of Noncompact Manifolds
• The essential coexistence phenomenon in dynamics

This page was built for publication: The essential coexistence phenomenon in Hamiltonian dynamics