Lyapunov exponents and entropy for divergence-free Lipschitz vector fields

DOI10.1007/s40879-023-00611-6OpenAlexW4360980202MaRDI QIDQ2699560

Mário Bessa

Publication date: 19 April 2023

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-023-00611-6

zbMATH Keywords

Lyapunov exponentsmetric entropyvolume-preserving flowsLipschitz vector fields

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Entropy and other invariants (28D20) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Ordinary differential equations and systems on manifolds (34C40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniqueness of generating Hamiltonians for topological Hamiltonian flows
• Lipschitz perturbations of expansive systems
• Dense area-preserving homeomorphisms have zero Lyapunov exponents
• Dominated splitting and Pesin's entropy formula
• The Lyapunov exponents of generic volume-preserving and symplectic maps
• On almost reducible systems with almost periodic coefficients
• \(C^{1}\)-generic Pesin's entropy formula
• On the periodic orbits, shadowing and strong transitivity of continuous flows
• Stretching generic Pesin's entropy formula
• The flowbox theorem for divergence-free Lipschitz vector fields
• Topological entropy on subsets for fixed-point free flows
• On the entropy of conservative flows
• Fifty years of entropy in dynamics: 1958 -- 2007
• The group of Hamiltonian homeomorphisms and \(C^0\)-symplectic topology
• Directional upper derivatives and the chain rule formula for locally Lipschitz functions on Banach spaces
• Contributions to the geometric and ergodic theory of conservative flows
• On the uniqueness of generating Hamiltonian for continuous limits of Hamiltonians flows
• Errata to ‘A proof of Pesin's formula’
• An inequality for the entropy of differentiable maps
• A proof of Pesin's formula
• LYAPUNOV EXPONENTS ON METRIC SPACES
• Entropy of flows, revisited
• Lyapunov exponents for expansive homeomorphisms
• The Lyapunov exponents of generic zero divergence three-dimensional vector fields
• On the Volume Elements on a Manifold
• Generic Properties of Conservative Systems
• Ordinary Differential Equations

This page was built for publication: Lyapunov exponents and entropy for divergence-free Lipschitz vector fields