Lyapunov exponents for random perturbations of coupled standard maps

DOI10.1007/s00220-021-04256-yOpenAlexW3211940679MaRDI QIDQ2070856

Alex Blumenthal, Yun Yang, Jinxin Xue

Publication date: 24 January 2022

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.10626

zbMATH Keywords

Lyapunov exponentsrandom perturbationsstrong hyperbolicityvolume-preserving systems

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems with hyperbolic orbits and sets (37D05) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (1)

Past, current and future trends and challenges in non-deterministic fracture mechanics: a review

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lyapunov exponents for random perturbations of some area-preserving maps including the standard map
• On stochastic sea of the standard map
• Plenty of elliptic islands for the standard family of area preserving maps
• Random products of standard maps
• Non-uniformly hyperbolic diffeomorphisms derived from the standard map
• On Herman's positive entropy conjecture
• Mathematical theory of Lyapunov exponents
• What are Lyapunov exponents, and why are they interesting?
• Lyapunov indices of a product of random matrices
• Lyapunov modes in extended systems
• Internal Arnold diffusion and chaos thresholds in coupled symplectic maps
• On Products of Random Matrices and Operators
• Noncommuting Random Products
• Existence of noise induced order, a computer aided proof
• On Jordan angles and the triangle inequality in Grassmann manifolds

This page was built for publication: Lyapunov exponents for random perturbations of coupled standard maps