The weak Smale horseshoe and mean hyperbolicity

DOI10.1016/j.jde.2021.07.020zbMath1477.37038OpenAlexW3184354417MaRDI QIDQ2045846

Jiahui Feng, Yong Li

Publication date: 16 August 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2021.07.020

zbMATH Keywords

symbolic dynamicshigh-dimensional chaosmean hyperbolicityweakly averaged horseshoe

Mathematics Subject Classification ID

Dynamical systems with hyperbolic orbits and sets (37D05) Symbolic dynamics (37B10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-uniformly hyperbolic flows and shadowing
• Nonuniform hyperbolicity for \(C^{1}\)-generic diffeomorphisms
• Global bifurcations and chaos. Analytical methods
• Chaotic solutions of systems with almost periodic forcing
• Exponential dichotomies and transversal homoclinic points
• Existence and roughness of the exponential dichotomy for skew-product semiflow in Banach spaces
• Topological horseshoes
• Lyapunov exponents, periodic orbits, and horseshoes for semiflows on Hilbert spaces
• Chaos in differential equations driven by a nonautonomous force
• Melnikov Transforms, Bernoulli Bundles, and Almost Periodic Perturbations
• FAMILIES OF INVARIANT MANIFOLDS CORRESPONDING TO NONZERO CHARACTERISTIC EXPONENTS
• Homoclinical structures in nonautonomous systems: Nonautonomous chaos
• Entropy, Chaos, and Weak Horseshoe for Infinite‐Dimensional Random Dynamical Systems
• Differentiable dynamical systems
• ON A POINCARÉ-BIRKHOFF PROBLEM