The weak Smale horseshoe and mean hyperbolicity
type: Item
instance of: scholarly article
title: The weak Smale horseshoe and mean hyperbolicity
zbMATH Open document ID: 1477.37038
author: Jiahui Feng
author: Yong Li
published in: Journal of Differential Equations
publication date: 2021-08-16T00:00:00Z
Mathematics Subject Classification ID: 37D05
Mathematics Subject Classification ID: 37D25
Mathematics Subject Classification ID: 37B10
zbMATH DE Number: 7382020
zbMATH Keywords: weakly averaged horseshoe
zbMATH Keywords: mean hyperbolicity
zbMATH Keywords: symbolic dynamics
zbMATH Keywords: high-dimensional chaos
MaRDI profile type: Publication
full work available at URL: j.jde.2021.07.020
OpenAlex ID: W3184354417
cites work: Nonuniform hyperbolicity for \(C^{1}\)-generic diffeomorphisms
cites work: Q4847944
cites work: Existence and roughness of the exponential dichotomy for skew-product semiflow in Banach spaces
cites work: Entropy, Chaos, and Weak Horseshoe for Infinite‐Dimensional Random Dynamical Systems
cites work: Topological horseshoes
cites work: Homoclinical structures in nonautonomous systems: Nonautonomous chaos
cites work: Lyapunov exponents, periodic orbits, and horseshoes for semiflows on Hilbert spaces
cites work: Chaos in differential equations driven by a nonautonomous force
cites work: Melnikov Transforms, Bernoulli Bundles, and Almost Periodic Perturbations
cites work: Exponential dichotomies and transversal homoclinic points
cites work: Q3831754
cites work: Q4114544
cites work: FAMILIES OF INVARIANT MANIFOLDS CORRESPONDING TO NONZERO CHARACTERISTIC EXPONENTS
cites work: Q3134479
cites work: Chaotic solutions of systems with almost periodic forcing
cites work: ON A POINCARÉ-BIRKHOFF PROBLEM
cites work: Differentiable dynamical systems
cites work: Non-uniformly hyperbolic flows and shadowing
cites work: Global bifurcations and chaos. Analytical methods
DOI: 10.1016/J.JDE.2021.07.020
Recommended article: Smale's mean value conjecture and the hyperbolic metric
Recommended article: Weak hyperbolicity and many-dimensional analogues of Picard's theorem
Recommended article: On the Smale theorem in weak shape theory
Recommended article: Horseshoes for \(\mathcal{C}^{1+\alpha}\) mappings with hyperbolic measures
Recommended article: Q3818566
Recommended article: Weakly asymptotically hyperbolic manifolds
Recommended article: Q3468355
Recommended article: Q3779006
Recommended article: Weakly hyperbolic manifolds
Recommended article: An estimate on the Hausdorff dimension of stable sets of non-uniformly hyperbolic horseshoes
description: scientific article; zbMATH DE number 7382020