Existence and genericity problems for dynamical systems with nonzero Lyapunov exponents
From MaRDI portal
Publication:655278
DOI10.1134/S1560354707050024zbMath1229.37021MaRDI QIDQ655278
Publication date: 3 January 2012
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)
Related Items (8)
Chaos control for the plates subjected to subsonic flow ⋮ Topological entropy on subsets for fixed-point free flows ⋮ Positive exponents for random products of conservative surface diffeomorphisms and some skew products ⋮ The 𝐶¹ density of nonuniform hyperbolicity in 𝐶^{𝑟} conservative diffeomorphisms ⋮ Multifractal analysis and phase transitions for hyperbolic and parabolic horseshoes ⋮ Binomial trees as dynamical systems ⋮ Fractal dimensions for repellers of maps with holes ⋮ Center Lyapunov exponents in partially hyperbolic dynamics
Cites Work
- The dynamics of the Hénon map
- The Lyapunov exponents of generic volume-preserving and symplectic maps
- Existence of invariant tori in three-dimensional measure-preserving mappings
- A criterion for ergodicity for non-uniformly hyperbolic diffeomorphisms
- On the ergodicity of partially hyperbolic systems
- Ergodic theory of differentiable dynamical systems
- Bernoulli diffeomorphisms on surfaces
- Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
- Characteristic exponents and invariant manifolds in Hilbert space
- Example of a nonergodic flow with nonzero characteristic numbers
- Sinai-Bowen-Ruelle measures for certain Hénon maps
- From invariant curves to strange attractors
- Partial hyperbolicity, Lyapunov exponents and stable ergodicity
- On dynamics of mostly contracting diffeomorphisms
- Uniform (projective) hyperbolicity or no hyperbolicity: a dichotomy for generic conservative maps
- Lectures on partial hyperbolicity and stable ergodicity
- Abundance of stable ergodicity
- Pathological foliations and removable zero exponents
- Dynamics on K3 surfaces: Salem numbers and Siegel disks
- Examples of conservative diffeomorphisms of the two-dimensional torus with coexistence of elliptic and stochastic behaviour
- Existence of invariant tori in volume-preserving diffeomorphisms
- CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
- FAMILIES OF INVARIANT MANIFOLDS CORRESPONDING TO NONZERO CHARACTERISTIC EXPONENTS
- Strange attractors in higher dimensions
- Removing zero Lyapunov exponents
- Ergodic theory of chaos and strange attractors
- Every compact manifold carries a completely hyperbolic diffeomorphism
- Ergodic Attractors
- Genericity of zero Lyapunov exponents
- Parameter exclusions in Hénon-like systems
- Strange attractors with one direction of instability
- 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
This page was built for publication: Existence and genericity problems for dynamical systems with nonzero Lyapunov exponents
