Dynamical profile of a class of rank-one attractors
From MaRDI portal
Publication:2842235
DOI10.1017/S014338571200020XzbMath1276.37011OpenAlexW2103414686MaRDI QIDQ2842235
Publication date: 13 August 2013
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s014338571200020x
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Ergodicity, mixing, rates of mixing (37A25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
Related Items
Large strange attractors in the unfolding of a heteroclinic attractor ⋮ Rank one chaos in periodically kicked Lotka-Volterra predator-prey system with time delay ⋮ Hausdorff dimension of chaotic attractors in a class of nonsmooth systems ⋮ Dynamics of the discrete-time Rosenzweig-MacArthur predator-prey system in the closed positively invariant set ⋮ Exponential decay of random correlations for random Anosov systems mixing on fibers ⋮ Comparing chaotic and random dynamical systems ⋮ Rank one strange attractors in periodically kicked Lorenz system with time-delay ⋮ The Many Facets of Chaos
Cites Work
- Unnamed Item
- The dynamics of the Hénon map
- Almost sure invariance principle for nonuniformly hyperbolic systems
- Nonuniformly expanding 1D maps
- On the basin problem for Hénon-like attractors
- Stretched exponential estimates on growth of the number of periodic points for prevalent diffeomorphisms. I
- On iterations of \(1-\alpha x^2\) on \((-1,1)\)
- The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
- Ergodic theory of differentiable dynamical systems
- Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
- Absolutely continuous measures for certain maps of an interval
- Statistical properties of dynamical systems with some hyperbolicity
- Recurrence times and rates of mixing
- Abundance of strange attractors
- Sinai-Bowen-Ruelle measures for certain Hénon maps
- Positive Lyapunov exponent for generic one-parameter families of unimodal maps
- From invariant curves to strange attractors
- Strange attractors in periodically-kicked limit cycles and Hopf bifurcations
- Generic diffeomorphisms with superexponential growth of number of periodic orbits
- Propriétés ergodiques des mesures de Sinaï
- Toward a theory of rank one attractors
- Limit theorems for locally perturbed planar Lorentz processes
- Recurrence properties of planar Lorentz process
- Statistics of closest return for some non-uniformly hyperbolic systems
- Positive Liapunov exponents and absolute continuity for maps of the interval
- Chaotic attractors of relaxation oscillators
- CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
- Strange attractors in higher dimensions
- Large deviations in non-uniformly hyperbolic dynamical systems
- Differentiable dynamical systems
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- Solution of the basin problem for Hénon-like attractors
- Strange attractors with one direction of instability