On stochastic perturbations of iterations of circle maps
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Publication:688170
DOI10.1016/0167-2789(93)90081-BzbMath0779.58022OpenAlexW2008872606MaRDI QIDQ688170
Publication date: 30 November 1993
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(93)90081-b
Topological dynamics (37B99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)
Related Items (10)
Necessary and sufficient conditions for stable synchronization in random dynamical systems ⋮ Synchronisation of almost all trajectories of a random dynamical system ⋮ Random walks on \(\mathrm{Homeo}(S^1)\) ⋮ Circle maps driven by a class of uniformly distributed sequences on T$\mathbb {T}$ ⋮ The Reliability of the Stochastic Active Rotator ⋮ Randomization of Sharkovsky-type results on the circle ⋮ Climate dynamics and fluid mechanics: Natural variability and related uncertainties ⋮ The wind-driven ocean circulation: applying dynamical systems theory to a climate problem ⋮ Synchronization in minimal iterated function systems on compact manifolds ⋮ Contraction of orbits in random dynamical systems on the circle
Cites Work
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- Chaotic dynamics of a bouncing ball
- Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
- A limit theorem for Markov chains in compact metric spaces with applications to products of random matrices
- Extremal exponents of random dynamical systems do not vanish
- Équilibre statistique pour les produits de difféomorphismes aléatoires indépendants. (Statistical equilibrium for products of independent random diffeomorphisms)
- Random composing of mappings, small stochastic perturbations and attractors
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