Attractors via random perturbations

DOI10.1007/BF01217733zbMath0702.58041MaRDI QIDQ915223

Yuri Kifer

Publication date: 1989

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

attractorsdynamical systemsinvariant measuresrandom perturbations

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Ergodic theory (37A99)

Related Items (6)

Random attractor and random exponential attractor for stochastic non-autonomous damped cubic wave equation with linear multiplicative white noise ⋮ Uncertain dynamical systems defined by pseudomeasures ⋮ Quasi-stationary distributions for randomly perturbed dynamical systems ⋮ Quasipotentials for simple noisy maps with complicated dynamics ⋮ Stochastic resonance in chaotic systems ⋮ Pseudo-orbits, stationary measures and metastability

Cites Work

• Small random perturbations of dynamical systems and the definition of attractors
• A discrete-time version of the Wentzell-Freidlin theory
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