Random dynamical systems

Pullback attractor

In mathematics, the attractor of a random dynamical system may be loosely thought of as a set to which the system evolves after a long enough time. The basic idea is the same as for a deterministic dynamical system, but requires careful treatment because random dynamical systems are necessarily non-autonomous. This requires one to consider the notion of a pullback attractor or attractor in the pullback sense. (Wikipedia).

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Base flow (random dynamical systems) | Metric space | If and only if | Almost surely | Dynamical system | Separable space | Abuse of notation | Limit set | Probability space | Dimension | Hausdorff distance | Bounded set | Mathematics | Absorbing set (random dynamical systems) | Random compact set | Measurable function | Compact space | Random dynamical system | Autonomous system (mathematics)