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Pathwise Stationar y Solutions and Random Per iodic Solutions of Random Dynamical Systems (SPDEs, Random Maps)
Pathwise Stationar y Solutions Random Per
2015/4/3
here are two fundamental concepts in deter ministic dynamical systems: fixed
point (equilibr ium point) and per iodic solutions. For stochastic dynamical systems, they correspond to fundamental ideas...
Lyapunov Exponents for Infinite Dimensional Random Dynamical Systems in a Banach Space
Random Dynamical Systems Lyapunov Exponents
2015/4/3
Metric Dynamical System
Let be a probability space.
Let be a metric dynamical system:
(i)
(ii)
(iii) preserves th...
“Superparamagnetic limit”: As magnetic devices become smaller
and smaller, the time for thermal activated switching might
become too short (shorter than desired data retention time).
Morse decomposition for random dynamical systems
Random dynamical system Morse decomposition random attractor
2011/10/18
It is well-known that Morse decomposition is very useful to study the inner structure of invariant sets for given dynamical systems. Recently, Morse decomposition is established for random dynamical s...