Some Developments on Noisy Dynamical Systems

Some Developments on Noisy Dynamical Systems

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In this book we introduce some developments in one of the modern and important branches of mathematics which is called Noise Dynamical System or also called Random Dynamical System. First, we make some development in metric dynamical system and study some important concepts such as mixing, weakly mixing, ergodicity, transitivity and exactness metric dynamical system. And then we study the random dynamical systems (RDS's) and show how can we generate RDS from another RDS (or two RDS's). Furthermore, we state the definition of the random fixed point and random periodic point in RDS and proved so...