Discreteness And Continuity In Problems Of Chaotic Dynamics

Download or read book Discreteness and Continuity in Problems of Chaotic Dynamics written by Michael L. Blank and published by American Mathematical Soc.. This book was released on 1997-01-01 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the study of ergodic properties of so-called chaotic dynamical systems. One of the central topics is the interplay between deterministic and quasi-stochastic behaviour in chaotic dynamics and between properties of continuous dynamical systems and those of their discrete approximations. Using simple examples, the author describes the main phenomena known in chaotic dynamical systems, studying topics such as the operator approach in chaotic dynamics, stochastic stability, and the so-called coupled systems. The last two chapters are devoted to problems of numerical modeling of chaotic dynamics.