Discreteness and Continuity in Problems of Chaotic Dynamics
Michael L. Blank
Jan 1997 · Translations of Mathematical Monographs Book 161 · American Mathematical Soc.
Ebook
161
Pages
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About this ebook
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.
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