Discreteness and Continuity in Problems of Chaotic Dynamics
1997
American Mathematical Society (Verlag)
978-0-8218-0370-7 (ISBN)
American Mathematical Society (Verlag)
978-0-8218-0370-7 (ISBN)
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Presents the study of ergodic properties of so-called chaotic dynamical systems. This book focuses on the interplay between deterministic and quasi-stochastic behavior in chaotic dynamics and between properties of continuous dynamical systems and those of their discrete approximations.
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 behavior 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 modelling of chaotic dynamics.
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 behavior 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 modelling of chaotic dynamics.
Introduction (Chapter 1) Operator approach in chaotic dynamics (Chapter 2) Random perturbations of dynamical systems (Chapter 3) Weakly coupled dynamical systems (Chapter 4) Phase space discretization in dyanmical systems (Chapter 5) Ergodic properties of some methods for numerical modeling of chaotic dynamics (Chapter 6) References Index.
| Erscheint lt. Verlag | 30.4.1997 |
|---|---|
| Reihe/Serie | Translations of Mathematical Monographs |
| Zusatzinfo | Illustrations |
| Verlagsort | Providence |
| Sprache | englisch |
| Gewicht | 539 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
| ISBN-10 | 0-8218-0370-0 / 0821803700 |
| ISBN-13 | 978-0-8218-0370-7 / 9780821803707 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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