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Discreteness and Continuity in Problems of Chaotic Dynamics
 
Michael Blank Russian Academy of Sciences, Moscow
Front Cover for Discreteness and Continuity in Problems of Chaotic Dynamics
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Hardcover ISBN: 978-0-8218-0370-7
Product Code: MMONO/161
List Price: $97.00
MAA Member Price: $87.30
AMS Member Price: $77.60
Electronic ISBN: 978-1-4704-4576-8
Product Code: MMONO/161.E
List Price: $91.00
MAA Member Price: $81.90
AMS Member Price: $72.80
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Front Cover for Discreteness and Continuity in Problems of Chaotic Dynamics
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  • Front Cover for Discreteness and Continuity in Problems of Chaotic Dynamics
  • Back Cover for Discreteness and Continuity in Problems of Chaotic Dynamics
Discreteness and Continuity in Problems of Chaotic Dynamics
Michael Blank Russian Academy of Sciences, Moscow
Available Formats:
Hardcover ISBN:  978-0-8218-0370-7
Product Code:  MMONO/161
List Price: $97.00
MAA Member Price: $87.30
AMS Member Price: $77.60
Electronic ISBN:  978-1-4704-4576-8
Product Code:  MMONO/161.E
List Price: $91.00
MAA Member Price: $81.90
AMS Member Price: $72.80
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $145.50
MAA Member Price: $130.95
AMS Member Price: $116.40
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 1611997; 161 pp
    MSC: Primary 28; Secondary 58;

    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.

    Readership

    Graduate students and research mathematicians interested in ergodic theory, dynamical systems, and applications.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Introduction
    • Chapter 2. Operator approach in chaotic dynamics
    • Chapter 3. Random perturbations of dynamical systems
    • Chapter 4. Weakly coupled dynamical systems
    • Chapter 5. Phase space discretization in dynamical systems
    • Chapter 6. Ergodic properties of some methods for numerical modeling of chaotic dynamics
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Volume: 1611997; 161 pp
MSC: Primary 28; Secondary 58;

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.

Readership

Graduate students and research mathematicians interested in ergodic theory, dynamical systems, and applications.

  • Chapters
  • Chapter 1. Introduction
  • Chapter 2. Operator approach in chaotic dynamics
  • Chapter 3. Random perturbations of dynamical systems
  • Chapter 4. Weakly coupled dynamical systems
  • Chapter 5. Phase space discretization in dynamical systems
  • Chapter 6. Ergodic properties of some methods for numerical modeling of chaotic dynamics
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