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Lectures on Chaotic Dynamical Systems
 
Valentin Afraimovich San Luis Potosi State University, San Luis Potosi, Mexico
Sze-Bi Hsu Tsing-Hua University, Hsinchu, Taiwan
A co-publication of the AMS and International Press of Boston
Lectures on Chaotic Dynamical Systems
Hardcover ISBN:  978-0-8218-3168-7
Product Code:  AMSIP/28
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $52.00
eBook ISBN:  978-1-4704-3817-3
Product Code:  AMSIP/28.E
List Price: $60.00
MAA Member Price: $54.00
AMS Member Price: $48.00
Hardcover ISBN:  978-0-8218-3168-7
eBook: ISBN:  978-1-4704-3817-3
Product Code:  AMSIP/28.B
List Price: $125.00 $95.00
MAA Member Price: $112.50 $85.50
AMS Member Price: $100.00 $76.00
Lectures on Chaotic Dynamical Systems
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Lectures on Chaotic Dynamical Systems
Valentin Afraimovich San Luis Potosi State University, San Luis Potosi, Mexico
Sze-Bi Hsu Tsing-Hua University, Hsinchu, Taiwan
A co-publication of the AMS and International Press of Boston
Hardcover ISBN:  978-0-8218-3168-7
Product Code:  AMSIP/28
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $52.00
eBook ISBN:  978-1-4704-3817-3
Product Code:  AMSIP/28.E
List Price: $60.00
MAA Member Price: $54.00
AMS Member Price: $48.00
Hardcover ISBN:  978-0-8218-3168-7
eBook ISBN:  978-1-4704-3817-3
Product Code:  AMSIP/28.B
List Price: $125.00 $95.00
MAA Member Price: $112.50 $85.50
AMS Member Price: $100.00 $76.00
  • Book Details
     
     
    AMS/IP Studies in Advanced Mathematics
    Volume: 282002; 353 pp
    MSC: Primary 37;

    This book is devoted to chaotic nonlinear dynamics. It presents a consistent, up-to-date introduction to the field of strange attractors, hyperbolic repellers, and nonlocal bifurcations. The authors keep the highest possible level of “physical” intuition while staying mathematically rigorous. In addition, they explain a variety of important nonstandard algorithms and problems involving the computation of chaotic dynamics.

    The book will help readers who are not familiar with nonlinear dynamics to understand and appreciate sophisticated modern dynamical systems and chaos. Intended for courses in either mathematics, physics, or engineering, prerequisites are calculus, differential equations, and functional analysis.

    Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.

    Readership

    Graduate students in applied mathematics, mathematical physics, theoretical physics, and electrical engineering.

  • Table of Contents
     
     
    • Chapters
    • Basic concepts
    • Zero-dimensional dynamics
    • One-dimensional dynamics
    • Two-dimensional dynamics
    • Systems with 1.5 degrees of freedom
    • Systems generated by three-dimensional vector fields
    • Lyapunov exponents
    • Appendix
  • Reviews
     
     
    • A dynamical systems book written by experts. The book of Afraimovich and Hsu is a nice reference for a graduate course in dynamical systems.

      Mathematical Reviews
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 282002; 353 pp
MSC: Primary 37;

This book is devoted to chaotic nonlinear dynamics. It presents a consistent, up-to-date introduction to the field of strange attractors, hyperbolic repellers, and nonlocal bifurcations. The authors keep the highest possible level of “physical” intuition while staying mathematically rigorous. In addition, they explain a variety of important nonstandard algorithms and problems involving the computation of chaotic dynamics.

The book will help readers who are not familiar with nonlinear dynamics to understand and appreciate sophisticated modern dynamical systems and chaos. Intended for courses in either mathematics, physics, or engineering, prerequisites are calculus, differential equations, and functional analysis.

Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.

Readership

Graduate students in applied mathematics, mathematical physics, theoretical physics, and electrical engineering.

  • Chapters
  • Basic concepts
  • Zero-dimensional dynamics
  • One-dimensional dynamics
  • Two-dimensional dynamics
  • Systems with 1.5 degrees of freedom
  • Systems generated by three-dimensional vector fields
  • Lyapunov exponents
  • Appendix
  • A dynamical systems book written by experts. The book of Afraimovich and Hsu is a nice reference for a graduate course in dynamical systems.

    Mathematical Reviews
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.