| 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 |
| 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 |
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Book DetailsAMS/IP Studies in Advanced MathematicsVolume: 28; 2002; 353 ppMSC: 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.
ReadershipGraduate students in applied mathematics, mathematical physics, theoretical physics, and electrical engineering.
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Table of Contents
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Chapters
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Basic concepts
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Zero-dimensional dynamics
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One-dimensional dynamics
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Two-dimensional dynamics
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Systems with 1.5 degrees of freedom
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Systems generated by three-dimensional vector fields
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Lyapunov exponents
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Appendix
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Reviews
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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
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
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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.
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
