Heinz Georg Schuster & Wolfram Just – Deterministic Chaos: An Introduction

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Deterministic Chaos: An Introduction
Author(s):Prof. Dr. H. G. Schuster, Lecturer Wolfram Just

About this book
A new edition of this well-established monograph, this volume provides a comprehensive overview over the still fascinating field of chaos research. The authors include recent developments such as systems with restricted degrees of freedom but put also a strong emphasis on the mathematical foundations. Partly illustrated in color, this fourth edition features new sections from applied nonlinear science, like control of chaos, synchronisation of nonlinear systems, and turbulence, as well as recent theoretical concepts like strange nonchaotic attractors, on-off intermittency and spatio-temporal chaotic motion.

Table of Contents

Export Citation(s)

•  Front Matter (Pages: i-xi)
•  Introduction (Pages: 1-5)
•  Experiments and Simple Models (Pages: 7-18)
•  Piecewise Linear Maps and Deterministic Chaos (Pages: 19-31)
•  Universal Behavior of Quadratic Maps (Pages: 33-67)
•  The Intermittency Route to Chaos (Pages: 69-88)
•  Strange Attractors in Dissipative Dynamical Systems (Pages: 89-125)
•  The Transition from Quasiperiodicity to Chaos (Pages: 127-159)
•  Regular and Irregular Motion in Conservative Systems (Pages: 161-181)
•  Chaos in Quantum Systems? (Pages: 183-192)
•  Controlling Chaos (Pages: 193-205)
•  Synchronization of Chaotic Systems (Pages: 207-215)
•  Spatiotemporal Chaos (Pages: 217-229)
•  Outlook (Pages: 231-232)
•  Appendix (Pages: 233-256)
•  Remarks and References (Pages: 257-281) 
• Index (Pages: 283-287)

Front Matter (Pages: i-xi)

CHAPTER 1
Introduction (Pages: 1-5)

CHAPTER 2
Experiments and Simple Models (Pages: 7-18)

CHAPTER 3
Piecewise Linear Maps and Deterministic Chaos (Pages: 19-31)

CHAPTER 4
Universal Behavior of Quadratic Maps (Pages: 33-67)

CHAPTER 5 
The Intermittency Route to Chaos (Pages: 69-88)

CHAPTER 6
Strange Attractors in Dissipative Dynamical Systems (Pages: 89-125)

CHAPTER 7
The Transition from Quasiperiodicity to Chaos (Pages: 127-159)

CHAPTER 8
Regular and Irregular Motion in Conservative Systems (Pages: 161-181)

CHAPTER 9
Chaos in Quantum Systems? (Pages: 183-192)

CHAPTER 10
Controlling Chaos (Pages: 193-205)

CHAPTER 11 
Synchronization of Chaotic Systems (Pages: 207-215)

CHAPTER 12
Spatiotemporal Chaos (Pages: 217-229)

CHAPTER 13
Outlook (Pages: 231-232)
 
Appendix (Pages: 233-256)
 
Remarks and References (Pages: 257-281)
 
Index (Pages: 283-287)
 
Legends to Plates I-XX (Pages: xiii-xxv)

Deterministic Chaos: An Introduction By Heinz Georg Schuster & Wolfram Just

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