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.
Content:
Chapter 1 Introduction (pages 1โ5):
Chapter 2 Experiments and Simple Models (pages 7โ18):
Chapter 3 Piecewise Linear Maps and Deterministic Chaos (pages 19โ31):
Chapter 4 Universal Behavior of Quadratic Maps (pages 33โ67):
Chapter 5 The Intermittency Route to Chaos (pages 69โ88):
Chapter 6 Strange Attractors in Dissipative Dynamical Systems (pages 89โ125):
Chapter 7 The Transition from Quasiperiodicity to Chaos (pages 127โ159):
Chapter 8 Regular and Irregular Motion in Conservative Systems (pages 161โ181):
Chapter 9 Chaos in Quantum Systems? (pages 183โ192):
Chapter 10 Controlling Chaos (pages 193โ205):
Chapter 11 Synchronization of Chaotic Systems (pages 207โ215):
Chapter 12 Spatiotemporal Chaos (pages 217โ229):
Chapter 13 Outlook (pages 231โ232):