Dissipative Structures and Chaos

✍ Scribed by Professor Hazime Mori, Professor Dr. Yoshiki Kuramoto (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1998
• Tongue: English
• Leaves: 306
• Edition: 1
• Category: Library

✦ Synopsis

This monograph consists of two parts and gives an approach to the physics of open nonequilibrium systems. Part I derives the phenomena of dissipative structures on the basis of reduced evolution equations and includes Bénard convection and Belousov-Zhabotinskii chemical reactions. Part II discusses the physics and structures of chaos. While presenting a construction of the statistical physics of chaos, the authors unify the geometrical and statistical descriptions of dynamical systems. The shape of chaotic attractors is characterized, as are the mixing and diffusion of chaotic orbits and the fluctuation of energy dissipation exhibited by chaotic systems.

✦ Table of Contents

Front Matter....Pages I-XIX
Front Matter....Pages 1-1
Introduction....Pages 3-3
A Representative Example of Dissipative Structure....Pages 5-20
Amplitude Equations and Their Applications....Pages 21-41
Reaction—Diffusion Systems and Interface Dynamics....Pages 43-68
Phase Dynamics....Pages 69-92
Foundations of Reduction Theory....Pages 93-117
Dynamics of Coupled Oscillator Systems....Pages 119-123
Front Matter....Pages 125-125
Introduction....Pages 127-127
A Physical Approach to Chaos....Pages 129-149
Bifurcation Phenomena of Dissipative Dynamical Systems....Pages 151-182
The Statistical Physics of Aperiodic Motion....Pages 183-215
Chaotic Bifurcations and Critical Phenomena....Pages 217-240
Mixing and Diffusion in Chaos of Conservative Systems....Pages 241-259
On the Structure of Chaos....Pages 261-264
Back Matter....Pages 265-267
Back Matter....Pages 269-299

✦ Subjects

Statistical Physics, Dynamical Systems and Complexity;Thermodynamics;Physical Chemistry;Theoretical and Computational Chemistry