Directions in Chaos, Volume 2

Front Cover
World Scientific, 1988 - Science - 400 pages
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Volume 2 of Directions in Chaos consists of the contributions made to the Beijing Summer School on Chaotic Phenomena in Nonlinear Systems held in August 1987.
 

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Contents

UNIVERSALITY OF DISSIPATIVE SYSTEMS
1
Some Examples
11
Circle Maps
18
Supercritical Behaviour
39
CHAOS IN LIQUID CRYSTAL OPTICAL BISTABILITY
46
Instability in TwoDelayed LCOB
69
Conclusions
87
Dynamics in DelayDifferential Equations
101
Thermodynamics for the Logistic Map at
212
The Thermodynamics of Complete Chaos
218
SELF ORGANIZED CRITICAL PHENOMENA
238
Minimal Stability
242
Summary and Discussion
254
Theory
268
The Promise of Lattice Gas Methods
279
NUMERICAL METHODS TO STUDY CHAOS
294

MOST STABLE MANIFOLDS AND TRANSITION
109
Destruction of Tori in Dissipative Dynamical Systems
115
Transformation of Invariant Tori into Strange
123
The Past
129
The Future
139
Random Matrix Theory RMT
157
TimeIndependent Universality Classes
167
TimeDependent Universality Classes
175
Conclusions
186
THE THERMODYNAMICS OF FRACTALS
194
Thermodynamics of Hyperbolic Systems
205
Calculation of Poincare Maps
297
Power Spectra Analysis
304
AN EXPERIMENTALISTS INTRODUCTION
310
Implementation Details
323
Analyzing the Dynamics
331
Speculations and Limitations
351
Mathematical Background
354
Dynamical Systems
371
References
380
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