Directions in Chaos, Volume 1

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World Scientific, 1987 - Science - 368 pages
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This volume, the first of a two-volume book, consists of a collection of comprehensive reviews and lectures written by active researchers on topics in chaotic phenomena.
 

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Contents

DIRECTIONS IN CLASSICAL CHAOS
1
Algorithmic Integrability
8
NONLINEAR RESONANCE AND CHAOS IN CONSERVATIVE
17
Unperturbed Double Well and Pendulum Systems
26
Resonance Structure of the Duffing System
34
Two Resonance Hamiltonian
41
Behavior near the Separatrix Melnikov Integral
51
Whisker Map
58
Other Sequences
107
Derivation of 29
118
Reliability and Stability of the Algorithms
131
EMERGENCE OF CHAOS IN LASER SYSTEMS
148
Diagnostic Techniques
158
Semiclassical Model
179
Experimental Verification of Bistable and Chaotic Behavior
196
TRANSITIONS TO CHAOS IN HIGHER DIMENSIONS
206

Standard Map
64
Cantori
74
Renormalization Group Transformation
81
Evaluation of Melnikov Integral
88
GENERALIZED RENORMALIZATION GROUP ANALYSIS
91
Truncation
97
Quasiperiodicity with Three Incommensurate Frequencies
253
PHENOMENOLOGY OF SPATIOTEMPORAL CHAOS
272
PeriodDoubling Lattices
282
Soliton Turbulence
313
Transient Spatial Chaos
339
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