Advanced synergetics: instability hierarchies of self-organizing systems and devices

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Springer-Verlag, 1983 - Mathematics - 356 pages
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Contents

Introduction
1
Linear Ordinary Differential Equations
61
Linear Ordinary Differential Equations with Quasiperiodic
103
Stochastic Nonlinear Differential Equations
143
The World of Coupled Nonlinear Oscillators
154
The Case of Persistence
172
Nonlinear Equations The Slaving Principle
187
Nonlinear Equations Qualitative Macroscopic Changes
222
Spatial Patterns
267
The Inclusion of Noise
282
Discrete Noisy Maps
303
Example of an Unsolvable Problem in Dynamics
312
The Most General Solution to the Problem of Theorem 6 2 1
319
Proof of Theorem 6 2 1
331
Subject Index
351
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