Chaotic Dynamics : Theory and Practice

By: T. Bountis (Editor)

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These 37 papers are from the multidisciplinary NATO Advanced Study Institute on Chaotic Dynamics held in Patras, Greece, in July 1991. Among the diverse topics discussed were complexity, control and data representation; celestial mechanics and cosmology; controlling dynamical systems; semiconductors

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Complexity and Unpredictable Scaling of Hierarchical Structures	p. 1
Asymptotic State Estimation Using Observers in Dynamical and Control Systems	p. 21
Learning Optimal Representations	p. 33
Multifractal Coding Measures in Dynamics	p. 43
Determination of Fractal Dimensions and Generalized Entropies of Strange Atractors	p. 49
On the Quaternionic Julia Sets	p. 53
Perturbation Theory and Analyticity of Normalizing Transformations for Area Preserving Maps	p. 59
Note on a Complex Eckhaus Equation	p. 71
Integrability of Discrete-Time Systems	p. 75
From Weak to Full Painleve Property Via Time Singularities Transformations	p. 91
The Role of Negative Resonances in the Painleve Test	p. 101
On the Convergence of Series Solutions of Nonintegrable Systems With Algebraic Singularities	p. 115
Chaotic Phase Transitions Within the Fully Developed Regime	p. 129
From Dynamical Systems to Local Diffusion Processes	p. 139
Nonintegrability, Separatrices Crossing and Homoclinic Orbits in the Problem of Rotational Motion of a Satellite	p. 145
Relativistic Chaos in Robertson-Walker Cosmologies : The Topological Structure of Space-Time and Microscopic Dynamics	p. 161
Feedback Control of Chaotic Systems	p. 177
The Structure of Basin Boundaries in a Simple Adaptive Control System	p. 195
A Method for Adaptive Control and Learning in Chaotic Systems	p. 211
Global Bifurcations, Nonlinear and Chaotic Spatio-Temporal Dynamics in Semiconductor Heterostructures	p. 221
Numerical Study of Bifurcations in the BCS Gap Equation	p. 233
Dynamics of Fibre Laser With Nonlinear External Cavity	p. 243
Symbolic Description of Irregular Behaviour in a Laser Model	p. 253
Chaotic Dynamics in Practice : An Electronic Circuit for a Nonlinear Oscillator With Damping, Forcing and Possible Escape to infinity	p. 263
Dynamic Analysis of Encephalic Activity	p. 275
Chaotic Response of a Periodically Forced System of Two Competing Microbial Species	p. 283
Irregular Bursting in Model Neurones	p. 297
Spectroscopy and Dynamics of Vibrationally Excited Molecules: A Phase Space Structure Analysis	p. 301
Inhibition of Chaotic Behaviour in Coupled Models of Atmospheric Dynamics and Climate Evolution	p. 317
Evidence for Chaotic Dynamics in the Outer Solar Plasma and the Earth Magnetosphere	p. 327
Time Series Analysis of Magnetospheric Activity Using Nonlinear Dynamical Methods	p. 341
Spectral Properties of Trajectories in Near Integrable Hamiltonian Systems	p. 349
Symmetry Breaking in the Period-Doubling Route to Chaos	p. 357
Dissipative Deterministic Chaotic Dynamics Between the Lyapounov Time and Long Time Limit : A Probabilistic Description	p. 371
Resonant Normal Forms and Applications to Beam Dynamics	p. 379
Analysis of Singularities of the Standard Map Conjugation Function	p. 389
Pade Approximants Applied to the Analysis of the Singularity Structure for Conjugacy Problem	p. 395
Contributors	p. 401
Index	p. 417
Table of Contents provided by Blackwell. All Rights Reserved.

Chaotic Dynamics : Theory and Practice

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