Nonlinear Phenomena Research Perspectives

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Nova Publishers, 2007 - Computers - 454 pages
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Non-linear, or chaotic behaviour in real world systems has been reported in electronic circuits and communications systems, chemical reactions, biological behaviour. Applications include solitons, integrable systems, cellular automata, pattern formation, qualitative structure and bifurcation theory, onset of chaos and turbulence, analytic dynamics, and transport phenomena. This book presents important new research in this dynamic field.
 

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Contents

ISSUES FOR SECURE CHAOTIC COMMUNICATIONS IN THE FUTURE
3
RESEARCH ARTICLES
5
RECOVERY OF DYNAMICAL MODELS OF TIMEDELAY SYSTEMS FROM TIME SERIES APPLICATION TO CHAOTIC COMMUNICATION
7
SURROGATE DATA METHODS FOR DATA THAT ISNT LINEAR NOISE
55
CHAOS SYNCHRONIZATION WITH MISMATCHINDUCED LAG OR ANTICIPATION
83
CONSISTENT APPLICATION OF THE METHOD OF MULTIPLE TIME SCALES TO NONLINEAR SYSTEMS
103
SYNCHRONIZATION OF CHAOTIC COMMUNICATION SYSTEMS
131
THE NONLINEAR AMPLITUDE EQUATION IN HARMONIC PHENOMENA
177
BUSHES OF NORMAL MODES AS EXACT EXCITATIONS IN NONLINEAR DYNAMICAL SYSTEMS WITH DISCRETE SYMMETRY
225
NONLINEAR OPTICAL MEDIA IN PHOTONIC CRYSTAL CIRCUITS DEVICE APPLICATIONS
329
A NEW APPROACH OF THE UNIVERSE EXPANSION
369
TOPOLOGICAL TRANSITIONS IN CLASSICAL MECHANICS
379
NEW RESULTS FOR GLOBAL CONVERGENCE OF NEURAL NETWORKS WITH MULTIPLE TIME DELAYS
397
THE FLUCTUATING BRAIN DYNAMICS OF NEURONAL ACTIVITY
417
INDEX
443
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