Nonlinear Phenomena Research Perspectives
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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SURROGATE DATA METHODS FOR DATA THAT ISNT LINEAR NOISE
CHAOS SYNCHRONIZATION WITH MISMATCHINDUCED LAG OR ANTICIPATION
CONSISTENT APPLICATION OF THE METHOD OF MULTIPLE TIME SCALES TO NONLINEAR SYSTEMS
SYNCHRONIZATION OF CHAOTIC COMMUNICATION SYSTEMS
THE NONLINEAR AMPLITUDE EQUATION IN HARMONIC PHENOMENA
BUSHES OF NORMAL MODES AS EXACT EXCITATIONS IN NONLINEAR DYNAMICAL SYSTEMS WITH DISCRETE SYMMETRY
NONLINEAR OPTICAL MEDIA IN PHOTONIC CRYSTAL CIRCUITS DEVICE APPLICATIONS
A NEW APPROACH OF THE UNIVERSE EXPANSION
TOPOLOGICAL TRANSITIONS IN CLASSICAL MECHANICS
NEW RESULTS FOR GLOBAL CONVERGENCE OF NEURAL NETWORKS WITH MULTIPLE TIME DELAYS
THE FLUCTUATING BRAIN DYNAMICS OF NEURONAL ACTIVITY
activity algorithm amplitude applications approximation boundary brain bush channel Chaos chaotic communication complex considered consistency constant coordinates corresponding coupling defined definition delay dependent derivative described determined dielectric differential equations dimension dimensional discussed dynamical dynamical systems elements energy equal equation estimation example excitation exist field Figure flow force frequency function given Hamiltonian independent initial interactions invariant irrep Kerr linear localized matrix mechanical method modes modulation noise nonlinear nonlinear function normal Note observed obtained operator optical original oscillator parameters periodic phase photonic crystal Phys physical plane plot possible potential presented problem properties recovered representation represents resonant respect shown shows signal solution space stability structure subgroup surrogate symmetry group synchronization time-delay systems transformation transmission transmitted values variables vector vibrational wave waveguide