Nonlinear Phenomena Research PerspectivesCharles W. Wang Nova Publishers, 2007 - 454 стор. 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. |
Зміст
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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 |
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Загальні терміни та фрази
algorithm amplitude and phase amplitude modulation applications attractor basis vectors brain bushes of modes chain Chaos chaotic attractors chaotic communication systems chaotic system coefficients complex considered coordinates correlation dimension corresponding coupling delay dependent differential equations dihedral group dimension dynamical equations dynamical systems example extrema feedback field Figure fixed-point subspaces frequency group G Hamiltonian harmonic impurity initial conditions interactions intrinsic localized mode invariant irreducible irreducible representations irrep Lyapunov Lyapunov exponent master-slave matrix mechanical system method Michael Small modulation neuronal noise normal modes obtained off-channel optical optical bistability orthogonal oscillator parameters photonic crystal Phys plane plot potential representation seizure solution solvability conditions space spatial stability subgroup subspaces surrogate data symmetry group t₁ Theorem three dimensional surface time-delay systems trajectories transformation transmission transmitted true time delay two-dimensional variables vibrational wave waveguide waveguide channel X₁ τ₁