New Nonlinear Phenomena ResearchThis new book focuses on recent and significant research on non-linear, or chaotic behaviour which in real world systems has been reported in electronic circuits and communications systems, chemical reactions, biological behaviour. The applications include solitons, integrable systems, cellular automata, pattern formation, qualitative structure and bifurcation theory, onset of chaos and turbulence, analytic dynamics, and transport phenomena. |
Contents
Strongly Nonlinear Wave Phenomena in Restricted Liquids | 109 |
Slow | 301 |
PhaseField Models for NonIsothermal Phase Transitions | 355 |
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Common terms and phrases
â¹ â³ amplitude approximately arbitrary atoms attractors basis vectors bottom friction boundary conditions breather bushes of modes bushes of vibrational C₁ cavitation chaos chaotic attractors chaotic behavior coefficients considered corresponding curves described determined diffusion dihedral group dispersion displacement dynamical equations dynamical regime dynamical system energy entropy equilibrium excited exponential Figure fixed-point subspaces FPU chain frequency function group G Hamiltonian harmonic initial conditions interaction invariant irreducible representations irrep lattice linear liquid localized matrix mechanical system molecule motion nonlinear waves normal coordinates normal modes obtain one-dimensional bush oscillations parameter particles phase space Phys physical plate profiles quadratically nonlinear relaxation resonant band resonant waves Shannon entropy shock wave shown in Fig solution speed stability structure subgroup subspace surface symmetry group theory transresonant evolution tsunami underwater wave values variables vibrational modes viscosity wave equation