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Part 2 Waves: nonlinear stationary waves - steepening of waves, stationary waves, examples of stationary waves, collision-free shock waves Hamiltonian description of waves - variational principles, resonance interaction of waves, nonlinear wave resonances, interaction of nonlinear waves chaos in wave fields - weakly nonlinear fields, the fermi-pasta-ulam (FPU) problem, turbulence of a weekly nonlinear field, stochastic instability of a nonlinear wave strong turbulence - Lorenz model, convective cells, features of the onset of turbulence, Langmuir turbulence, soliton turbulence exactly integrable wave equations - integration of the KdV equation, integrable equations. Part 3 Examples: motion of particles in wave fields - regular and stochastic dynamics of particles, motion in a magnetic field and the field of a wave packet, the paradox of the disappearance of Landau damping, stochastic web billiards - mixing billiards, nonlinear-ray dynamics nonlinear optics - nonlinear geometrical optics, nonlinear co-operative phenomena structural properties of one dimensional chains - atom chains, spin chains, excitation in chains of molecules perturbations in Kepler's problem - nonlinear dynamics in a coulomb field, excitation and ionization of a hydrogen atom, diffusion of the eccentricity of orbits in the gravitational field of planets, diffusion of comets from the oort cloud. 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<i>Nonlinear Physics: From the Pendulum to Turbulence and Chaos</i> 论文

<i>Nonlinear Physics: From the Pendulum to Turbulence and Chaos</i> · 相关文章