Chaos in the perturbed Korteweg-de Vries equation with nonlinear terms of higher order

【摘要】 The dynamical behaviour of the generalized Korteweg-de Vries(KdV) equation under a periodic perturbation is investigated numerically.The bifurcation and chaos in the system are observed by applying bifurcation diagrams,phase portraits and Poincar maps.To characterise the chaotic behaviour of this system,the spectra of the Lyapunov exponent and Lyapunov dimension of the attractor are also employed.更多还原

【Abstract】 The dynamical behaviour of the generalized Korteweg-de Vries(KdV) equation under a periodic perturbation is investigated numerically.The bifurcation and chaos in the system are observed by applying bifurcation diagrams,phase portraits and Poincar maps.To characterise the chaotic behaviour of this system,the spectra of the Lyapunov exponent and Lyapunov dimension of the attractor are also employed.更多还原