Cascade mode locking : a possible route to chaos in the two-waves Hamiltonian system
A numerical study of the two-waves Hamiltonian system is presented which reveals the route to large scale stochasticity as a process based on the mode-locking phenomenon. The final chaos is reached after a cascade of lockings, appearing successively for different independent modes of oscillation in the system. Using a Fourier analysis, the different steps in this cascade process are detected by following the change in the frequency of the pronounced modes in the power spectrum. When changing the strength of the perturbation, the locking of the relevant mode to a fixed frequency inherent to the system is observed. It is shown that this mechanism allows for the generation of low frequency oscillations which, due to the nonlinear coupling existing in the system, combine with all the existing peaks into a raised spectrum consisting of broad diffuse patterns, which is the signature of chaotic motion.
Bibliographic Reference: Report: EUR-CEA-FC-1373 EN (1989)
Availability: Available from CEA, Département de Recherches sur la Fusion Contrôlée, Saint-Paul-lez-Durance (FR)
Record Number: 198910992 / Last updated on: 1994-12-01
Original language: en
Available languages: en