Mode locking and side-bands generation : a mechanism for intermediate stochasticity in conservative systems
A numerical study of the two-waves system is presented which reveals the occurrence of stochasticity for only a limited range of the perturbation, beyond which it disappears. This type of stochasticity is referred to as "Intermediate Stochasticity". Using a Fourier analysis, it is found that intermediate stochasticity is closely associated with the mode locking phenomenon taking place in the system. A theoretical analysis of this phenomenon, based on an extension of the Krylov-Bogoliubov theory of slow variation parameters, appropriate to strongly nonlinear equations, is presented. This analysis explains the main features of the numerical observations.
Bibliographic Reference: Report: EUR-CEA-FC-1367 EN (1989)
Availability: Available from CEA, Département de Recherches sur la Fusion Contrôlée, Saint-Paul-lez-Durance (FR)
Record Number: 198910848 / Last updated on: 1994-12-01
Original language: en
Available languages: en