Community Research and Development Information Service - CORDIS

Abstract

The driven/damped nonlinear drift equationpar partialphi/partial t + a partial3phi/partial tpartial2y + cpartialphi/partial y + fphipartialphi/partial y = -epsilonsin(Ky-Omega t)-gammaphi is solved numerically. In (epsilon,Omega) space the properties of the solutions repeat in a selfsimilar way in cells of decreasing size for Omega rightarrow 0. Within each cell there are regions of constant, periodic, doubly periodic, etc. or chaotic energy E(t) for t rightarrow infty. Regions of Omega with a high' and a low'' branch solution of E also exist simultaneously, which gives rise to hysteresis for cyclically varied epsilon. Hopf bifurcations may take place on both branches. The width of the hystereses depends on the initial conditions. The space dependence of phi and its spectral properties are also studied.

Additional information

Authors: KAIFEN HE, MAX-PLANCK-INSTITUT FUER PLASMAPHYSIK, GARCHING BEI MUENCHEN (GERMANY);SALAT A MAX-PLANCK-INSTITUT FUER PLASMAPHYSIK, GARCHING BEI MUENCHEN (GERMANY), MAX-PLANCK-INSTITUT FUER PLASMAPHYSIK, GARCHING BEI MUENCHEN (GERMANY)
Bibliographic Reference: WRITE TO MAX-PLANCK-INSTITUT FUER PLASMAPHYSIK, 8046 GARCHING BEI MUENCHEN (GERMANY), MENTIONING REPORT IPP 6/275, 1988
Follow us on: RSS Facebook Twitter YouTube Managed by the EU Publications Office Top