HYSTERESIS AND ONSET OF CHAOS IN PERIODICALLY DRIVEN NONLINEAR DRIFT WAVES
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.
Bibliographic Reference: WRITE TO MAX-PLANCK-INSTITUT FUER PLASMAPHYSIK, 8046 GARCHING BEI MUENCHEN (GERMANY), MENTIONING REPORT IPP 6/275, 1988
Record Number: 1989126118000 / Last updated on: 1989-06-01
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