Hysteresis and onset of chaos in periodically driven nonlinear drift waves
The driven/damped nonlinear drift equation for a periodic driving term with amplitude e, frequency W and a linear damping term is solved numerically. In (e,W) space the properties of the solutions repeat in a self-similar way in cells of decreasing size. Within each cell there are regions of constant, periodic, doubly periodic, etc, or chaotic energy E. Regions of W with a "high" and a "low" branch solution of E also exist simultaneously, which gives rise to hysteresis for cyclically varied e. Hopf bifurcations may take place on both branches. The width of the hystereses depends on the initial conditions. The space dependence of the solution and its spectral properties are also studied.
Bibliographic Reference: Article: Plasma Physics and Controlled Fusion, Vol. 31 (1989), No. 1, pp. 123-141
Record Number: 198910579 / Last updated on: 1994-12-01
Original language: en
Available languages: en