Three-Drift-Wave Interaction at Finite Parallel Wavelength: Bifurcations and Transition to Turbulence

摘要

The generic properties of the nonlinear interaction of three driftwaves with finite kappasub(parallel) are investigated. The different types of stationary or quasi-stationary states are characterized by the bifurcation diagram in gamma sub 1 , kappa parameter space, where gamma sub 1 measures the mode excitation and kappa the parallel wave number. The transition to turbulence corresponds exactly to the Ruelle-Takens picture: steady state -> periodic solution -> doubly periodic solution -> turbulence, in contrast to the periodic-doubling route usually observed in low-dimensional dynamic systems. (ERA citation 10:032902)