Successive Bifurcations to Chaotic State in the Nonlinear Evolution of Collisional Drift Wave
Abstract
The successive bifurcations from a stationary state to a chaotic state in the nonlinear evolution of the collisional drift wave are studied on a set of model equations derived by NishiKawa, Hatori and Terashima. A new truncation scheme is introduced to eliminate numerical instabilities observed by them. It is shown that a model system exhibits an inverted bifurcation as to the stability of a fixed point to the case of the 12mode system and a normal bifurcation otherwise. All cases, though different in the type of bifurcations of fixed points, undergo a sequence of bifurcations, exhibiting single periodic and doubly periodic and aperiodic motions successively. The properties of stochastic states are also investigated.
 Publication:

Journal of the Physical Society of Japan
 Pub Date:
 November 1979
 DOI:
 10.1143/JPSJ.47.1659
 Bibcode:
 1979JPSJ...47.1659K
 Keywords:

 Branching (Mathematics);
 Fixed Points (Mathematics);
 Nonlinear Systems;
 Systems Stability;
 Turbulence;
 Wave Propagation;
 Approximation;
 Entropy;
 Kolmogoroff Theory;
 Numerical Stability;
 Stochastic Processes;
 Wave Equations;
 Physics (General)