Successive Bifurcations to Chaotic State in the Nonlinear Evolution of Collisional Drift Wave

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  • Kako Fujio
    Research Institute for Applied Mechanics, Kyushu University
  • Kono Mitsuo
    Research Institute for Applied Mechanics, Kyushu University

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  • Successive Bifurcations to Chaotic Stat

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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 Nishi-Kawa, 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 12-mode 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.

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