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Bifurcation phenomena in a periodically driven current filament and a conjecture on the turbulent patterns by computer simulations

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Abstract

Bifurcation routes to chaos in a periodically driven current filament have been studied by computer simulations. By an impact ionization model, theS-shaped currentvoltage curve is perturbed by the dc+ac bias ofE 0+E acsin(27πf 0t). The bifurcation maps are described as a function ofE 0. In the prebreakdown region, the fractal basin boundary, the crisis and the intermittency are discussed, based on the general considerations of the carrier dynamics on the catastrophe manifold. The intermittent burst of the current filament is explained by the destabilization of the weak turbulence generated in the lower branch. In the diffusion-reaction model, the spatio-temporal mode patterns of the transverse carrier profile have revealed the competitive evolution of the hyper-freezing and the firing.

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Authors and Affiliations

  1. Department of Electrical Engineering, Faculty of Engineering, Kobe University, Rokkodai, Nada, 657, Kobe, Japan

    K. Aoki & N. Mugibayashi

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  1. K. Aoki
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  2. N. Mugibayashi
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Aoki, K., Mugibayashi, N. Bifurcation phenomena in a periodically driven current filament and a conjecture on the turbulent patterns by computer simulations. Appl. Phys. A 48, 161–169 (1989). https://doi.org/10.1007/BF01141279

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