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Chaos in parametric resonance flow at water-mercury interface
Authors:Makoto Sato  Ryoichi Aogaki
Affiliation:

Department of Product Design, Polytechnic University, 4-1-1, Hashimoto-dai, Sagamihara 229, Japan

Abstract:In the electrochemical system with liquid-liquid interface, intense local convections by the resonance with potential pulses take place. Therefore, with laser beam scattering, temporal movement of the water-mercury interface was observed. As a result, the scattering efficiency showed non-linear oscillation.

Such non-linear response could be controlled by potential pulse height. As the potential height was increased, new scattering peaks in the oscillation emerged, which was expected of a kind of bifurcation phenomenon. From these results, phase portrait, Poincarè section, correlation dimension of the strange attractor and the largest Lyapunov exponent of the trajectories were obtained. Consequently, it was concluded that all the parameters indicate chaotic behavior of the resonance flow.

Keywords:chaos  liquid-liquid interface  parametric resonance flow  non-linearity  bifurcation
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