1999Unpublished venueRequires access

Model of Silent Discharge Current and lts Chaotic Oscillation

Tetsuya Kimura, Joji Maeda, Sumio Kogoshi

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Abstract

A model of silent discharge has been proposed. This model can produce a current waveform similar to the experimental one. The current waveforms in the experiments showed sometimes chaotic fluctuations. The Lyapunov exponents, the Lyapunov dimension and correlation dimension of the experimental data have been analyzed. Some of them show a positive Lyapunov exponent and noninteger Lyapunov dimension and non-integer correlation dimension. Therefore they are deterministic chaos oscillations.

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What this paper is about

A model of silent discharge has been proposed. This model can produce a current waveform similar to the experimental one. The current waveforms in the experiments showed sometimes chaotic fluctuations. The Lyapunov exponents, the Lyapunov dimension and correlation dimension of the experimental data have been analyzed. Some of them show a positive Lyapunov exponent and noninteger Lyapunov dimension and non-integer correlation dimension. Therefore they are deterministic chaos oscillations.

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Available abstract

A model of silent discharge has been proposed. This model can produce a current waveform similar to the experimental one. The current waveforms in the experiments showed sometimes chaotic fluctuations. The Lyapunov exponents, the Lyapunov dimension and correlation dimension of the experimental data have been analyzed. Some of them show a positive Lyapunov exponent and noninteger Lyapunov dimension and non-integer correlation dimension. Therefore they are deterministic chaos oscillations.

Key concepts: Lyapunov exponent, Correlation dimension, Chaotic, Dimension (graph theory), Mathematics, Waveform, Current (fluid), Oscillation (cell signaling)

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