Chaotic tree modeling based on discharge currents

Seiichi Fujimori, Mitsutoshi Akasaka, Shinichirou Hiruta, Tetsuo Endoh, Kazuo Ishiwata

研究成果: Paper査読

1 被引用数 (Scopus)

抄録

Trees are very important object for studying solid insulating materials, and the modeling urges rapid progress for aging problems. In this paper the Taken's reconstruction theory using in chaotic studies was applied to the discharge current pulses accompanied with trees developing from the needle tip of a needle-plane electrode system constructed in PE. The tree patterns obtained were photographed simultaneously with the measurements of the discharge currents. The results obtained are: The dynamic current attractors are obtained based on the Taken's theory, and those are gradually extended depending on tree developments. The attractors are composed of two components corresponding to the current polarities. Fractal analysis is also carried out for the attractors to discuss if those has a chaotic property. The relation between the number of square coverings and one side length of the coverings is linear and the representative fractal dimension is approximately 1.46. Thus, the attractors have a chaotic property, and are considered to be a kind of dynamic tree modelings.

本文言語English
ページ432-435
ページ数4
出版ステータスPublished - 1994 12 1
外部発表はい
イベントProceedings of the 1994 IEEE 4th International Conference on Properties and Applications of Dielectric Materials. Part 2 (of 2) - Brisbane, Aust
継続期間: 1994 7 31994 7 8

Other

OtherProceedings of the 1994 IEEE 4th International Conference on Properties and Applications of Dielectric Materials. Part 2 (of 2)
CityBrisbane, Aust
Period94/7/394/7/8

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Materials Chemistry

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