On chaotic aspects of trees

S. Fujimori; T. Endoh; K. Mitsuboshi; K. Ishiwata; M. Akasaka; S. Hiruta

On chaotic aspects of trees

S. Fujimori, T. Endoh, K. Mitsuboshi, K. Ishiwata, M. Akasaka, S. Hiruta

研究成果: Paper › 査読

抄録

Branching processes such as the solid degradation process have been difficult to analyzed until recently, with the advent of new methods. In particular, the fractal properties of the tree phenomena have been studied, and its chaotic aspects reported based on Taken's reconstruction theorem, which proved that the attractor of the reconstructed system can conserve the original structure. In this work, two kinds of attractors reconstructed based on Taken's reconstruction theorem are discussed. One is the attractors of current pulse data and another is the attractors of the wavelet coefficient of the pulse data analyzed by wavelet transformation.

本文言語	English
ページ	185-189
ページ数	5
出版ステータス	Published - 1995 12 1
外部発表	はい
イベント	Proceedings of the 1995 IEEE 5th International Conference on Conduction and Breakdown in Solid Dielectrics - Leicester, Engl 継続期間: 1995 7 10 → 1995 7 13

Other

Other	Proceedings of the 1995 IEEE 5th International Conference on Conduction and Breakdown in Solid Dielectrics
City	Leicester, Engl
Period	95/7/10 → 95/7/13

ASJC Scopus subject areas

Engineering(all)

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引用スタイル

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T1 - On chaotic aspects of trees

AU - Fujimori, S.

AU - Endoh, T.

AU - Mitsuboshi, K.

AU - Ishiwata, K.

AU - Akasaka, M.

AU - Hiruta, S.

PY - 1995/12/1

Y1 - 1995/12/1

N2 - Branching processes such as the solid degradation process have been difficult to analyzed until recently, with the advent of new methods. In particular, the fractal properties of the tree phenomena have been studied, and its chaotic aspects reported based on Taken's reconstruction theorem, which proved that the attractor of the reconstructed system can conserve the original structure. In this work, two kinds of attractors reconstructed based on Taken's reconstruction theorem are discussed. One is the attractors of current pulse data and another is the attractors of the wavelet coefficient of the pulse data analyzed by wavelet transformation.

AB - Branching processes such as the solid degradation process have been difficult to analyzed until recently, with the advent of new methods. In particular, the fractal properties of the tree phenomena have been studied, and its chaotic aspects reported based on Taken's reconstruction theorem, which proved that the attractor of the reconstructed system can conserve the original structure. In this work, two kinds of attractors reconstructed based on Taken's reconstruction theorem are discussed. One is the attractors of current pulse data and another is the attractors of the wavelet coefficient of the pulse data analyzed by wavelet transformation.

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