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

Research output: Contribution to conference › Paper › peer-review

Abstract

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.

Original language	English
Pages	185-189
Number of pages	5
Publication status	Published - 1995 Dec 1
Externally published	Yes
Event	Proceedings of the 1995 IEEE 5th International Conference on Conduction and Breakdown in Solid Dielectrics - Leicester, Engl Duration: 1995 Jul 10 → 1995 Jul 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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title = "On chaotic aspects of trees",

abstract = "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.",

author = "S. Fujimori and T. Endoh and K. Mitsuboshi and K. Ishiwata and M. Akasaka and S. Hiruta",

year = "1995",

month = dec,

day = "1",

language = "English",

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note = "Proceedings of the 1995 IEEE 5th International Conference on Conduction and Breakdown in Solid Dielectrics ; Conference date: 10-07-1995 Through 13-07-1995",

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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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T2 - Proceedings of the 1995 IEEE 5th International Conference on Conduction and Breakdown in Solid Dielectrics

Y2 - 10 July 1995 through 13 July 1995

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