トリーの揺動スペクトル解析

概要

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In this paper tree patterns growing in PMMA are analyzed using the fluctuating spectrum theory proposed by Inoue, and the relationships between the discharge current and the similarity exponent λ (q) are discussed together with the conventional multifractal dimension and the β-multifractal dimension. Results obtained are : In case of the positive current pulses, the similarity exponent λ_q increases with applied time, and for moment order q the exponent λ_q of the current pulses monotonously increases. The fluctuating spectrum has a U-shape characteristic on Lipschitz-Holder exponent α (q) for every tree pattern. An adequate correlation between the growth of the tree and the similarity exponent λ_q is obtained, and the rapid growth of the tree is estimated from the rapid increase of this exponent λ_q. β-multifractal dimension is suitable to estimate the density of tree branches.
東海大学の論文