一般化破壊のフラクタル的性質

概要

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In this paper a theory of generalized breakdown which has been introduced to seek basic properties of electric discharge and other breakdown phenomena is studied from the point of view of fractal dimension and ε-entropy. Breakdown phenomena have many aspects, and the fractal properties of both phase-extended breakdown and phase-contracted breakdown which is newly introduced in this report in order to take into account of phase aspects are also discussed. Both ε-entropy and fractal dimension of an object decrease, remain unchanged and assume 0 after the generalized partial breakdown, generalized pseudo-partial breakdown and generalized complete breakdown occurred, respectively. The phase-extended breakdown increases its values and the phase-contracted breakdown decreases them.
東海大学の論文