Explosion of Strange Attractors Exhibited by Duffing's Equation

概要

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Recently chaotic behavior in deterministic systems attracts attention of researchers in various fields. By using analog and digital computers, the author has long been engaged himself in the investigation on this kind of motion exhibited by Duffing's equation and has called the phenomenon the chaotically transitional process. The chaotically transitional process is attributed to both the small uncertain factors in the physical system and the global structure of the solutions of the equation. This paper also deals with chaotically transitional processes exhibited by Duffing's equation. The results obtained in the series of our reports and the unsolved problems developed from them are summarized. Special attention is directed towards the transition of the processes under the variation of the system parameter. The explosion of the strange attractor, i. e., an interesting type of transition from strange to strange attractor has been made clear.
核融合科学研究所の論文