ヒステリシス抵抗を含む回路の族のカオスに関連した現象について

概要

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This article discusses chaos and related phenomena from a circuit family consisting of R, L, C, -R (linear negative resistor), and one hysteresis resistor. This circuit family is described by a canonical form of n-dimensional piecewise-linear equation containing a small parameter ε. If ε is sufficiently small the analysis is returned into a hysteretic connecting linear systems. On this simplified system, following results are shown : (1) For three dimensional case, a chaos generating condition (in Lasota & Yorke's sense) is rigorously derived. (2) For a four dimensional example, two dimensional Poincare map is rigorously formulated and an interesting hysteretic transitional phenomenon between torus and chaos is demonstrated.
湘南工科大学の論文
1988-03-26