Codimension Two Bifurcation Observed in a Phase Converter Circuit
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- KITAJIMA Hiroyuki
- Faculty of Engineering, University of Tokushima
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- YOSHINAGA Tetsuya
- School of Medical Sciences, University of Tokushima
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- KAWAKAMI Hiroshi
- Faculty of Engineering, University of Tokushima
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We investigate bifurcations of the periodic solution observed in a phase converter circuit. The system equations can be considered as a nonlinear coupled system with Duffing's equation and an equation describing a parametric excitation circuit. In this system there are two types of solutions. One is with x = y = 0 which is the same as the solution of Duffing's equation (correspond to uncoupled case), another solution is with xy≠0.We obtain bifurcation sets of both solutions and discuss how does the coupling change the bifurcation structure. From numerical analysis we obtain a codimension two bifurcation which is intersection of double period-doubling bifurcations. Periodic solutions generated by these bifurcations become chaotic states through a cascade of codimension three bifurcations which are intersections of D-type of branching and period-doubling bifurcations.
収録刊行物
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- IEICE transactions on fundamentals of electronics, communications and computer sciences
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IEICE transactions on fundamentals of electronics, communications and computer sciences 79 (10), 1563-1567, 1996-10-25
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詳細情報 詳細情報について
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- CRID
- 1572543027348377216
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- NII論文ID
- 110003216022
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- NII書誌ID
- AA10826239
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- ISSN
- 09168508
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- 本文言語コード
- en
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- データソース種別
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- CiNii Articles