Synchronized States Observed in Coupled Four Oscillators
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概要
- 論文の詳細を見る
In this paper, we examine oscillatory modes generated by the Hopf bifurcations of equilibrium points except for the origin in a system of coupled four oscillators. (The bifurcation analyses of the origin for many coupled oscillators were already done.) The Hopf bifurcations of the equilibrium points with strong symmetrical property and the generated oscillatory modes are classified. We observe four-phase, in-phase and a pair of anti-phase synchronized states. Even in a system of four coupled oscillators, we discover the existence of a stable three-phase oscillation. By the numerical bifurcation analysis of generated periodic oscillations we find out successive period-doubling bifurcations as the route to chaos and show some of them are symmetry-breaking bifurcations. A a result of the symmetry-breaking period-doubling bifurcations, a periodic solution with complete synchronization becomes a chaotic solution with phase synchronization.
- 社団法人電子情報通信学会の論文
- 2005-03-01
著者
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Hattori T
Faculty Of Agriculture Kyoto Prefectural University
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KAWAKAMI Hiroshi
Faculty of Engineering, The University of Tokushima
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Hattori T
Faculty Of Engineering Kagawa University
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Hattori Tetsuo
Faculty Of Education Kagawa University
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Kitajima Hiroyuki
Faculty Of Engineering Kagawa University
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Kawakami Hiroshi
Faculty Of Engineering Kyushu University.
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Kawakami Hiroshi
Faculty Of Engineering Tokushima University
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Kitajima H
Faculty of Engineering, Kagawa University
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Kawakami H
Faculty of Engineering, Tokushima University
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Kitajima Hiroyuki
Faculty of Engineering, Kagawa University
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