Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
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概要
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The general stability theory of the synchronized motions of the coupled-oscillator systems is developed with the use of the extended Lyapunov matrix approach. We give the explicit formula for a stability parameter of the synchronized state Ψ_<unif>. When the coupling strength is weaken, the coupled system may exhibit several types of non-synchronized motion. in particular, if Ψ_<unif> is chaotic, we always get a transition from chaotic Ψ_<unif> to a certain non-uniform state and finally the non-uniform chaos. Details associated with such transition are investigated for the coupled Lorenz model. As an application of the theory, we propose a new experimental method to directly measure the positive Lyapunov exponent of intrinsic chaos in reaction systems.
- 理論物理学刊行会の論文
- 1983-01-25
著者
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Yamada Tomoji
Department Of Physics Kyushu Institute Of Technology
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Yamada Tomoji
Department Of Applied Science Faculty Of Engineering Kyushu University
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Fujisaka Hirokazu
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
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Fujisaka Hirokazu
Department Of Physics Kagoshima University
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Yamada Tomoji
Department Of Applied Physics Faculty Of Engineering Kyushu University
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