Symmetrical properties and bifurcations of the periodic solutions for a hybridly coupled oscillator

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Univ of Tokushima, Tokushima-shi, Japan ^{[1
]}

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IEICE Trans Fund Electron Commun Comput Sci | / 12卷 / 1816-1821期

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Bifurcation (mathematics) - Mathematical models;

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摘要：

In this paper we study the bifurcations of the periodic solutions induced by the symmetrical properties of a system of hybridly coupled oscillators of the Rayleigh type. By analog with the results concerning with the equilibria, we classify the periodic solutions according to their spatial and temporal symmetries. We discuss the possible bifurcations of each type of periodic solution. Finally we analyze the phase portraits of the system when the parameters vary.

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