Bifurcation of modes in three-coupled oscillators with the increase of nonlinearity
説明
In this paper we investigate bifurcations of modes in three-coupled oscillators with hard and soft nonlinearity in relation to the increase of parameter /spl epsiv/, showing the degree of nonlinearity. The stability of modes in such a system for small /spl epsiv/ was already analyzed via averaging theory. Therefore, we start from the stable modes for small /spl epsiv/, and increase /spl epsiv/ gradually to observe bifurcations of modes. Through numerical analysis using the shooting method, Runge Kutta method and fast Fourier transforms, we have clarified how the modes (the same-phase, the reverse-phase, the double and triple modes) which exist for small /spl epsiv/, bifurcate when /spl epsiv/ becomes larger.
収録刊行物
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- 2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353)
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2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353) 5 V-309, 2003-06-25
IEEE