Forma, Vol. 24 (No. 1), pp. 29-35, 2009
Original Paper

Generalized Method to Control Coupled-oscillator System Using Multi-linear Feedback

Takeshi Kano* and Shuichi Kinoshita

Graduate School of Frontier Biosciences, Osaka University, Suita 565-0871, Japan
*E-mail address:

(Received November 28, 2008; Accepted January 21, 2009)

Abstract. Recently, we have proposed a method to control the dynamical behavior of coupled-oscillator system by regulating the coupling function through multi-linear feedback. In the present paper, we extend our previous theory such that it is even applicable to general systems where the coupling strengths, the observables, and the applied feedback signals are not uniform. This method does not require an individual output from each oscillator but only needs the output signals obtained from all the measurement nodes, and hence it has wide applicability. The validity of the method is confirmed through a simulation using a Bonhoeffer-van der Pol model.

Keywords: Coupled-Oscillator System, Feedback Control, Phase Model, Coupling Function

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