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Computer-aided mode analysis of coupled nonlinear oscillators

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2 Author(s)
Aoun, D. ; Dept. of Control Eng., Sheffield Univ., UK ; Linkens, D.A.

Theoretical advances in the analysis of coupled nonlinear oscillators have been strongly motivated by the mathematical modeling of biomedical systems, particularly the electrical activity of the gastro-intestinal digestive tract. In recent years, a matrix extension of the Krylov-Bogolioubov linearization technique has been developed and applied to a wide range of structures comprising chains, arrays, rings, and tubes. This technique produces complicated stability criteria for the existence of stable limit cycles. A CAD package is described. It solves these criteria for the structures mentioned with an arbitrary number of either third or fifth power conductance van der Pol oscillators coupled mutually

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Circuits and Systems, IEEE Transactions on  (Volume:37 ,  Issue: 2 )