Computer-aided mode analysis of coupled nonlinear oscillators

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