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Abstract HTML Views: 193 PDF Downloads: 157 Total Views/Downloads: 350
Using Routh-Hurwitz criterion and Hopf bifurcation theorem, stability of the equilibrium points and Hopf bifurcation of coupled van der Pol and Duffing oscillators are investigated. The parametric curve corresponding to Hopf bifurcation and the existence region for the limit cycle in the parameter space are derived. The method of multiple time scales is used to deduce the analytical approximation of the limit cycle, and the accuracy of the analytical approximation is verified by direct numerical integration.