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AN ASYMPTOTIC ANALYSIS OF THE VAN DER POL DELAY DIFFERENTIAL EQUATION

AN ASYMPTOTIC ANALYSIS OF THE VAN DER POL DELAY DIFFERENTIAL EQUATION,STANCA M. CIUPE,PATRICK W. NELSON

AN ASYMPTOTIC ANALYSIS OF THE VAN DER POL DELAY DIFFERENTIAL EQUATION  
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A nonlinear delay difierential equation of van der Pol type is con- sidered. Local stability conditions are derived together with the existence of a sequence of Hopf bifurcations. The direction and stability of the bifurcating periodic solutions is obtained using the center manifold theory. By perturba- tion analysis techniques we obtain periodic solutions for both a weak and a strong feedback equation. The efiect of a delay in the promotion or suppression of limit cycle oscillations is investigated.
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