The homotopy Analysis Method in bifurcation Analysis of Delay differential equations

Abstract

In this paper we apply the homotopy analysis method (HAM) to study the van der Pol equation with a linear delayed feedback. The paper focuses on the calculation of periodic solutions and associated bifurcations, Hopf, double Hopf, Neimark-Sacker, etc. In particular we discuss the behavior of the systems in the neighborhoods of double Hopf points. We demonstrate the applicability of HAM to the analysis of bifurcation and stability.

DOI: 10.1142/S0218127412300248

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Cite this paper

@article{Bel2012TheHA, title={The homotopy Analysis Method in bifurcation Analysis of Delay differential equations}, author={Andrea Bel and Walter Reartes}, journal={I. J. Bifurcation and Chaos}, year={2012}, volume={22} }