Highly Influential

3 Excerpts

- Published 2012 in I. J. Bifurcation and Chaos

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.

@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}
}