The homotopy analysis method and the Lienard equation

Details The homotopy analysis method and the Lienard equation The homotopy analysis method and the Lienard equation

2008-05-26

arxiv.org/abs/0805.3916v1

Nonlinear Sciences

Pattern Formation and Solitons

16 pages, 9 figures, 1 table

Scientific paper

In this work, Lienard equations are considered. The limit cycles of these
systems are studied by applying the homotopy analysis method. The amplitude and
frequency obtained with this methodology are in good agreement with those
calculated by computational methods. This puts in evidence that the homotopy
analysis method is an useful tool to solve nonlinear differential equations.

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