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nlin.PS2008
The homotopy analysis method and the Lienard equation
Saied Abbasbandy, Jose-Luis Lopez, Ricardo Lopez-Ruiz
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 th…
nlin.PS2002★ 6 cited
Number and Amplitude of Limit Cycles emerging from {\it Topologically Equivalent} Perturbed Centers
Jose-Luis Lopez, Ricardo Lopez-Ruiz
We consider three examples of weekly perturbed centers which do not have {\it geometrical equivalence}: a linear center, a degenerate center and a non-hamiltonian center. In each c…
nlin.PS2002
Bifurcation Curves of Limit Cycles in some Lienard Systems
Ricardo Lopez-Ruiz, Jose-Luis Lopez
Lienard systems of the form , with f(x) an even continous function, are considered. The bifurcation curves of limit cycles are calculated exactly in the…