Abstract
We give sufficient conditions for the existence of one or two limit cycles of singular Lienard systems through the construction of a Poincare–Bendixson domain. With the help of the theory of rotated vector fields,we develop a method to compute bifurcation value at Saddle-node bifurcation of limit cycles and homoclinic or symmetric heteroclinic bifurcations. We also present application examples and prove the existence of duck cycles.
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