Bifurcations of multiple relaxation oscillations in polynomial Liénard equations
Bifurcations of multiple relaxation oscillations in polynomial Liénard equations
In this paper, we prove the presence of limit cycles of given multiplicity, together with a complete unfolding, in families of (singularly perturbed) polynomial Liénard equations. The obtained limit cycles are relaxation oscillations. Both classical Liénard equations and generalized Liénard equations are treated.