Limit cycles in a switching Liénard system
This paper is concerned with a class of quadratic switching Liénard systems with three switching lines. The authors computed Lyapunov constants to study the center conditions and bifurcation of limit cycles of a singular point \((0,0)\). They offered an algorithm to compute Lyapunov constants. Based on the algorithm, they computed the first four Lyapunov constants to obtain center conditions. Finally, they constructed a perturbed quadratic switching Liénard system according to the center condition and computed the Lyapunov constants to prove the existence of six limit cycles around \((0,0)\). This is a new low bound on the maximal number of small-amplitude limit cycles for the quadratic switching Liénard systems.
scientific article; zbMATH DE number 7613232
scientific article