Limit cycles of Discontinuous Piecewise Linear differential Systems

Abstract

We study the bifurcation of limit cycles from the periodic orbits of a 2−dimensional (respectively 4−dimensional) linear center in R perturbed inside a class of discontinuous piecewise linear differential systems. Our main result shows that at most 1 (respectively 3) limit cycle can bifurcate up to first-order expansion of the displacement function with… (More)
DOI: 10.1142/S0218127411030441

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