We study the bifurcation of limit cycles from the periodic orbits of a four-dimensional center in a class of piecewise linear differential systems with two zones. Our main result shows that three is an upper bound for the number of limit cycles that bifurcate from a center, up to first order expansion of the displacement function. Moreover, this upper bound is reached. The main technique used is the averaging method. © 2011 Published by Elsevier B.V. on behalf of IMACS.
- Averaging theory
- Limit cycles
- Piecewise linear systems with two zones