Bifurcation of Limit Cycles of a Class of Piecewise Linear Differential Systems inR4 with Three Zones
نویسنده
چکیده
We study the bifurcation of limit cycles from periodic orbits of a four-dimensional systemwhen the perturbation is piecewise linear with two switching boundaries. Our main result shows that when the parameter is sufficiently small at most, six limit cycles can bifurcate from periodic orbits in a class of asymmetric piecewise linear perturbed systems, and, at most, three limit cycles can bifurcate from periodic orbits in another class of asymmetric piecewise linear perturbed systems. Moreover, there are perturbed systems having six limit cycles. The main technique is the averaging method.
منابع مشابه
Limit cycles for a Class of Continuous Piecewise Linear differential Systems with Three Zones
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