Limit Cycles and Invariant Curves in a Class of Switching Systems with Degree Four

الملخص EN

In this paper, a class of switching systems which have an invariant conic x2+cy2=1,c∈R, is investigated.

Half attracting invariant conic x2+cy2=1,c∈R, is found in switching systems.

The coexistence of small-amplitude limit cycles, large amplitude limit cycles, and invariant algebraic curves under perturbations of the coefficients of the systems is proved.