Limit cycles of piecewise smooth differential equations on two dimensional torus
In this paper, the authors study the limit cycles of some classes of piecewise smooth vector fields defined on the two dimensional torus. Considering these vector fields, the authors characterize the global dynamics by studying the upper bound of number of limit cycles, the existence of non-trivial recurrence and a continuum of periodic orbits and also present a family of piecewise smooth vector fields that posses a finite number of fold points proving that for any \(2k\) number of limit cycles there exists a piecewise smooth vector field in this family that presents \(k\) limit cycles.
scientific article; zbMATH DE number 6973925