school of mathematical sciences, shanghai jiaotong university and school of mathematical sciences, shanghai jiaotong university
Abstract:
In this paper, we give some evidences what cause more limit cycles for piecewise dynamical systems. We say, the angles or the number of zones are critical points. We study an example of linear lateral systems and an example of linear Y-shape systems, and prove that they have five and four crossing limit cycles by using Newton-Kantorovich Theorem, respectively.