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Limit cycles of piecewise linear dynamical systems with three zones and lateral systems
Qianqian Zhao,Jiang Yu
Keywords:Y-shape systems; Newton-Kantorovich Theorem; limit cycle; lateral systems
      In this paper, we give some evidences what causes more limit cycles for piecewise dynamical systems. We say, the angles or the number of zones are critical points. We study a linear Y-shape system and a linear lateral system, and prove that they has four and five crossing limit cycles by using the Newton-Kantorovich Theorem, respectively.