ARBITRARY NUMBER OF LIMIT CYCLES FOR PLANAR DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH TWO ZONES

作者：Braga Denis De Carvalho^*; Mello Luis Fernando

来源：Electronic Journal of Differential Equations, 2015, 228.

• Piecewise linear differential system
• limit cycle
• non-smooth differential system

For any given positive integer n we show the existence of a class of discontinuous piecewise linear differential systems with two zones in the plane having exactly n hyperbolic limit cycles. Moreover, all the points on the separation boundary between the two zones are of sewing type, except the origin which is the only equilibrium point.

• 出版日期2015-9-2