Limit cycles in discontinuous classical Lienard equations

作者：Martins Ricardo Miranda^*; Mereu Ana Cristina

来源：Nonlinear Analysis: Real World Applications , 2014, 20: 67-73.

DOI：10.1016/j.nonrwa.2014.04.003

• Limit cycles
• Lienard systems
• Averaging theory

We study the number of limit cycles which can bifurcate from the periodic orbits of a linear center perturbed by nonlinear functions inside the class of all classical polynomial Lienard differential equations allowing discontinuities. %26lt;br%26gt;In particular our results show that for any n %26gt;= 1 there are differential equations of the form (x) over dot+f (x)(x) over dot + x+sgn( (x) over dot)g(x) = 0, with f and g polynomials of degree n and 1 respectively, having [n/2] 1 limit cycles, where [.] denotes the integer part function.

• 出版日期2014-12