Limit cycles of polynomial Lienard systems via the averaging method

摘要

In this paper we provide an upper bound on the maximum number of limit cycles for a class of generalized polynomial Lienard differential systems (x) over dot = y, (y) over dot = - f(n)(x)y - g(m) (x) with f(n) and g(m) real polynomials of degree n and m respectively, using the fourth order averaging method. (C) 2018 Elsevier Ltd. All rights reserved.