Limit cycles of the generalized polynomial Lienard differential equations

作者：Llibre Jaume^*; Mereu Ana Cristina; Teixeira Marco Antonio

来源：Mathematical Proceedings of the Cambridge Philosophical Society, 2010, 148(02): 363-383.

DOI：10.1017/S0305004109990193

We apply the averaging theory of first, second and third order to the class of generalized polynomial Lienard differential equations. Our main result shows that for any n, m >= 1 there are differential equations of the form x + f(x)(x) Over dot + g(x) = 0, with f and g polynomials of degree n and m respectively, having at least [(n+m-1)/2] limit cycles, where [] denotes the integer part function.

• 出版日期2010-3