| Full text | |
| Author(s): |
Llibre, Jaume
;
Mereu, Ana Cristina
;
Teixeira, Marco Antonio
Total Authors: 3
|
| Document type: | Journal article |
| Source: | MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY; v. 148, p. 21-pg., 2010-03-01. |
| Abstract | |
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. (AU) | |
| FAPESP's process: | 07/06896-5 - Geometry of control, dynamical and stochastic systems |
| Grantee: | Luiz Antonio Barrera San Martin |
| Support Opportunities: | Research Projects - Thematic Grants |