Small amplitude limit cycles for the polynomial Liénard system |
| |
Authors: | Maciej Borodzik |
| |
Institution: | Institute of Mathematics, University of Warsaw, ul. Banacha 2, 02-097 Warsaw, Poland |
| |
Abstract: | We estimate for the maximal number of limit cycles bifurcating from a focus for the Liénard equation , where f and g are polynomials of degree m and n respectively. These estimates are quadratic in m and n and improve the existing bounds. In the proof we use methods of complex algebraic geometry to bound the number of double points of a rational affine curve. |
| |
Keywords: | primary 45C05 secondary 37G15 |
本文献已被 ScienceDirect 等数据库收录! |