# Limit cycles of the classical Liénard differential systems

Date:
04.04.16
Times:
15:30
Place:
UAB - Dept. Matemàtiques (C1/-128)
Speaker:
Jaume Llibre
University:
Universitat Autònoma de Barcelona

#### Abstract:

In 1977 Lins Neto, de Melo and Pugh [Lectures Notes in Math. 597, 335-357] conjectured that the classical Liénard system $x'=y-F(x), y'= -x,$ with $F(x)$ a real polynomial of degree $n$, has at most $[(n-1)/2]$ limit cycles, where $[ . ]$ denotes the integer part function. In this talk we summarize what is known and what is still open on this conjecture.

This talk is based in a joint paper with Xiang Zhang.