Mathematical Problems in Engineering 
Volume 2007 (2007), Article ID 85145, 8 pages
doi:10.1155/2007/85145
Research Article

Limit Cycle for the Brusselator by He's Variational Method

Juan Zhang

Department of Applied Mathematics, College of Sciences, Donghua University, 1882 Yan'an Xilu Road, Shanghai 200051, China

Received 10 May 2006; Accepted 5 February 2007

Recommended by Katica R. (Stevanovic) Hedrih

Abstract

He's variational method for finding limit cycles is applied to the Brusselator. The technique developed in this paper is similar to Kantorovitch's method in variational theory. The present theory can be applied not only to weakly nonlinear equations, but also to strongly ones, and the obtained results are valid for the whole solution domain.