Electron. J. Diff. Eqns., Vol. 2005(2005), No. 61, pp. 1-7.

Periodic solutions for planar systems with time-varying delays

Chuangxia Huang, Lihong Huang, Yimin Meng

Abstract:
This paper concerns delay differential systems that can be regarded as a model of two-neuron artificial neural network with delayed feedback. Some interesting results are obtained for the existence of a periodic solution for the system. Our approach is based on the continuation theorem of coincidence degree, and a-priori estimates of the periodic solutions.

Submitted September 22, 2004. Published June 10, 2005.
Math Subject Classifications: 34K13, 92B20.
Key Words: Differential system; neural network; periodic solution.

Show me the PDF file (188K), TEX file, and other files for this article.

Chuangxia Huang
College of Mathematics and Econometrics
Hunan University, Changsha, Hunan 410082, China
email: huangchuangxia@sina.com
Lihong Huang
College of Mathematics and Econometrics
Hunan University, Changsha, Hunan 410082, China
email: lhhuang@hnu.cn
Yimin Meng
College of Mathematics and Econometrics
Hunan University, Changsha, Hunan 410082, China
email: mym1986cs@sina.com

Return to the EJDE web page