Journal of Applied Mathematics
Volume 2013 (2013), Article ID 621957, 7 pages
http://dx.doi.org/10.1155/2013/621957
Research Article

Stability Analysis of Complex-Valued Nonlinear Differential System

Tao Fang1,2 and Jitao Sun1

1Department of Mathematics, Tongji University, Shanghai 200092, China
2School of Fundamental Studies, Shanghai University of Engineering Science, Shanghai 201620, China

Received 18 January 2013; Accepted 14 May 2013

Academic Editor: Kang Liu

Copyright © 2013 Tao Fang and Jitao Sun. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper studies the stability of complex-valued nonlinear differential system. The stability criteria of complex-valued nonlinear autonomous system are established. For the general complex-valued nonlinear non-autonomous system, the comparison principle in the context of complex fields is given. Those derived stability criteria not only provide a new method to analyze complex-valued differential system, but also greatly reduce the complexity of analysis and computation.