摘要
本文讨论了一类时滞反应扩散神经网络模型.利用时滞来控制系统的稳定性、分岔和Turing斑图.研究结果表明,在一定条件下,时滞不仅能影响系统的稳定性和周期震荡性,还能影响系统的Turing不稳定性.数值模拟验证了理论分析的正确性,同时还说明了时滞能改变斑图的结构.
This paper discusses a class of reaction-diffusion neural networks model. The stability, bifurcation and Turing pattern are studied by using the time-delay. The theoretical analysis shows that the time-delay can affect not only the stability and periodicity, but also affects Turing instability. Numerical simulations are given to illustrate the effectiveness of the analytical results and validate the alteration of Turing pattern structures by the time-delay.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2013年第3期288-298,共11页
Control Theory & Applications
基金
国家自然科学基金面上基金资助项目(61174155)
国家自然科学基金重点基金资助项目(11032009)
