Anti-periodic mild attractor of delayed hopfield neural networks systems with reaction-diffusion terms

作者：Chen, Zhang^*; Fu, Xilin; Zhao, Donghua

来源：Neurocomputing, 2013, 99: 372-380.

DOI：10.1016/j.neucom.2012.07.022

• Reaction-diffusion neural networks
• Time-varying delays
• Anti-periodic mild solution
• Global exponential stability

In this paper, reaction-diffusion Hopfield neural networks systems with time-varying delays and Dirichlet boundary conditions are investigated. The theorems on existence and global exponential stability of anti-periodic mild solution are established. Moreover, theoretical results further show that diffusion terms contribute to existence and stabilization of anti-periodic mild solution. Finally, an illustrative example and numerical simulations are given to show effectiveness of results in this paper.

• 出版日期2013-1-1
• 单位山东师范大学; 复旦大学; 山东大学