Existence and global exponential stability of periodic solution of a class of neural networks with impulses

• DOI: 10.1016/j.chaos.2005.04.021
• Publication Date: 2005-06-24T13:42:03Z
• Authors: Yongkun Li; Wenya Xing; Linghong Lu
• Keywords: Degree (music); Continuation

Abstract Sufficient conditions are obtained for the existence and global exponential stability of a unique periodic solution of a class of neural networks with variable and unbounded delays and impulses by using Mawhin’s continuation theorem of coincidence degree theory and by constructing Lyapunov functions.