Existence and global stability of periodic solution for delayed discrete high-order Hopfield-type neural networks
- Resource Type
- article
- Authors
- Hong Xiang; Ke-Ming Yan; Bai-Yan Wang
- Source
- Discrete Dynamics in Nature and Society, Vol 2005, Iss 3, Pp 281-297 (2005)
- Subject
- Mathematics
QA1-939
- Language
- English
- ISSN
- 1026-0226
1607-887X
By using coincidence degree theory as well as a priori estimates and Lyapunov functional, we study the existence and global stability of periodic solution for discrete delayed high-order Hopfield-type neural networks. We obtain some easily verifiable sufficient conditions to ensure that there exists a unique periodic solution, and all theirs solutions converge to such a periodic solution.