Abstract
A delay-differential equation, modeling a bidirectional associative memory (BAM) neural network with five neurons, is considered. Some results of synchronization and bifurcation are exhibited. By Lyapunov functional methods, some sufficient conditions for the absolute synchronization of the system and global attractivity of the trivial solution are established. This synchronization is independent of the size of time delay. Furthermore, delay-induced synchronized periodic solution is given analytically, as well as necessary and sufficient conditions for the synchronized periodic solution by perturbation-incremental scheme (PIS). The main difference in this paper from previous works in the literatures is that delay-induced synchronization is studied quantitatively. Theoretical results are illustrated with numerical simulations.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
