Stability Switches in a Cellular Neural Network with Multiple Delays
In order to analyze the effect of timedelay on the stability of the cellular neural network, a cellular neural network with three delays is considered Considering delay as parameter, the stability of the system is investigated Firstly, the resulting system with one delay is analyzed By analyzing it...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | zho |
| Published: |
Harbin University of Science and Technology Publications
2019-12-01
|
| Series: | Journal of Harbin University of Science and Technology |
| Subjects: | |
| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1812 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | In order to analyze the effect of timedelay on the stability of the cellular neural network, a cellular neural network with three delays is considered Considering delay as parameter, the stability of the system is investigated Firstly, the resulting system with one delay is analyzed By analyzing its associated characteristic equation, local stability and the existence of Hopf bifurcation of the system are investigated Secondly, the resulting system with three delays is analyzed It is found that the delays can lead the system dynamic behavior to exhibit stability switches, and Hopf bifurcation occurs when the delay crosses some critical value Finally, numerical simulations are given to illustrate the obtained results and numerical simulations also show that in the system there exist the synchronous (asynchronous) periodic oscillations |
|---|---|
| ISSN: | 1007-2683 |