|
|
| |
| Delay Induced Hopf Bifurcation of Small-World Networks |
| |
Citation： |
Zhang CHEN,Donghua ZHAO,Jiong RUAN.Delay Induced Hopf Bifurcation of Small-World Networks[J].Chinese Annals of Mathematics B,2007,28(4):453~462 |
| Page view： 1129
Net amount： 920 |
Authors： |
Zhang CHEN; Donghua ZHAO;Jiong RUAN |
|
|
| Abstract： |
In this paper, the stability and the Hopf bifurcation of small-world networks with time delay are studied. By analyzing the change of delay, we obtain several sufficient conditions on stable and unstable properties. When the delay passes a critical value, a Hopf bifurcation may appear. Furthermore, the direction and the stability of bifurcating periodic solutions are investigated by the normal form theory and the center manifold reduction. At last, by numerical simulations, we further illustrate the effectiveness of theorems in this paper. |
Keywords： |
Small-world networks, Time delay, Hopf bifurcation |
Classification： |
34K15 |
|
|
Download PDF Full-Text
|
|
|
|
