Bifurcation control in a small-world network model via TDFC
Authors
Lina Ma, Dawei Ding, Tianren Cao, Mengxi Wang
Corresponding Author
Lina Ma
Available Online April 2015.
- DOI
- 10.2991/ameii-15.2015.228How to use a DOI?
- Keywords
- Small world network;Time-delayed feedback control; Hopf bifurcation
- Abstract
In this paper, we analyze Hopf bifurcation phenomenon in a nonlinear small-world network model with time delay and fixing probability.By choosing time-delay as a bifurcation parameter, we obtain that the model exhibits of Hopf bifurcation when time delay passes through a critical value. In order to control the undesirable Hopf bifurcation, a time-delayed feedback control strategy is proposed. By choosing feedback parameter properly, it shows that the onset of Hopf bifurcation has been postponed without changing the original equilibrium point of the system.Finally, numerical simulations are given to verify the theoretical results.
- Copyright
- © 2015, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Lina Ma AU - Dawei Ding AU - Tianren Cao AU - Mengxi Wang PY - 2015/04 DA - 2015/04 TI - Bifurcation control in a small-world network model via TDFC BT - Proceedings of the International Conference on Advances in Mechanical Engineering and Industrial Informatics PB - Atlantis Press SP - 1232 EP - 1237 SN - 2352-5401 UR - https://doi.org/10.2991/ameii-15.2015.228 DO - 10.2991/ameii-15.2015.228 ID - Ma2015/04 ER -