Proceedings of the International Conference on Advances in Mechanical Engineering and Industrial Informatics

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/).

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Volume Title
Proceedings of the International Conference on Advances in Mechanical Engineering and Industrial Informatics
Series
Advances in Engineering Research
Publication Date
April 2015
ISBN
10.2991/ameii-15.2015.228
ISSN
2352-5401
DOI
10.2991/ameii-15.2015.228How to use a DOI?
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  -