Hybrid control of Hopf bifurcation in a fractional order small-world network model

DOI

10.2991/ameii-15.2015.227How to use a DOI?

Keywords

Fractional order system; Small world network; Hybrid control; Hopf bifurcation

Abstract

In this paper, a hybrid control strategy is applied to control the Hopf bifurcation in a fractional order small-world network model. By choosing time-delay as a bifurcation parameter and analyzing the associated characteristic equation, we prove that the model exhibits Hopf bifurcation when time delay passes through a critical value. In order to control the undesirable Hopf bifurcation, a hybrid control strategy is proposed. By adjusting the control parameters of the strategy, it shows that the onset of Hopf bifurcation has been postponed without changing the original equilibrium point of the system. Finally, a numerical simulation is presented 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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TY  - CONF
AU  - Lina Ma
AU  - Xiuli Zhang
AU  - Dawei Ding
PY  - 2015/04
DA  - 2015/04
TI  - Hybrid control of Hopf bifurcation in a fractional order small-world network model
BT  - Proceedings of the International Conference on Advances in Mechanical Engineering and Industrial Informatics
PB  - Atlantis Press
SP  - 1226
EP  - 1231
SN  - 2352-5401
UR  - https://doi.org/10.2991/ameii-15.2015.227
DO  - 10.2991/ameii-15.2015.227
ID  - Ma2015/04
ER  -