Volume 114, Number 4, May 2016
|Number of page(s)||6|
|Published online||14 June 2016|
Enhancing dynamical robustness in aging networks of coupled nonlinear oscillators
1 School of Mathematics and Statistics, Huazhong University of Science and Technology - Wuhan 430074, China
2 Center for Mathematical Sciences, Huazhong University of Science and Technology - Wuhan 430074, China
3 Department of Physics, Hong Kong Baptist University - Kowloon Tong, Hong Kong SAR, China
4 State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology - Wuhan 430074, China
5 Department of Applied Mathematics, Illinois Institute of Technology - Chicago, IL 60616, USA
6 Potsdam Institute for Climate Impact Research - Telegraphenberg, Potsdam D-14415, Germany
7 Institute for Complex Systems and Mathematical Biology, University of Aberdeen - Aberdeen AB24 3FX, UK
8 Department of Control Theory, Nizhny Novgorod State University - Gagarin Avenue 23, 606950 Nizhny Novgorod, Russia
Received: 9 April 2016
Accepted: 25 May 2016
We propose an effective method to enhance the dynamical robustness of networks of diffusively coupled oscillators experiencing aging transition. By introducing a new control parameter into the normal diffusive coupling, we demonstrate that the dynamical robustness of coupled oscillator networks can be efficiently improved by enhancing the tolerance of dynamic activity in the network to inactivation or deterioration of the individual oscillators. Even a tiny deviation from the normal diffusive coupling greatly strengthens the robustness of networks. Particularly, the strong coupling in our scheme is shown to be in favor of the dynamic activity, which is in sharp contrast to the normal form of diffusive coupling with the tendency to spoil the dynamical robustness. Our proposed approach serves as a rather simple and efficient way to recover dynamic activity in networks of diffusively coupled oscillators that has been lost due to some inactivated or damaged oscillator components.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 05.45.Xt – Synchronization; coupled oscillators / 02.30.Oz – Bifurcation theory
© EPLA, 2016
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