Volume 129, Number 3, February 2020
|Number of page(s)||6|
|Published online||12 March 2020|
Optimizing synchronization in multiplex networks of phase oscillators
1 Department of Mathematics, National Institute of Technology - Durgapur 713209, India
2 Physics and Applied Mathematics Unit, Indian Statistical Institute - Kolkata 700108, India
Received: 17 November 2019
Accepted: 17 February 2020
We present an analytical scheme to achieve optimal synchronization in multiplex networks of frustrated and non-frustrated phase oscillators. We derive a multiplex synchrony alignment function (MSAF) for that purpose, the expression of which consists of structural as well as dynamical information of the layers of the multiplex network. Analyzing the MSAF, a set of frequencies (optimal frequencies) is determined to achieve optimal synchronization in the network. Further, using the scheme, we show that perfect synchronization can be achieved in a layer of the multiplex network for given coupling strength and phase frustration parameters. The analytical scheme presented here has been tested for heterogeneous multiplex networks of frustrated and non-frustrated Kuramoto dynamics.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 89.75.-k – Complex systems
© EPLA, 2020
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