| Issue |
EPL
Volume 125, Number 1, January 2019
|
|
|---|---|---|
| Article Number | 10011 | |
| Number of page(s) | 7 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/125/10011 | |
| Published online | 06 February 2019 | |
Synchronization in dynamic network using threshold control approach
Physics and Applied Mathematics Unit, Indian Statistical Institute - 203 B. T. Road, Kolkata-700108, India
Received: 13 November 2018
Accepted: 3 January 2019
Synchronization in time-varying (i.e., dynamic) network has been explored using different types of couplings during the last two decades. In this paper, we consider a dynamic network where the spatial position of each node decides the number of nodes with which it interacts. We analytically derive the density-dependent threshold of coupling strength for synchrony using linear stability analysis and numerically verify the obtained results. We use two paradigmatic chaotic systems, namely the Rössler and Lorenz models to affirm our claims.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 05.90.+m – Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems (restricted to new topics in section 05)
© EPLA, 2019
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