Abstract
In this paper we analyze the second-order Kuramoto model in the presence of a positive correlation between the heterogeneity of the connections and the natural frequencies in scale-free networks. We numerically show that discontinuous transitions emerge not just in disassortative but also in strongly assortative networks, in contrast with the first-order model. We also find that the effect of assortativity on network synchronization can be compensated by adjusting the phase damping. Our results show that it is possible to control collective behavior of damped Kuramoto oscillators by tuning the network structure or by adjusting the dissipation related to the phases' movement.
| Original language | English |
|---|---|
| Article number | 052805 |
| Number of pages | 6 |
| Journal | Physical Review. E, Statistical, Nonlinear and Soft Matter Physics |
| Volume | 91 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 11 May 2015 |
Bibliographical note
ACKNOWLEDGMENTST.P. would like to acknowledge FAPESP (No. 2012/22160-7) and IRTG 1740. P.J. would like to acknowledge China Scholarship Council (CSC) scholarship. F.A.R. would like to acknowledge CNPq (No. 305940/2010-4), FAPESP (No. 2010/19440- 2), and IRTG 1740 for the financial support given to this research. J.K. would like to acknowledge IRTG 1740 (DFG and FAPESP) for the sponsorship provided.
Keywords
- scale-free networks
- complex networks
- phase oscillators
- synchronization
- stability
- transition
- paradign
- inertia