Back to Search
Start Over
One node driving synchronisation
- Source :
- Chengwei Wang, Celso Grebogi and Murilo S. Baptista. One node driving synchronisation. Sci. Rep. 5 (2015)
- Publication Year :
- 2015
-
Abstract
- Abrupt changes of behaviour in complex networks can be triggered by a single node. This work describes the dynamical fundamentals of how the behaviour of one node affects the whole network formed by coupled phase-oscillators with heterogeneous coupling strengths. The synchronisation of phase-oscillators is independent of the distribution of the natural frequencies, weakly depends on the network size, but highly depends on only one key oscillator whose ratio between its natural frequency in a rotating frame and its coupling strength is maximum. This result is based on a novel method to calculate the critical coupling strength with which the phase-oscillators emerge into frequency synchronisation. In addition, we put forward an analytical method to approximately calculate the phase-angles for the synchronous oscillators.
Details
- Database :
- arXiv
- Journal :
- Chengwei Wang, Celso Grebogi and Murilo S. Baptista. One node driving synchronisation. Sci. Rep. 5 (2015)
- Publication Type :
- Report
- Accession number :
- edsarx.1509.07389
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1038/srep18091