Jalan, S;
Kumar, A;
Zaikin, A;
Kurths, J;
(2016)
Interplay of degree correlations and cluster synchronization.
Physical Review E
, 94
(6)
, Article 062202. 10.1103/PhysRevE.94.062202.
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Abstract
We study the evolution of coupled chaotic dynamics on networks and investigate the role of degree-degree correlation in the networks' cluster synchronizability. We find that an increase in the disassortativity can lead to an increase or a decrease in the cluster synchronizability depending on the degree distribution and average connectivity of the network. Networks with heterogeneous degree distribution exhibit significant changes in cluster synchronizability as well as in the phenomena behind cluster synchronization as compared to those of homogeneous networks. Interestingly, cluster synchronizability of a network may be very different from global synchronizability due to the presence of the driven phenomenon behind the cluster formation. Furthermore, we show how degeneracy at the zero eigenvalues provides an understanding of the occurrence of the driven phenomenon behind the synchronization in disassortative networks. The results demonstrate the importance of degree-degree correlations in determining cluster synchronization behavior of complex networks and hence have potential applications in understanding and predicting dynamical behavior of complex systems ranging from brain to social systems.
Type: | Article |
---|---|
Title: | Interplay of degree correlations and cluster synchronization |
Open access status: | An open access version is available from UCL Discovery |
DOI: | 10.1103/PhysRevE.94.062202 |
Publisher version: | http://dx.doi.org/10.1103/PhysRevE.94.062202 |
Language: | English |
Additional information: | Copyright © 2016 American Physical Society. |
Keywords: | science & technology, physical sciences, physics, fluids & plasmas, physics, mathematical, physics, coupled map lattices, complex networks, spatiotemporal chaos, logistic map |
UCL classification: | UCL UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Population Health Sciences > UCL EGA Institute for Womens Health UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Population Health Sciences > UCL EGA Institute for Womens Health > Womens Cancer |
URI: | https://discovery.ucl.ac.uk/id/eprint/1534349 |
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