NDLI: Multivariate analysis of spatially heterogeneous phase synchronisation in complex systems: application to self-organised control of material flows in networks

Content Provider	Springer Nature Link
Author	Donner, R.
Copyright Year	2008
Abstract	Networks of interacting components are a class of complex systems that has attracted considerable interest over the last decades. In particular, if the dynamics of the autonomous components is characterised by an oscillatory behaviour, different types of synchronisation can be observed in dependence on the type and strength of interactions. In this contribution, we study the transition from non-synchronised to synchronised phase dynamics in complex networks. The most common approach to quantify the degree of phase synchronisation in such systems is the consideration of measures of phase coherence which are averaged over all pairs of interacting components. However, this approach implicitly assumes a spatially homogeneous synchronisation process, which is typically not present in complex networks. As a potential alternative, two novel methods of multivariate phase synchronisation analysis are considered: synchronisation cluster analysis (SCA) and the linear variance decay (LVD) dimension method. The strengths and weaknesses of the traditional as well as both new approaches are briefly illustrated for a Kuramoto model with long-range coupling. As a practical application, we study how spatial heterogeneity influences the transition to phase synchronisation in traffic networks where intersecting material flows are subjected to a self-organised decentralised control. We find that the network performance and the degree of phase synchronisation are closely related to each other and decrease significantly in the case of structural heterogeneities. The influences of the different parameters of our control approach on the synchronisation process are systematically studied, yielding a sequence of Arnold tongues which correspond to different locking modes.
Starting Page	349
Ending Page	361
Page Count	13
File Format	PDF
ISSN	14346028
Journal	The European Physical Journal B
Volume Number	63
Issue Number	3
e-ISSN	14346036
Language	English
Publisher	EDP Sciences
Publisher Date	2008-04-11
Publisher Place	Les Ulis
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Condensed Matter Physics Complexity Fluids Solid State Physics and Spectroscopy Superconductivity, Superfluidity, Quantum Fluids
Content Type	Text
Resource Type	Article
Subject	Electronic, Optical and Magnetic Materials Condensed Matter Physics

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