Self-organized and driven phase synchronization in coupled maps.
Sarika Jalan,R. E. Amritkar +1 more
TLDR
The phase synchronization and cluster formation in coupled maps on different networks are studied to identify two different mechanisms: self-organized phase synchronization which leads to clusters with dominant intracluster couplings and driven phase synchronization, where the nodes of one cluster are driven by those of the others.Abstract:
We study the phase synchronization and cluster formation in coupled maps on different networks. We identify two different mechanisms of cluster formation: (a) self-organized phase synchronization which leads to clusters with dominant intracluster couplings and (b) driven phase synchronization which leads to clusters with dominant intercluster couplings. In the novel driven synchronization the nodes of one cluster are driven by those of the others. We also discuss the dynamical origin of these two mechanisms for small networks with two and three nodes.read more
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Complex networks: Structure and dynamics
TL;DR: The major concepts and results recently achieved in the study of the structure and dynamics of complex networks are reviewed, and the relevant applications of these ideas in many different disciplines are summarized, ranging from nonlinear science to biology, from statistical mechanics to medicine and engineering.
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Synchronization in complex networks
Alex Arenas,Alex Arenas,Albert Díaz-Guilera,Albert Díaz-Guilera,Jürgen Kurths,Jürgen Kurths,Yamir Moreno,Changsong Zhou +7 more
TL;DR: The advances in the comprehension of synchronization phenomena when oscillating elements are constrained to interact in a complex network topology are reported and the new emergent features coming out from the interplay between the structure and the function of the underlying pattern of connections are overviewed.
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Hierarchical organization unveiled by functional connectivity in complex brain networks.
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Cluster synchronization in networks of coupled non-identical dynamical systems
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Explosive transitions in complex networks’ structure and dynamics: Percolation and synchronization
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TL;DR: In this paper, a review of the main-stream literature on phase transitions in networked systems is presented, with the twofold aim of summarizing the existing results and pointing out possible directions for future research.