Showing papers by "Sarika Jalan published in 2003"
TL;DR: 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.
112 citations
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TL;DR: In this article, the authors study self-organized and driven synchronization in coupled map networks for simple networks, namely two and three node networks and their natural generalization to globally coupled and complete bipartite networks.
Abstract: We study self-organized (s-) and driven (d-) synchronization in coupled map networks for some simple networks, namely two and three node networks and their natural generalization to globally coupled and complete bipartite networks. We use both linear stability analysis and Lyapunov function approach for this study and determine stability conditions for synchronization. We see that most of the features of coupled dynamics of small networks with two or three nodes, are carried over to the larger networks of the same type. The phase diagrams for the networks studied here have features very similar to the different kinds of networks studied in Ref. \cite{sarika-REA2}. The analysis of the dynamics of the difference variable corresponding to any two nodes shows that when the two nodes are in driven synchronization, all the coupling terms cancel out whereas when they are in self-organized synchronization, the direct coupling term between the two nodes adds an extra decay term while the other couplings cancel out.
44 citations
TL;DR: It is shown that for small coupling strengths nodes show turbulent behaviour but form phase synchronized clusters as coupling increases, and identifies two different ways of cluster formation, self-organized clusters which have mostly intra-clusters couplings and driven clusters which has mostly inter-cluster couplings.
Abstract: We study synchronization of coupled logistic maps on networks. For small coupling strengths nodes show turbulent behaviour but form phase synchronized clusters as coupling increases. We identify two different ways of cluster formation, self-organized clusters which have mostly intra-cluster couplings and driven clusters which have mostly inter-cluster couplings. In the novel driven synchronization the nodes of one cluster are driven by those of the others.
33 citations