Coupled Dynamics on Networks

Abstract

We study the synchronization of coupled dynamical systems on a variety of networks. The dynamics is governed by a local nonlinear map or flow for each node of the network and couplings connecting different nodes via the links of the network. For small coupling strengths nodes show turbulent behavior but form synchronized clusters as coupling increases. When nodes show synchronized behaviour, we observe two interesting phenomena. First, there are some nodes of the floating type that show intermittent behaviour between getting attached to some clusters and evolving independently. Secondly, we identify two different ways of cluster formation, namely self-organized clusters which have mostly intra-cluster couplings and driven clusters which have mostly inter-cluster couplings.

References in corpus (4)

• Emergence of scaling in random networks
• Statistical mechanics of complex networks
• Self-organized and driven phase synchronization in coupled maps
• On the Strength of Attractors in a High-dimensional System: Milnor Attractor Network, Robust Global Attraction, and Noise-induced Selection

Cited by in corpus (6)

• Clustering and Synchronization of Oscillator Networks
• Birth and Death of Chimera: Interplay of Delay and Multiplexing
• The Self-Organization of Interaction Networks for Nature-Inspired Optimization
• Impact of heterogeneous delays on cluster synchronization
• Transition from the self-organized to the driven dynamical clusters
• Heterogeneous delays making parents synchronized: A coupled maps on Cayley tree model