Spatial patterns of desynchronization bursts in networks
arXiv:nlin/0401007 · doi:10.1103/PhysRevE.69.066215
Abstract
We adapt a previous model and analysis method (the {\it master stability function}), extensively used for studying the stability of the synchronous state of networks of identical chaotic oscillators, to the case of oscillators that are similar but not exactly identical. We find that bubbling induced desynchronization bursts occur for some parameter values. These bursts have spatial patterns, which can be predicted from the network connectivity matrix and the unstable periodic orbits embedded in the attractor. We test the analysis of bursts by comparison with numerical experiments. In the case that no bursting occurs, we discuss the deviations from the exactly synchronous state caused by the mismatch between oscillators.
References in corpus (7)
- Emergence of scaling in random networks
- Statistical mechanics of complex networks
- Synchronization in small-world systems
- Why social networks are different from other types of networks
- Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?
- Synchronous Behavior of Two Coupled Biological Neurons
- Coherence and synchronization in diode-laser arrays with delayed global coupling
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