Synchrony-optimized Networks of Non-identical Kuramoto Oscillators
arXiv:0809.4531 · doi:10.1016/j.physleta.2007.11.069
Abstract
In this letter we discuss a method for generating synchrony-optimized coupling architectures of Kuramoto oscillators with a heterogeneous distribution of native frequencies. The method allows us to relate the properties of the coupling network to its synchronizability. These relations were previously only established from a linear stability analysis of the identical oscillator case. We further demonstrate that the heterogeneity in the oscillator population produces heterogeneity in the optimal coupling network as well. Two rules for enhancing the synchronizability of a given network by a suitable placement of oscillators are given: (i) native frequencies of adjacent oscillators must be anti-correlated and (ii) frequency magnitudes should positively correlate with the degree of the node they are placed at.
References in corpus (12)
- Emergence of scaling in random networks
- Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?
- Paths to Synchronization on Complex Networks
- Entangled networks, synchronization, and optimal network topology
- Universality in the synchronization of weighted random networks
- Enhancing complex-network synchronization
- Factors that predict better synchronizability on complex networks
- Synchronization in scale-free network with asymmetric coupling
- Synchronization transition in scale-free networks: Clusters of synchrony
- Synchronizability determined by coupling strengths and topology on Complex Networks
- Synchronization in Weighted Uncorrelated Complex Networks in a Noisy Environment: Optimization and Connections with Transport Efficiency
- Synchronization and structure in an adaptive oscillator network
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