Strong Effects of Network Architecture in the Entrainment of Coupled Oscillator Systems
arXiv:cond-mat/0608702 · doi:10.1103/PhysRevE.74.066115
Abstract
Entrainment of randomly coupled oscillator networks by periodic external forcing applied to a subset of elements is numerically and analytically investigated. For a large class of interaction functions, we find that the entrainment window with a tongue shape becomes exponentially narrow for networks with higher hierarchical organization. However, the entrainment is significantly facilitated if the networks are directionally biased, i.e., closer to the feedforward networks. Furthermore, we show that the networks with high entrainment ability can be constructed by evolutionary optimization processes. The neural network structure of the master clock of the circadian rhythm in mammals is discussed from the viewpoint of our results.
15 pages, 11 figures, RevTeX
References in corpus (5)
- Average path length in uncorrelated random networks with hidden variables
- The onset of synchronization in large networks of coupled oscillators
- Frequency synchronization in random oscillator network
- Entrainment of Coupled Oscillators on Regular Networks by Pacemakers
- Path-integral approach to the dynamics in sparse random network
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