open access

https://hdl.handle.net/2115/17194

Strong effects of network architecture in the entrainment of coupled oscillator systems

英語

2006-12

American Physical Society

Physical Review E

74

066115

Random networks of coupled phase oscillators, representing an approximation for systems of coupled limit-cycle oscillators, are considered. Entrainment of such networks by periodic external forcing applied to a subset of their 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.

学術雑誌論文

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Copyright © 2006 American Physical Society

1063-651X

1095-3787