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Strong effects of network architecture in the entrainment of coupled oscillator systems
Title: | Strong effects of network architecture in the entrainment of coupled oscillator systems |
Authors: | Kori, Hiroshi Browse this author | Mikhailov, Alexander S. Browse this author |
Issue Date: | Dec-2006 |
Publisher: | American Physical Society |
Journal Title: | Physical Review E |
Volume: | 74 |
Start Page: | 066115 |
Publisher DOI: | 10.1103/PhysRevE.74.066115 |
PMID: | 17280129 |
Abstract: | 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. |
Rights: | Copyright © 2006 American Physical Society |
Relation: | http://www.aps.org/ |
Type: | article |
URI: | http://hdl.handle.net/2115/17194 |
Appears in Collections: | 電子科学研究所 (Research Institute for Electronic Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 郡 宏
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