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Sustained dynamics of a weakly excitable system with nonlocal interactions

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Title: Sustained dynamics of a weakly excitable system with nonlocal interactions
Authors: Kobayashi, Yasuaki Browse this author
Kitahata, Hiroyuki Browse this author →KAKEN DB
Nagayama, Masaharu Browse this author →KAKEN DB
Issue Date: 23-Aug-2017
Publisher: American Physical Society (APS)
Journal Title: Physical review. Third series. E
Volume: 96
Issue: 2
Start Page: 22213
Publisher DOI: 10.1103/PhysRevE.96.022213
PMID: 28950600
Abstract: We investigate a two-dimensional spatially extended system that has a weak sense of excitability, where an excitation wave has a uniform profile and propagates only within a finite range. Using a cellular automaton model of such a weakly excitable system, we show that three kinds of sustained dynamics emerge when nonlocal spatial interactions are provided, where a chain of local wave propagation and nonlocal activation forms an elementary oscillatory cycle. Transition between different oscillation regimes can be understood as different ways of interactions among these cycles. Analytical expressions are given for the oscillation probability near the onset of oscillations.
Rights: © 2017 American Physical Society
Type: article
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)

Submitter: 長山 雅晴

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