Abstract
A model of clustering dynamics is proposed for a population of spatially distributed active rotators. A transition from excitable to oscillatory dynamics is induced by the increase of the local density of active rotators. It is interpreted as dynamical quorum sensing. In the oscillation regime, phase waves propagate without decay, which generates an effectively long-range interaction in the clustering dynamics. The clustering process becomes facilitated and only one dominant cluster appears rapidly as a result of the dynamical quorum sensing. An exact localized solution is found to a simplified model equation, and the competitive dynamics between two localized states is studied numerically.
| Original language | English |
|---|---|
| Article number | 024901 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 87 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Feb 15 2013 |
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All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics
Cite this
Dynamical quorum sensing and clustering dynamics in a population of spatially distributed active rotators. / Sakaguchi, Hidetsugu; Maeyama, Satomi.
In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 87, No. 2, 024901, 15.02.2013.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Dynamical quorum sensing and clustering dynamics in a population of spatially distributed active rotators
AU - Sakaguchi, Hidetsugu
AU - Maeyama, Satomi
PY - 2013/2/15
Y1 - 2013/2/15
N2 - A model of clustering dynamics is proposed for a population of spatially distributed active rotators. A transition from excitable to oscillatory dynamics is induced by the increase of the local density of active rotators. It is interpreted as dynamical quorum sensing. In the oscillation regime, phase waves propagate without decay, which generates an effectively long-range interaction in the clustering dynamics. The clustering process becomes facilitated and only one dominant cluster appears rapidly as a result of the dynamical quorum sensing. An exact localized solution is found to a simplified model equation, and the competitive dynamics between two localized states is studied numerically.
AB - A model of clustering dynamics is proposed for a population of spatially distributed active rotators. A transition from excitable to oscillatory dynamics is induced by the increase of the local density of active rotators. It is interpreted as dynamical quorum sensing. In the oscillation regime, phase waves propagate without decay, which generates an effectively long-range interaction in the clustering dynamics. The clustering process becomes facilitated and only one dominant cluster appears rapidly as a result of the dynamical quorum sensing. An exact localized solution is found to a simplified model equation, and the competitive dynamics between two localized states is studied numerically.
UR - http://www.scopus.com/inward/record.url?scp=84874516817&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84874516817&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.87.024901
DO - 10.1103/PhysRevE.87.024901
M3 - Article
C2 - 23496643
AN - SCOPUS:84874516817
VL - 87
JO - Physical Review E
JF - Physical Review E
SN - 2470-0045
IS - 2
M1 - 024901
ER -