Phys. Rev. E 57, 2543 - 2548 (1998)Collective behavior in globally coupled systems consisting of two kinds of competing cells |
Y. Zhang1 *, G. Hu2,1, H. Liu1, and J. H. Xiao3
1Physics Department, Beijing Normal University, Beijing 100875, China
2Center for Advanced Science and Technology, CCAST (World Laboratory), Beijing 8730, China
3Department of Basic Science, Beijing University of Posts and Telecommunications, Beijing 100088, China
Received 11 August 1997
We investigate a model of globally coupled systems consisting of two kinds of competing cells subject to stochastic forcings. The problem of large numbers of coupled Langevin equations can be reduced to a simple problem of two-dimensional differential equations. The global variables of the system show three types of collective phases: disordered phase, ordered steady phase, and coherent oscillation phase, and the transition conditions between these phases can be accurately predicted in the thermodynamic limit. A stochastic resonancelike behavior in the coherent oscillation output is revealed, and numerical simulations confirm the analytical results satisfactorily.
©1998 The American Physical Society
URL: http://link.aps.org/abstract/PRE/v57/p2543
DOI: 10.1103/PhysRevE.57.2543
PACS: 05.40.+j
* Author to whom correspondence should be addressed.
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