TY - JOUR
T1 - Flocking and non-flocking behavior in a stochastic cucker-smale system
AU - Ton, Ta Viet
AU - Linh, Nguyen Thi Hoai
AU - Yagi, Atsushi
N1 - Funding Information:
The last author is supported by Grant-in-Aid for Scientific Research (No. 20340035) of the Japan Society for the Promotion of Science.
PY - 2014/1
Y1 - 2014/1
N2 - We first present a new stochastic version of the Cucker-Smale model of the emergent behavior in flocks in which the mutual communication between individuals is affected by random factor. Then, the existence and uniqueness of global solution to this system are verified. We show a result which agrees with the natural fact that under the effect of a large noise, there is no flocking. In contrast, if the noise is small, then flocking may occur. The paper ends with some numerical examples.
AB - We first present a new stochastic version of the Cucker-Smale model of the emergent behavior in flocks in which the mutual communication between individuals is affected by random factor. Then, the existence and uniqueness of global solution to this system are verified. We show a result which agrees with the natural fact that under the effect of a large noise, there is no flocking. In contrast, if the noise is small, then flocking may occur. The paper ends with some numerical examples.
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U2 - 10.1142/S0219530513500255
DO - 10.1142/S0219530513500255
M3 - Article
AN - SCOPUS:84890551155
VL - 12
SP - 63
EP - 73
JO - Analysis and Applications
JF - Analysis and Applications
SN - 0219-5305
IS - 1
ER -