[HTML][HTML] Emergent behavior of Cucker–Smale flocking particles with heterogeneous time delays
YP Choi, Z Li - Applied Mathematics Letters, 2018 - Elsevier
YP Choi, Z Li
Applied Mathematics Letters, 2018•ElsevierWe analyze the flocking behavior of a Cucker–Smale-type system with a delayed coupling,
where delays are information processing and reactions of individuals. By constructing a
system of dissipative differential inequalities together with a continuity argument, we provide
a sufficient condition for the flocking behavior showing the velocity alignment between
particles as time goes to infinity when the maximum value of time delays is sufficiently small.
where delays are information processing and reactions of individuals. By constructing a
system of dissipative differential inequalities together with a continuity argument, we provide
a sufficient condition for the flocking behavior showing the velocity alignment between
particles as time goes to infinity when the maximum value of time delays is sufficiently small.
Abstract
We analyze the flocking behavior of a Cucker–Smale-type system with a delayed coupling, where delays are information processing and reactions of individuals. By constructing a system of dissipative differential inequalities together with a continuity argument, we provide a sufficient condition for the flocking behavior showing the velocity alignment between particles as time goes to infinity when the maximum value of time delays is sufficiently small.
Elsevier
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