论文标题

随时间延迟的Cucker-Smale模型

The Cucker-Smale model with time delay

论文作者

Cartabia, Mauro Rodriguez

论文摘要

我们在连续的时间内研究经典的cucker-smale模型,并以积极的时间延迟$τ$。与未删除的情况一样,当每个$τ> 0 $的$β\ leq 1/2 $ $β\ leq 1/2 $时,就会发生无条件的羊群。此外,我们证明了速度直径的指数衰减。

We study the classical Cucker-Smale model in continuous time with a positive time delay $τ$. As in the non-delayed case, unconditional flocking occurs when $β\leq 1/2$ for every $τ>0$. Furthermore, we prove the exponential decay for the diameter of the velocities.

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