摘要
In this paper, we study the flocking behavior of a thermodynamic Cucker–Smale model with local velocity interactions. Using the spectral gap of a connected stochastic matrix, together with an elaborate estimate on perturbations of a linearized system, we provide a sufficient framework in terms of initial data and model parameters to guarantee flocking. Moreover, it is shown that the system achieves a consensus at an exponential rate.
作者
金春银
李双智
Chunyin JIN;Shuangzhi LI(College of Science,China Agricultural University,Beijing,100083,China)
基金
supported by the NSFC(12001530)。
