Local sensitivity analysis for the Cucker-Smale model with random inputs
Local sensitivity analysis for the Cucker-Smale model with random inputs
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DOI：
10.3934/krm.2018034
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发表时间：
2017-12
期刊：
影响因子：
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通讯作者：
Seung‐Yeal Ha;Shi Jin
中科院分区：
文献类型：
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作者：
Seung‐Yeal Ha;Shi Jin
本文提出了具有随机通信和初始数据的cucker - small （C-S）模型的路径群集动力学和局部灵敏度分析。对于确定性通信，C-S模型可以根据初始数据和通信函数的可积性来模拟紧急的局部和全局群集动态。然而，agent之间的通信机制并不是先天明确的，需要从观察到的现象和数据中去摸索。因此，通信中的不确定性是C-S模型的群集建模中固有的组成部分。本文给出了一类允许的随机不确定性，使我们能够对群集进行局部灵敏度分析，并建立了具有不确定通信的随机C-S模型的稳定性。
We present pathwise flocking dynamics and local sensitivity analysis for the Cucker-Smale(C-S) model with random communications and initial data. For the deterministic communications, it is well known that the C-S model can model emergent local and global flocking dynamics depending on initial data and integrability of communication function. However, the communication mechanism between agents are not a priori clear and needs to be figured out from observed phenomena and data. Thus, uncertainty in communication is an intrinsic component in the flocking modeling of the C-S model. In this paper, we provide a class of admissible random uncertainties which allows us to perform the local sensitivity analysis for flocking and establish stability to the random C-S model with uncertain communication.