一类受白噪声扰动群聚模型的动力学行为

Journal of Jilin University Science Edition ›› 2021, Vol. 59 ›› Issue (6): 1345-1350.

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Dynamic Behavior of a Class of Flocking Models Disturbed by White Noise

ZHANG Yanni¹, ZHOU Ran², CHEN Xiaoyu³

1. Department of Basic Science, Jilin University of Architecture and Technology, Changchun 130114, China;
2. College of Mathematics, Jilin University, Changchun 130012, China; 3. Teaching Section of Foundation, Qingdao Campus of Naval Aeronautical University, Qingdao 266041, Shandong Province, China

Received:2021-04-08 Online:2021-11-26 Published:2021-11-26

Abstract

Abstract: By using the Ito formula and the law of iterated logarithm, we studied the dynamic behavior of a class of flocking models disturbed by white noise. Firstly, we proved that the flocking model of two individuals presented unconditional flocking phenomenon. Secondly, for the flocking model of N individuals, we proved that the system had strong random flocking phenomenon under certain conditions.

Key words: flocking model, white noise, Ito formula, dynamic behavior

CLC Number:

O175.12

ZHANG Yanni, ZHOU Ran, CHEN Xiaoyu. Dynamic Behavior of a Class of Flocking Models Disturbed by White Noise[J].Journal of Jilin University Science Edition, 2021, 59(6): 1345-1350.

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Dynamic Behavior of a Class of Flocking Models Disturbed by White Noise

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