《山东大学学报(理学版)》 ›› 2018, Vol. 53 ›› Issue (12): 114-119.doi: 10.6040/j.issn.1671-9352.0.2017.504
吴晨,金英花*,王世丽
WU Chen, JIN Ying-hua*, WANG Shi-li
摘要： 研究了等级制度下带有白噪声的群集运动。首先提出了等级制度下带有白噪声的模型,然后利用伊藤公式、数学归纳法和数学期望的性质证明了当噪声强度满足一定的条件,时间趋于无穷大时,等级群体可以达到群集运动。最后,通过数值仿真给出了群集受到噪声影响后的状态图和误差图的例子。实验结果证明了结论的正确性。
中图分类号:
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