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蚂蚁追击问题与等角螺线 被引量:4

Ants Pursuit Problem and Equiangular Spiral
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摘要 通过研究蚂蚁追击问题,建立离散模型和微分方程模型,得到问题的解析解,推广了前人的结论,同时给出其追击曲线——等角螺线的特有性质. The Ants Pursuit Problem is investigated and its corresponding discrete model and the differential equation model are established. The analytical solution of the problem is given so that the results of the predecessors are generalized. Meanwhile, the pursuit curve is proved to be an equiangular spiral, wonderful properties of which are also presented.
作者 石勇国
出处 《宜宾学院学报》 2008年第6期23-25,共3页 Journal of Yibin University
基金 四川省教育厅青年基金项目(072B042)
关键词 追击曲线 等角螺线 数学模型 自相似 Persuit Curve Equiangular Spiral Mathematical Model Self - Similar
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参考文献13

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  • 10游世辉,李军.对数螺线的应用研究[J].九江学院学报(自然科学版),2005,20(3):1-4. 被引量:4

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