Application of AD to a Family of Periodic Functions

机译：AD在周期函数族中的应用

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We study the initial value problem (IVP) for the system dx/dt =-y~m, dy/dt = x~n, where m and n are positive odd integers, x(0) = 1, y(0) = 0. Its solutions are periodic, and we find relations between the periods. Automatic differentiation is used to enable interesting mathematical explorations.

机译：我们研究系统dx / dt = -y〜m，dy / dt = x〜n的初值问题（IVP），其中m和n是正整数，x（0）= 1，y（0）= 0.它的解决方案是周期的，我们发现了周期之间的关系。自动微分用于启用有趣的数学探索。

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来源
《Third International Conference on Automatic Differentiation; Jun, 2000; Cote d'Azur, France》|2002年|p.319-326|共8页
会议地点 Cote dAzur(FR)
作者
Harley Flanders;
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作者单位

University of Michigan, Dept. of Mathematics, East Hall, Ann Arbor, MI 48109 USA;

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原文格式 PDF
正文语种 eng
中图分类自动化技术、计算机技术;
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Application of AD to a Family of Periodic Functions

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