PARAMETRICALLY DRIVEN PENDULUM AND EXACT-SOLUTIONS

被引：1
|
作者：
STEEB, WH
EULER, N
机构：
[1] Department of Applied Mathematics and Nonlinear Studies, Rand Afrikaans University, Johannesburg
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 1992年 / 31卷 / 08期
关键词：
D O I：
10.1007/BF00673983
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The parametrically driven pendulum x+f1(t)x+f2(t) sin x = 0 cannot be solved in closed form for arbitrary functions f1, f2. We apply the Painleve test to obtain the constraint on the functions f1 and f2 for which the equation passes the test. The constraint on f1 and f2, a differential equation which f1 and f2 obey, is discussed and solutions are given. The third Painleve transcendent plays a central role.
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收藏
页码：1527 / 1530
页数：4
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