Analytical Solution to the Lagrange Top

被引:0
作者
Salas, Alvaro H. [1 ]
Castillo, Jairo H. [2 ]
Martinez, Lorenzo J. [3 ,4 ]
机构
[1] Univ Nacl Colombia, Dept Math & Stat, Sede Manizales, Colombia
[2] Univ Dsitrital Francisco Jose de Caldas, Fac Tecnol, Bogota, Colombia
[3] Univ Nacl Colombia, Manizales, Colombia
[4] Univ Caldas, Manizales, Colombia
关键词
Helmholtz equation; Duffing equation; analytical solution; Weiesrstrass elliptic function; Weierstrass invariants; simulation; Wolfram Mathematica;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, the exact periodic and bounded solutions for the motions of Lagrange top with initial conditions are obtained. These solutions are expressed in terms of the Weierstrass elliptic function.
引用
收藏
页码:679 / 683
页数:5
相关论文
共 2 条
[1]  
Gignoux C, 2009, SOLVED PROBLEMS IN LAGRANGIAN AND HAMILTONIAN MECHANICS, P9, DOI 10.1007/978-90-481-2393-3_1
[2]  
Nayfeth A. N., 1973, NONLINEAR OSCILLATIO