Approximate partial Noether operators and first integrals for cubically coupled nonlinear Duffing oscillators subject to a periodically driven force

被引：2
作者：
Naz, R. [1 ]
机构：
[1] Lahore Sch Econ, Ctr Math & Stat Sci, Lahore 53200, Pakistan
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 380卷 / 01期
关键词：
Cubically coupled nonlinear Duffing oscillators; Approximate partial Euler-Lagrange equations; Partial Lagrangian; Approximate partial Noether operators; Approximate first integrals; CONSERVATION-LAWS; PARTIAL LAGRANGIANS; SMALL-PARAMETER; SYMMETRIES; PDES;
D O I：
10.1016/j.jmaa.2011.02.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The approximate first integrals for a system of two cubically coupled nonlinear Duffing oscillators subject to a periodically driven force are constructed with the help of approximate partial Noether approach. Firstly, approximate partial Noether operators associated with a partial Lagrangian are derived. Then approximate first integrals are obtained for both the resonant and non-resonant cases. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：289 / 298
页数：10
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