Non-Linear Dynamics with Non-Standard Lagrangians

被引：87
|
作者：
El-Nabulsi, Ahmad Rami [1 ,2 ]
机构：
[1] Key Lab Numer Simulat Sichuan Prov, Neijiang 641112, Sichuan, Peoples R China
[2] Neijiang Normal Univ, Coll Math & Informat Sci, Neijiang 641112, Sichuan, Peoples R China
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2013年 / 12卷 / 02期
关键词：
Non-standard Lagrangians; Nonlinear dynamics; Perturbations; VARIATIONAL CALCULUS; MECHANICS; SYSTEMS;
D O I：
10.1007/s12346-012-0074-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Two new actions being of a non-natural class S = integral e(L(q,(q) over dot,t)) dt and S = integral L1+gamma (q,(q) over dot, t) dt, gamma is an element of R with non-standard Lagrangians are introduced. It is demonstrated that nonlinear systems holding new dynamical properties may be obtained. Several constrained Lagrangians systems have been identified to possess attractive properties. Additional features are explored and discussed in some details.
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页码：273 / 291
页数：19
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