NON-INTEGRABILITY OF THE DEGENERATE CASES OF THE SWINGING ATWOOD'S MACHINE USING HIGHER ORDER VARIATIONAL EQUATIONS

被引：7

作者：

Martinez, Regina ^{[1
]}

Simo, Carles ^{[2
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain

[2] Univ Barcelona, Dept Matemat Aplicada & Anal, E-08007 Barcelona, Spain

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2011年 / 29卷 / 01期

关键词：

Non-integrability criteria; Swinging Atwood Machine; differential Galois theory; higher order variationals; HAMILTONIAN-SYSTEMS; INTEGRABILITY;

D O I：

10.3934/dcds.2011.29.1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Non-integrability criteria, based on differential Galois theory and requiring the use of higher order variational equations (VE(k)), are applied to prove the non-integrability of the Swinging Atwood's Machine for values of the parameter which can not be decided using first order variational equations (VE(1)).

引用

页码：1 / 24

页数：24

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