Geometric integrators and nonholonomic mechanics

被引：32

作者：

de León, M ^{[1
]}

de Diego, DM ^{[1
]}

Santamaría-Merino, A ^{[1
]}

机构：

[1] CSIC, Inst Matemat & Fis Fundamental, Madrid 28006, Spain

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2004年 / 45卷 / 03期

关键词：

D O I：

10.1063/1.1644325

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A geometric derivation of nonholonomic integrators is developed. It is based in the classical technique of generating functions adapted to the special features of nonholonomic systems. The theoretical methodology and the integrators obtained are different from those obtained in Cortes and Martinez ["Nonholonomic integrators," Nonlinearity 14, 1365-1392 (2001)]. In the case of mechanical systems with linear constraints a family of geometric integrators preserving the nonholonomic constraints is given. (C) 2004 American Institute of Physics.

引用

页码：1042 / 1064

页数：23

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