EQUIVARIANT CONSTRAINED SYMPLECTIC INTEGRATION

被引：44

作者：

MCLACHLAN, RI ^{[1
]}

SCOVEL, C ^{[1
]}

机构：

[1] LOS ALAMOS NATL LAB,COMP RES GRP C3,LOS ALAMOS,NM 87545

来源：

JOURNAL OF NONLINEAR SCIENCE | 1995年 / 5卷 / 03期

关键词：

SYMPLECTIC; INTEGRATOR; MOMENTUM; EQUIVARIANT; CONSTRAINED;

D O I：

10.1007/BF01212956

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use recent results an symplectic integration of Hamiltonian systems with constraints to construct symplectic integrators on cotangent bundles of manifolds by embedding the manifold in a linear space. We also prove that these methods are equivariant under cotangent lifts of a symmetry group acting linearly on the ambient space and consequently preserve the corresponding momentum. These results provide an elementary construction of symplectic integrators for Lie-Poisson systems and other Hamiltonian systems with symmetry. The methods are illustrated on the free rigid body, the heavy top, and the double spherical pendulum.

引用

页码：233 / 256

页数：24

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