Contact Hamiltonian systems

被引：86

作者：

de Leon, Manuel ^{[1
,2
]}

Lainz Valcazar, Manuel ^{[1
]}

机构：

[1] UAM, UCM, UC3M, CSIC,Inst Ciencias Matemat, C Nicolas Cabrera 13-15,Campus Cantoblanco, Madrid 28049, Spain

[2] Real Acad Ciencias Exactas Fis & Nat, C de Valverde 22, Madrid 28004, Spain

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2019年 / 60卷 / 10期

关键词：

LAGRANGIAN SUBMANIFOLDS; COISOTROPIC SUBMANIFOLDS; LOCAL-STRUCTURE; VECTOR-FIELDS; REDUCTION; GEOMETRY;

D O I：

10.1063/1.5096475

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study Hamiltonian systems on contact manifolds, which is an appropriate scenario to discuss dissipative systems. We show how the dissipative dynamics can be interpreted as a Legendrian submanifold, and also prove a coisotropic reduction theorem similar to the one in symplectic mechanics; as a consequence, we get a method to reduce the dynamics of contact Hamiltonian systems. Published under license by AIP Publishing.

引用

页数：18

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