Inverse problem and equivalent contact systems

被引：6

作者：

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

Gaset, Jordi ^{[3
]}

Lainz, Manuel ^{[1
]}

机构：

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

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

[3] Univ Int La Rioja, Escuela Super Ingn & Tecnol, Logrono, Spain

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2022年 / 176卷

关键词：

Inverse problem; Equivalent Lagrangians; Contact geometry; EQUATIONS; CALCULUS; GEOMETRY; DYNAMICS;

D O I：

10.1016/j.geomphys.2022.104500

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present several results on the inverse problem and equivalent contact Lagrangian systems. These problems naturally lead to consider smooth transformations on the z variable (i.e., reparametrizations of the action). We present the extended contact Lagrangian systems to formalize this notion. With this structure we define horizontal equivalence of Lagrangians, which generalizes the symplectic case. We also present some results on the inverse problem for extended contact systems.(c) 2022 Elsevier B.V. All rights reserved.

引用

页数：18

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