Time-dependent contact mechanics

被引：0
|
作者：
Manuel de León
Jordi Gaset
Xavier Gràcia
Miguel C. Muñoz-Lecanda
Xavier Rivas
机构：
[1] Consejo Superior de Investigaciones Científicas and Real Academia de Ciencias,Instituto de Ciencias Matemáticas
[2] Universidad Internacional de La Rioja,Escuela Superior de Ingeniería y Tecnología
[3] Universitat Politècnica de Catalunya,Department of Mathematics
来源：
Monatshefte für Mathematik | 2023年 / 201卷
关键词：
Contact structure; Time-dependent system; Hamiltonian system; Dissipation; Singular Lagrangian; Holonomic constraints; Jacobi structure; 37J55; 70H03; 70H05; 53D05; 53D10; 53Z05; 70H45;
D O I：
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中图分类号：
学科分类号：
摘要：
Contact geometry allows us to describe some thermodynamic and dissipative systems. In this paper we introduce a new geometric structure in order to describe time-dependent contact systems: cocontact manifolds. Within this setting we develop the Hamiltonian and Lagrangian formalisms, both in the regular and singular cases. In the singular case, we present a constraint algorithm aiming to find a submanifold where solutions exist. As a particular case we study contact systems with holonomic time-dependent constraints. Some regular and singular examples are analyzed, along with numerical simulations.
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页码：1149 / 1183
页数：34
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