Lagrangian reduction of generalized nonholonomic systems
| Autor: | Sergio Daniel Grillo, Hernán Cendra, Sebastián José Ferraro |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2008 |
| Předmět: |
Nonholonomic system
Mathematical optimization Matemáticas purl.org/becyt/ford/1.1 [https] General Physics and Astronomy Matemática Pura Reduction (complexity) purl.org/becyt/ford/1 [https] symbols.namesake LAGRANGIAN REDUCTION symbols Applied mathematics Geometry and Topology CONSTRAINED LAGRANGIAN SYSTEMS CIENCIAS NATURALES Y EXACTAS Mathematical Physics Lagrangian Mathematics |
| Zdroj: | CONICET Digital (CONICET) Consejo Nacional de Investigaciones Científicas y Técnicas instacron:CONICET |
| Popis: | In this paper we study the Lagrangian reduction of generalized nonholonomic systems (GNHS) with symmetry. We restrict ourselves to those GNHS, defined on a configuration space Q, with kinematic constraints given by a general submanifold CK ⊂ T Q, and variational constraints given by a distribution CV on Q. We develop a reduction procedure that is similar to that for nonholonomic systems satisfying d'Alembert's principle, i.e. with CK a distribution and CV = CK. Special care is taken in identifying the geometrical structures and mappings involved. We illustrate the general theory with an example. Fil: Cendra, Hernan. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur; Argentina Fil: Ferraro, Sebastián José. Universidad Nacional del Sur; Argentina. Instituto de Ciencias Matemáticas; España. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina Fil: Grillo, Sergio Daniel. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Universidad Nacional de la Patagonia; Argentina |
| Databáze: | OpenAIRE |
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