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Fecha
2021
Derechos de acceso
info:eu-repo/semantics/openAccess
Título de la revista
ISSN de la revista
Título del volumen
Editorial
American Institute of Mathematical Sciences
Citas
Resumen
In this article we develop a theory of contact systems with nonholonomic constraints. We obtain the dynamics from Herglotz's variational principle, by restricting the variations so that they satisfy the nonholonomic constraints. We prove that the nonholonomic dynamics can be obtained as a projection of the unconstrained Hamiltonian vector field. Finally, we construct the nonholonomic bracket, which is an almost Jacobi bracket on the space of observables and provides the nonholonomic dynamics.
Descripción
Categorías UNESCO
Palabras clave
Nonholonomic constraints, contact Hamiltonian systems, Herglotz principle, dissipative systems, nonholonomic mechanics, Jacobi nonholonomic bracket
Citación
Centro
Facultad de Ciencias
Departamento
Matemáticas Fundamentales