Publicación: Contact Hamiltonian and Lagrangian systems with nonholonomic constraints
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2021
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Atribución-NoComercial-SinDerivadas 4.0 Internacional
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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American Institute of Mathematical Sciences
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.
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Categorías UNESCO
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Nonholonomic constraints, contact Hamiltonian systems, Herglotz principle, dissipative systems, nonholonomic mechanics, Jacobi nonholonomic bracket
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Centro
Facultad de Ciencias
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Matemáticas Fundamentales