Hamiltonian theory of constrained impulsive motion

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dc.creatorCortes, Jorge
dc.creatorVinogradov, Alexandre M.
dc.date2004-01-27
dc.date.accessioned2026-07-07T05:04:54Z
dc.date.available2026-07-07T05:04:54Z
dc.descriptionThis paper considers systems subject to nonholonomic constraints which are not uniform on the whole configuration manifold. When the constraints change, the system undergoes a transition in order to comply with the new imposed conditions. Building on previous work on the Hamiltonian theory of impact, we tackle the problem of mathematically describing the classes of transitions that can occur. We propose a comprehensive formulation of the Transition Principle that encompasses the various impulsive regimes of Hamiltonian systems. Our formulation is based on the partial symplectic formalism, which provides a suitable framework for the dynamics of nonholonomic systems. We pay special attention to mechanical systems and illustrate the results with several examples.
dc.description36 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0401380
dc.identifierhttp://arxiv.org/abs/math/0401380
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69989
dc.subjectDifferential Geometry
dc.subjectDynamical Systems
dc.subjectSymplectic Geometry
dc.subject70F25; 70F35; 70G45
dc.titleHamiltonian theory of constrained impulsive motion
dc.typetext

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