Geometric Hamiltonian Formulation of a Variational Problem Depending on the Covariant Acceleration
Joint Authors
Camarinha, Margarida
Abrunheiro, Lígia
Clemente-Gallardo, Jesús
Source
Conference Papers in Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-26
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We consider a second-order variational problem depending on the covariant acceleration, which is related to the notion of Riemannian cubic polynomials.
This problem and the corresponding optimal control problem are described in the context of higher order tangent bundles using geometric tools.
The main tool, a presymplectic variant of Pontryagin’s maximum principle, allows us to study the dynamics of the control problem.
American Psychological Association (APA)
Abrunheiro, Lígia& Camarinha, Margarida& Clemente-Gallardo, Jesús. 2013. Geometric Hamiltonian Formulation of a Variational Problem Depending on the Covariant Acceleration. Conference Papers in Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-456809
Modern Language Association (MLA)
Abrunheiro, Lígia…[et al.]. Geometric Hamiltonian Formulation of a Variational Problem Depending on the Covariant Acceleration. Conference Papers in Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-456809
American Medical Association (AMA)
Abrunheiro, Lígia& Camarinha, Margarida& Clemente-Gallardo, Jesús. Geometric Hamiltonian Formulation of a Variational Problem Depending on the Covariant Acceleration. Conference Papers in Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-456809
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456809