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Geometric Hamilton-Jacobi theory for higher-order autonomous systems

Autor
Colombo, L.; De León, M.; P.D. Prieto-Martínez; Roman-Roy, N.
Tipus d'activitat
Document cientificotècnic
Data
2013-09-09
Codi
arXiv:1309.2166v1 [math-ph]
Projecte finançador
Geometría de sistemas físicos y de control y aplicaciones
Repositori
http://hdl.handle.net/2117/22509 Obrir en finestra nova
URL
http://arxiv.org/abs/1309.2166 Obrir en finestra nova
Resum
The geometric framework for the Hamilton-Jacobi theory is used to study this theory in the ambient of higher-order mechanical systems, both in the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding Hamilton-Jacobi equations in these formalisms and apply our results to analyze some particular physical examples.
Citació
Colombo, L. [et al.]. "Geometric Hamilton-Jacobi theory for higher-order autonomous systems". 2013.
Paraules clau
Hamilton–Jacobi equation, Higher–order, Lagrangian and Hamiltonian systems, Symplectic geometry
Grup de recerca
DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions
GEOMVAP - Geometria de Varietats i Aplicacions

Participants

  • Colombo, Leonardo  (autor)
  • De León, Manuel  (autor)
  • Prieto Martinez, Pedro Daniel  (autor)
  • Roman Roy, Narciso  (autor)

Arxius