The geometry of Lagrangian systems, whose Legendre map possesses generic singularities, is studied. On its basis the Transition Principle, prescribing the behaviour of phase trajectories on the singular hypersurface, is proposed. The notion of relative Hamiltonian vector field associated with an arbitrary Lagrangian is studied and in particular applied to the constraint algorithm.

ON THE GEOMETRY OF SINGULAR LAGRANGIANS

PUGLIESE, Fabrizio;VINOGRADOV, Alexandre
2000-01-01

Abstract

The geometry of Lagrangian systems, whose Legendre map possesses generic singularities, is studied. On its basis the Transition Principle, prescribing the behaviour of phase trajectories on the singular hypersurface, is proposed. The notion of relative Hamiltonian vector field associated with an arbitrary Lagrangian is studied and in particular applied to the constraint algorithm.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/1635987
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 10
  • ???jsp.display-item.citation.isi??? 11
social impact