The symmetry in the structure of dynamical and adjoint symmetries of second-order differential equations
Articolo
Data di Pubblicazione:
1995
Citazione:
The symmetry in the structure of dynamical and adjoint
symmetries of second-order differential equations / P. Morando, S. Pasquero. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - 28:7(1995), pp. 016.1943-016.1955. [10.1088/0305-4470/28/7/016]
Abstract:
With each second-order differential equation 2 in the evolution space J1 (Mn+1) we associate, using a new differential operator AZ, four families of vector fields and 1-forms on
J1 (Mn+1) providing a natural set-up for the study of symmetries, first integrals and the inverse problem for Z. We analyze the relations between the four families pointing out the symmetric
structure of this set-up. When a Lagrangian for Z exists, the bijection between dynamical and dual symmetries is included in the whole context, suggesting the corresponding bijection
between dual-adjoint and adjoint symmetries. As an application, we show how some results ofthe inverse problem can be framed naturally in this geometrical context.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Symmetry, Firsi integrals, Ordinary differential equations,
Elenco autori:
P. Morando, S. Pasquero
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