Data di Pubblicazione:
2013
Citazione:
Dynamical systems and $\sigma$-symmetries / G. Cicogna, G. Gaeta, S. Walcher. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - 46:23(2013). [10.1088/1751-8113/46/23/235204]
Abstract:
A deformation of the standard prolongation operation, defined on sets of vector fields in involution rather than on single ones, was recently introduced and christened ‘σ-prolongation’; correspondingly, one has ‘σ-symmetries’ of differential equations. These can be used to reduce the equations under study, but the general reduction procedure under σ-symmetries fails for equations of
order 1. In this paper, we discuss how σ-symmetries can be used to reduce
dynamical systems, i.e. sets of first-order ODEs in the form x'=f(x).
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Sistemi dinamici; simmetrie; riduzione
Elenco autori:
G. Cicogna, G. Gaeta, S. Walcher
Link alla scheda completa: