Dynamical systems and [sigma]-symmetries

• Published in: Journal of physics. A, Mathematical and theoretical Vol. 46; no. 23; pp. 1 - 23
• Main Authors: Cicogna, G, Gaeta, G, Walcher, S
• Format: Journal Article
• Language: English
• Published: 14.06.2013
• Subjects: Deformation; Differential equations; Dynamical systems; Fields (mathematics); Mathematical analysis; Prolongation; Reduction

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 '[sigma]-prolongation'; correspondingly, one has '[sigma]-symmetries' of differential equations. These can be us...