Orbital reducibility and a generalization of lambda symmetries
Mathematical Physics
2015-10-20 v1 Dynamical Systems
math.MP
Abstract
We review the notion of reducibility and we introduce and discuss the notion of orbital reducibility for autonomous ordinary differential equations of first order. The relation between (orbital) reducibility and (orbital) symmetry is investigated and employed to construct (orbitally) reducible systems. By standard identifications, the notions extend to non-autonomous ODEs of first and higher order. Moreover we thus obtain a generalization of the lambda symmetries of Muriel and Romero. Several examples are given.
Cite
@article{arxiv.1210.3286,
title = {Orbital reducibility and a generalization of lambda symmetries},
author = {Giampaolo Cicogna and Giuseppe Gaeta and Sebastian Walcher},
journal= {arXiv preprint arXiv:1210.3286},
year = {2015}
}
Comments
25 pages; to appear in "Journal of Lie Theory" (http://www.emis.de/journals/JLT/)