𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the group classification of systems of two linear second-order ordinary differential equations with constant coefficients

✍ Scribed by Meleshko, S.V.; Moyo, S.; Oguis, G.F.

Book ID
121340261
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
203 KB
Volume
410
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Symmetry breaking of systems of linear s
Symmetry breaking of systems of linear second-order ordinary differential equations with constant coefficients
✍ CΓ©lestin Wafo Soh πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 174 KB

We show that the structure of the Lie symmetry algebra of a system of n linear secondorder ordinary differential equations with constant coefficients depends on at most n Γ€ 1 parameters. The tools used are Jordan canonical forms and appropriate scaling transformations. We put our approach to test by

Comment on β€œSymmetry breaking of systems
Comment on β€œSymmetry breaking of systems of linear second-order ordinary differential equations with constant coefficients”
✍ Sergey V. Meleshko πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 167 KB

The present paper corrects the way of using Jordan canonical forms for studying the symmetry structures of systems of linear second-order ordinary differential equations with constant coefficients applied in [1]. The approach is demonstrated for a system consisting of two equations.