Comments on non-commuting variables, n-ary algebras, and first-order differential equations
Mathematical Physics
2013-11-21 v1 math.MP
Abstract
Use of certain non-commuting variables is considered in first-order differential equations. Superspace variables are discussed within the setting of first-order ordinary differential equations and n-ary algebras. Results on quadratic systems based on non-associative algebras are presented. A system related to a Li\'enard system associated to an Abel's differential equation of the second kind is given as an example.
Keywords
Cite
@article{arxiv.1311.5194,
title = {Comments on non-commuting variables, n-ary algebras, and first-order differential equations},
author = {M. Legare},
journal= {arXiv preprint arXiv:1311.5194},
year = {2013}
}
Comments
1+21 pages