Some Algebraically Solvable Two-Dimensional Dynamical Systems with Polynomial Interactions
Mathematical Physics
2020-01-08 v1 math.MP
Abstract
We tersely review a recently introduced technique to identify systems of two nonlinearly-coupled Ordinary Di{\S}erential Equations (ODEs) solvable by algebraic operations; and we report some specifc examples of this kind, namely systems of 2 first-order ODEs with polynomial right-hand sides, x_ n= P(n)(x1, x2) , n = 1, 2 , satisfied by the 2 (possibly complex ) dependent variables xn = xn (t). Here P(n)(x1, x2) indicates some specific polynomial. These examples are analogous, but different, from those previously reported.
Keywords
Cite
@article{arxiv.1904.02152,
title = {Some Algebraically Solvable Two-Dimensional Dynamical Systems with Polynomial Interactions},
author = {Francesco Calogero and Farrin Payandeh},
journal= {arXiv preprint arXiv:1904.02152},
year = {2020}
}
Comments
9 pages, submitted 29 January 2019