Reversibility in polynomial systems of ODE’s

Autor:	Valery G. Romanovski, Tatjana Petek, Maoan Han
Rok vydání:	2018
Předmět:	Polynomial Applied Mathematics 010102 general mathematics Ode 01 natural sciences Computational Mathematics Planar Quadratic equation Ordinary differential equation 0103 physical sciences Homogeneous space Applied mathematics Affine transformation 0101 mathematics 010301 acoustics Mathematics
Zdroj:	Applied Mathematics and Computation. 338:55-71
ISSN:	0096-3003
DOI:	10.1016/j.amc.2018.05.051
Popis:	For a given family of real planar polynomial systems of ordinary differential equations depending on parameters, we consider the problem of how to find the systems in the family which become time-reversible after some affine transformation. We first propose a general computational approach to solve this problem, and then demonstrate its usage for the case of the family of quadratic systems.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::eaf628a87019455f059658b788437a07 https://doi.org/10.1016/j.amc.2018.05.051 Zobrazit plný text záznamu Full Text from ScienceDirect