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New Solvable System OF 2 First-Order Nonlinearly-Coupled Ordinary Differential Equations

Authors :
Calogero, Francesco
Payandeh, Farrin
Source :
Open Communications in Nonlinear Mathematical Physics, Volume 2 (September 29, 2022) ocnmp:10067
Publication Year :
2022

Abstract

In this short communication we introduce a rather simple autonomous system of 2 nonlinearly-coupled first-order Ordinary Differential Equations (ODEs), whose initial-values problem is explicitly solvable by algebraic operations. Its ODEs feature 2 right-hand sides which are the ratios of 2 homogeneous polynomials of first degree divided by the same homogeneous polynomial of second degree. The model features only 4 arbitrary parameters. We also report its isochronous variant featuring 4 nonlinearly-coupled first-order ODEs in 4 dependent variables, featuring 9 arbitrary parameters.<br />Comment: 3 pages

Subjects

Subjects :
Mathematics - Dynamical Systems

Details

Database :
arXiv
Journal :
Open Communications in Nonlinear Mathematical Physics, Volume 2 (September 29, 2022) ocnmp:10067
Publication Type :
Report
Accession number :
edsarx.2209.05113
Document Type :
Working Paper
Full Text :
https://doi.org/10.46298/ocnmp.10067