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New Solvable System OF 2 First-Order Nonlinearly-Coupled Ordinary Differential Equations
- 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 :
- Mathematics - Dynamical Systems
Subjects
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