On certain solvable systems of 4 nonlinear Ordinary Differential Equations
Francesco Calogero

TL;DR
This paper explores specific periodic solutions of a class of four nonlinear ordinary differential equations involving quadratic polynomial interactions among four variables.
Contribution
It presents explicit periodic solutions for a particular solvable system of four nonlinear ODEs with quadratic polynomial terms.
Findings
Derived explicit periodic solutions for the system.
Identified conditions for solvability and periodicity.
Enhanced understanding of nonlinear polynomial ODE systems.
Abstract
Some interesting (periodic!) solutions of certain systems of nonlinear Ordinary Differential Equations , where are polynomials of degree in the dependent variables , are obtained.
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Taxonomy
TopicsDifferential Equations and Numerical Methods · Differential Equations and Boundary Problems · advanced mathematical theories
