This paper is presenting a new method for making first-order systems of nonlinear autonomous ODEs that exhibit limit cycles with a specific geometric shape in two and three dimensions, or systems of ...

In this paper, we provide an algorithm to compute explicit rational solutions of a rational system of autonomous ordinary differential equations (ODEs) from its rational invariant algebraic curves.

This repository contains a single Python script/Notebook where I explore several classical problems in physics by solving and visualizing their differential equations. In the first part, I solve and ...