Algorithm for rigorous integration of Delay Differential Equations and the computer-assisted proof of periodic orbits in the Mackey-Glass equation

Robert Szczelina, Piotr Zgliczyński

We present an algorithm for the rigorous integration of Delay Differential Equations (DDEs) of the form $x^{\prime }(t)=f(x(t-\tau ),x(t))$. As an application, we give a computer assisted proof…