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

Abstract

We present an algorithm for the rigorous integration of delay differential equations (DDEs) of the form x. As an application, we give a computer-assisted proof of the existence of two attracting periodic orbits (before and after the first period-doubling bifurcation) in the Mackey-Glass equation

Similar works

This paper was published in Jagiellonian Univeristy Repository.

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