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Van der Pol Model in Two-Delay Differential Equation Representation

Article scientifique 2021 Anglais

Résumé

Abstract The Van der Pol equation is the mathematical model of a second-order ordinary differential equation with cubic nonlinearity. In this paper, the differential equation of the Van der Pol model and RLC (resistor - inductor-capacitor) circuit are deduced from a delay differential equation. The Van der Pol delay model contains two delays, which opens the way for the re-use of its applications. Also, the model for Parkinson's disease modification is described as the Van der Pol model.

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Elfouly, M., Sohaly, M. (2021). Van der Pol Model in Two-Delay Differential Equation Representation. https://doi.org/10.21203/rs.3.rs-828074/v1

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Auteur(s)

M. A. Elfouly M. A. Sohaly

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