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Nonlinear dynamics of a RLC series circuit modeled by a generalized Van der Pol oscillator by Yélomè Judicaël Fernando Kpomahou; Clément Hodévèwan Miwadinou; Richard Gilles Agbokpanzo; Laurent Amoussou Hinvi is a scholarly article available to read on EtoBox.

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## Abstract In this paper, nonlinear dynamics study of a RLC series circuit modeled by a generalized Van der Pol oscillator is investigated. After establishing a new general class of nonlinear ordinary differential equation, a forced Van der Pol oscillator subjected to an inertial nonlinearity is derived. According to the external excitation strength, harmonic, subharmonic and superharmonic oscillatory states are obtained using the multiple time scales method. Bifurcation diagrams displayed by the model for each system parameter are performed numerically through the fourth-order Runge–Kutta algorithm.

Author

Yélomè Judicaël Fernando Kpomahou; Clément Hodévèwan Miwadinou; Richard Gilles Agbokpanzo; Laurent Amoussou Hinvi

Publisher

Walter de Gruyter GmbH

Published

2021

Language

EN