Nonlinear dynamics of a RLC series circuit modeled by a generalized Van der Pol oscillator-Reference-Cited by-同舟云学术

Nonlinear dynamics of a RLC series circuit modeled by a generalized Van der Pol oscillator

Published:2021-02-17 Issue:3-4 Volume:22 Page:479-494
ISSN:1565-1339
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Kpomahou Yélomè Judicaël Fernando¹,Miwadinou Clément Hodévèwan²,Agbokpanzo Richard Gilles¹,Hinvi Laurent Amoussou³

Affiliation:

1. Department of Industrial and Technical Sciences, ENSET-Lokossa , University of Abomey , Abomey , Benin

2. Department of Physics, ENS-Natitingou , University of Abomey , Abomey , Benin

3. Département de Génie Mécanique et Productique (GMP) , Institut National Supérieur de Technologie Industrielle (INSTI) Lokossa/UNSTIM , Abomey , Benin

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2019-0031/pdf

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