Nonlinear dynamics of system oscillations modeled by a forced Van der Pol generalized oscillator

AuteurMONWANOU, VINCENT ADJIMON
AuteurHINVI, LAURENT
AuteurMIWADINOU, CLEMENT
AuteurCHABI OROU, JEAN BIO
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2017
ResumeThis paper considers the oscillations of system modeled by a forced Van der Pol generalized oscillator. These oscillations are described by a nonlinear differential equation. The amplitudes of the forced harmonic, primary resonance super-harmonic and sub-harmonic oscillatory states are obtained using the harmonic balance technique and the multiple time scales methods. Hysteresis and jump phenomena in the system oscillations are obtained. Bifurcation sequences displayed by the model for each type of oscillatory states are performed numerically through the fourth-order Runge-Kutta scheme.
Autre identifiantBECDB-7469
URIhttps://dspace.uac.bj/handle/123456789/6725
Languefr
Fait partie deInternational Journal of Engineering and Applied Sciences
Relation urihttps://www.ijeas.org/download_data/IJEAS0408011.pdf
Sujetorced Van der Pol generalized oscillator
SujetHarmonic Balance Technique
Sujetresonant states
Sujethysteresis
Sujetbifurcation
TitreNonlinear dynamics of system oscillations modeled by a forced Van der Pol generalized oscillator
TypeArticle

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