Dynamics, Circuitry Implementation and Control of an Autonomous Helmholtz Jerk Oscillator

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AuteurAINAMON, CYRILLE
AuteurKINGNI, SIFEU TAKOUGANG
AuteurTAMBA, VICTOR KAMDOUM
AuteurCHABI OROU, JEAN BIO
AuteurWOAFO, KOUDJOUDRA PAUL
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2019
ResumeIn this paper, an autonomous three-dimensional Helmholtz-type oscillator is designed based on conversion of an autonomous Helmholtz two-dimensional oscillator to a jerk oscillator. For a suitable choice of the parameters, the proposed autonomous Helmholtz jerk oscillator can generate Hopf bifurcation, bistable period-2 limit cycles, two types of one-scroll chaotic attractors and coexistence between period-3 limit cycle and one-scroll chaotic attractors. Using a weak modulation of a parameter of the proposed Helmholtz jerk oscillator, it is possible to destroy the coexisting attractors found and transform the proposed Helmholtz jerk oscillator to period-3 oscillations. Moreover using experiments and OrCAD-PSpice software, circuit implementation of the proposed autonomous Helmholtz jerk oscillator is realized in order to check the one-scroll chaotic attractors and the coexisting attractors found during the numerical simulations. Numerical and experimental/OrCAD-PSpice results have a good qualitative agreement. Finally, by adding two new parameters in the proposed autonomous Helmholtz jerk oscillator, it is possible to control the amplitude of the attractor and the largest Lyapunov exponent.
Autre identifiantBECDB-16817
URIhttps://dspace.uac.bj/handle/123456789/14064
Languefr
Fait partie deJournal of Control, Automation and Electrical Systems
SujetHelmholtz jerk oscillator · Hopf bifurcation · Chaos · Coexistence of attractors and its control · Electronic circuit
Sujetrealization · Amplitude and Lyapunov exponent control
TitreDynamics, Circuitry Implementation and Control of an Autonomous Helmholtz Jerk Oscillator
TypeArticle

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