Theoretical and Experimental Investigations of a Jerk Circuit with Two Parallel Diodes

A Jerk circuit with two parallel diodes is proposed and analyzed in this paper. The system describing the proposed jerk circuit has two or no equilibrium points depending on the system parameters. The existence of Hopf bifurcation is established during the stability analysis of the equilibrium point...

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Main Authors: Cyrille Ainamon, Sifeu T. Kingni, Nguemkoua Nguenjou Leopold Parfait, Kom Guillaume Honoré
Format: Article
Language:English
Published: Akif AKGUL 2020-11-01
Series:Chaos Theory and Applications
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/1196128
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author Cyrille Ainamon
Sifeu T. Kingni
Nguemkoua Nguenjou Leopold Parfait
Kom Guillaume Honoré
author_facet Cyrille Ainamon
Sifeu T. Kingni
Nguemkoua Nguenjou Leopold Parfait
Kom Guillaume Honoré
author_sort Cyrille Ainamon
collection DOAJ
description A Jerk circuit with two parallel diodes is proposed and analyzed in this paper. The system describing the proposed jerk circuit has two or no equilibrium points depending on the system parameters. The existence of Hopf bifurcation is established during the stability analysis of the equilibrium points. The proposed jerk circuit exhibits one scroll chaotic attractor and periodic attractors. An experimental study is presented to support theoretical investigations. The experimental results is shown consistency with numerical simulation results.
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spelling doaj.art-3467486720844173bc80caaa889c08a02024-02-25T19:10:01ZengAkif AKGULChaos Theory and Applications2687-45392020-11-012252571971Theoretical and Experimental Investigations of a Jerk Circuit with Two Parallel DiodesCyrille Ainamon0Sifeu T. Kingni1Nguemkoua Nguenjou Leopold Parfait2Kom Guillaume Honoré3Institut de Mathématiques et de Sciences Physiques, Université d’Abomey-CalaviDepartment of Mechanical, Petroluem and Gas Engineering, Faculty of Mines and Petroleum Industries, University of Maroua,Faculty of ScienceIUT FOSTSO VICTOR OF BANDJOUN, UNIVERSITY OF DSCHANGA Jerk circuit with two parallel diodes is proposed and analyzed in this paper. The system describing the proposed jerk circuit has two or no equilibrium points depending on the system parameters. The existence of Hopf bifurcation is established during the stability analysis of the equilibrium points. The proposed jerk circuit exhibits one scroll chaotic attractor and periodic attractors. An experimental study is presented to support theoretical investigations. The experimental results is shown consistency with numerical simulation results.https://dergipark.org.tr/en/download/article-file/1196128jerk circuittwo parallel diodeshopf bifurcationone scroll chaotic attractorperiodic attractor
spellingShingle Cyrille Ainamon
Sifeu T. Kingni
Nguemkoua Nguenjou Leopold Parfait
Kom Guillaume Honoré
Theoretical and Experimental Investigations of a Jerk Circuit with Two Parallel Diodes
Chaos Theory and Applications
jerk circuit
two parallel diodes
hopf bifurcation
one scroll chaotic attractor
periodic attractor
title Theoretical and Experimental Investigations of a Jerk Circuit with Two Parallel Diodes
title_full Theoretical and Experimental Investigations of a Jerk Circuit with Two Parallel Diodes
title_fullStr Theoretical and Experimental Investigations of a Jerk Circuit with Two Parallel Diodes
title_full_unstemmed Theoretical and Experimental Investigations of a Jerk Circuit with Two Parallel Diodes
title_short Theoretical and Experimental Investigations of a Jerk Circuit with Two Parallel Diodes
title_sort theoretical and experimental investigations of a jerk circuit with two parallel diodes
topic jerk circuit
two parallel diodes
hopf bifurcation
one scroll chaotic attractor
periodic attractor
url https://dergipark.org.tr/en/download/article-file/1196128
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AT nguemkouanguenjouleopoldparfait theoreticalandexperimentalinvestigationsofajerkcircuitwithtwoparalleldiodes
AT komguillaumehonore theoreticalandexperimentalinvestigationsofajerkcircuitwithtwoparalleldiodes