A simple multi-stable chaotic jerk system with two saddle-foci equilibrium points: analysis, synchronization via active backstepping control and electronic circuit design
This paper announces a new three-dimensional chaotic jerk system with two saddle-focus equilibrium points and gives a dynamic analysis of the properties of the jerk system such as Lyapunov exponents, phase portraits, Kaplan-Yorke dimension and equilibrium points. By modifying the Genesio-Tesi jerk d...
| Main Authors: | , , , , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Institute of Advanced Engineering and Science
2021
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| _version_ | 1797059668900577280 |
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| author | Sambas, A Vaidyanathan, S Moroz, I Idowu, B Mohamed, MA Mamat, M Sanjaya, WSM |
| author_facet | Sambas, A Vaidyanathan, S Moroz, I Idowu, B Mohamed, MA Mamat, M Sanjaya, WSM |
| author_sort | Sambas, A |
| collection | OXFORD |
| description | This paper announces a new three-dimensional chaotic jerk system with two saddle-focus equilibrium points and gives a dynamic analysis of the properties of the jerk system such as Lyapunov exponents, phase portraits, Kaplan-Yorke dimension and equilibrium points. By modifying the Genesio-Tesi jerk dynamics (1992), a new jerk system is derived in this research study. The new jerk model is equipped with multistability and dissipative chaos with two saddle-foci equilibrium points. By invoking backstepping technique, new results for synchronizing chaos between the proposed jerk models are successfully yielded. MultiSim software is used to implement a circuit model for the new jerk dynamics. A good qualitative agreement has been shown between the MATLAB simulations of the theoretical chaotic jerk model and the MultiSIM results. |
| first_indexed | 2024-03-06T20:07:30Z |
| format | Journal article |
| id | oxford-uuid:2964ceee-3285-4ca8-923b-698fcac3a67c |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:07:30Z |
| publishDate | 2021 |
| publisher | Institute of Advanced Engineering and Science |
| record_format | dspace |
| spelling | oxford-uuid:2964ceee-3285-4ca8-923b-698fcac3a67c2022-03-26T12:18:56ZA simple multi-stable chaotic jerk system with two saddle-foci equilibrium points: analysis, synchronization via active backstepping control and electronic circuit designJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2964ceee-3285-4ca8-923b-698fcac3a67cEnglishSymplectic ElementsInstitute of Advanced Engineering and Science2021Sambas, AVaidyanathan, SMoroz, IIdowu, BMohamed, MAMamat, MSanjaya, WSMThis paper announces a new three-dimensional chaotic jerk system with two saddle-focus equilibrium points and gives a dynamic analysis of the properties of the jerk system such as Lyapunov exponents, phase portraits, Kaplan-Yorke dimension and equilibrium points. By modifying the Genesio-Tesi jerk dynamics (1992), a new jerk system is derived in this research study. The new jerk model is equipped with multistability and dissipative chaos with two saddle-foci equilibrium points. By invoking backstepping technique, new results for synchronizing chaos between the proposed jerk models are successfully yielded. MultiSim software is used to implement a circuit model for the new jerk dynamics. A good qualitative agreement has been shown between the MATLAB simulations of the theoretical chaotic jerk model and the MultiSIM results. |
| spellingShingle | Sambas, A Vaidyanathan, S Moroz, I Idowu, B Mohamed, MA Mamat, M Sanjaya, WSM A simple multi-stable chaotic jerk system with two saddle-foci equilibrium points: analysis, synchronization via active backstepping control and electronic circuit design |
| title | A simple multi-stable chaotic jerk system with two saddle-foci equilibrium points: analysis, synchronization via active backstepping control and electronic circuit design |
| title_full | A simple multi-stable chaotic jerk system with two saddle-foci equilibrium points: analysis, synchronization via active backstepping control and electronic circuit design |
| title_fullStr | A simple multi-stable chaotic jerk system with two saddle-foci equilibrium points: analysis, synchronization via active backstepping control and electronic circuit design |
| title_full_unstemmed | A simple multi-stable chaotic jerk system with two saddle-foci equilibrium points: analysis, synchronization via active backstepping control and electronic circuit design |
| title_short | A simple multi-stable chaotic jerk system with two saddle-foci equilibrium points: analysis, synchronization via active backstepping control and electronic circuit design |
| title_sort | simple multi stable chaotic jerk system with two saddle foci equilibrium points analysis synchronization via active backstepping control and electronic circuit design |
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