A simple multi-stable chaotic jerk system with two saddle-foci equilibrium points: analysis, synchronization via backstepping technique and MultiSim 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...
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| Veröffentlicht in: | International journal of electrical and computer engineering (Malacca, Malacca) Malacca), 2021-08, Vol.11 (4), p.2941 |
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| container_title | International journal of electrical and computer engineering (Malacca, Malacca) |
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| creator | Sambas, Aceng Vaidyanathan, Sundarapandian Moroz, Irene M. Idowu, Babatunde Mohamed, Mohamad Afendee Mamat, Mustafa Sanjaya, W. S. Mada |
| 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 |
| doi_str_mv | 10.11591/ijece.v11i4.pp2941-2952 |
| format | Article |
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| ispartof | International journal of electrical and computer engineering (Malacca, Malacca), 2021-08, Vol.11 (4), p.2941 |
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| language | eng |
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| source | EZB-FREE-00999 freely available EZB journals |
| subjects | Chaos theory Circuit design Equilibrium Liapunov exponents Qualitative analysis Synchronism |
| title | A simple multi-stable chaotic jerk system with two saddle-foci equilibrium points: analysis, synchronization via backstepping technique and MultiSim circuit design |
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