A New Simple 6D Hyperchaotic System with Hyperbolic Equilibrium and Its Electronic Circuit
This paper represents a sequential design of controlling from a 3D chaotic system to a simple 6D hyperchaotic system by adding three linear controllers via state feedback control and coupling strategies. The new 6D system has a unique non-hyperbolic equilibrium point with four positive Lyapunov exp...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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College of Education, Al-Iraqia University
2023-01-01
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| Series: | Iraqi Journal for Computer Science and Mathematics |
| Subjects: | |
| Online Access: | https://journal.esj.edu.iq/index.php/IJCM/article/view/440 |
| _version_ | 1827781479923449856 |
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| author | Zaidoon Sh. Al-Talib saad fawzi Al-Azzawi |
| author_facet | Zaidoon Sh. Al-Talib saad fawzi Al-Azzawi |
| author_sort | Zaidoon Sh. Al-Talib |
| collection | DOAJ |
| description |
This paper represents a sequential design of controlling from a 3D chaotic system to a simple 6D hyperchaotic system by adding three linear controllers via state feedback control and coupling strategies. The new 6D system has a unique non-hyperbolic equilibrium point with four positive Lyapunov exponents (LE). Moreover, some dynamic properties are analyzed which inclined equilibrium and their stability, dissipative, conservative, and multistability. In addition, the corresponding analog electronic circuit is designed and implemented to verify the new simple 6D hyperchaotic system. Finally, the NI Multisim simulation results observed from the digital oscilloscope are consistent with the mathematical simulation based on the Matlab R2021a.
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| first_indexed | 2024-03-11T15:19:17Z |
| format | Article |
| id | doaj.art-8e890a5990404528a7fc9d5a490cd4df |
| institution | Directory Open Access Journal |
| issn | 2958-0544 2788-7421 |
| language | English |
| last_indexed | 2024-03-11T15:19:17Z |
| publishDate | 2023-01-01 |
| publisher | College of Education, Al-Iraqia University |
| record_format | Article |
| series | Iraqi Journal for Computer Science and Mathematics |
| spelling | doaj.art-8e890a5990404528a7fc9d5a490cd4df2023-10-29T06:16:21ZengCollege of Education, Al-Iraqia UniversityIraqi Journal for Computer Science and Mathematics2958-05442788-74212023-01-014110.52866/ijcsm.2023.01.01.0013A New Simple 6D Hyperchaotic System with Hyperbolic Equilibrium and Its Electronic CircuitZaidoon Sh. Al-Talib0saad fawzi Al-Azzawi 1Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, IRAQDepartment of Mathematics, College of Computer Science and Mathematics, University of Mosul, IRAQ This paper represents a sequential design of controlling from a 3D chaotic system to a simple 6D hyperchaotic system by adding three linear controllers via state feedback control and coupling strategies. The new 6D system has a unique non-hyperbolic equilibrium point with four positive Lyapunov exponents (LE). Moreover, some dynamic properties are analyzed which inclined equilibrium and their stability, dissipative, conservative, and multistability. In addition, the corresponding analog electronic circuit is designed and implemented to verify the new simple 6D hyperchaotic system. Finally, the NI Multisim simulation results observed from the digital oscilloscope are consistent with the mathematical simulation based on the Matlab R2021a. https://journal.esj.edu.iq/index.php/IJCM/article/view/440Simple 6D systemHyperbolic equilibriumLyapunov exponentsMultistabilityElectronic circuit |
| spellingShingle | Zaidoon Sh. Al-Talib saad fawzi Al-Azzawi A New Simple 6D Hyperchaotic System with Hyperbolic Equilibrium and Its Electronic Circuit Iraqi Journal for Computer Science and Mathematics Simple 6D system Hyperbolic equilibrium Lyapunov exponents Multistability Electronic circuit |
| title | A New Simple 6D Hyperchaotic System with Hyperbolic Equilibrium and Its Electronic Circuit |
| title_full | A New Simple 6D Hyperchaotic System with Hyperbolic Equilibrium and Its Electronic Circuit |
| title_fullStr | A New Simple 6D Hyperchaotic System with Hyperbolic Equilibrium and Its Electronic Circuit |
| title_full_unstemmed | A New Simple 6D Hyperchaotic System with Hyperbolic Equilibrium and Its Electronic Circuit |
| title_short | A New Simple 6D Hyperchaotic System with Hyperbolic Equilibrium and Its Electronic Circuit |
| title_sort | new simple 6d hyperchaotic system with hyperbolic equilibrium and its electronic circuit |
| topic | Simple 6D system Hyperbolic equilibrium Lyapunov exponents Multistability Electronic circuit |
| url | https://journal.esj.edu.iq/index.php/IJCM/article/view/440 |
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