A New Hyperchaotic Two-Scroll System: Bifurcation Study, Multistability, Circuit Simulation, and FPGA Realization
With the swift advancement of chaos theory, the modeling, chaotic oscillations, and engineering applications of chaotic and hyperchaotic systems are important topics in research. In this research paper, we elucidate our findings of a new four-dimensional two-scroll hyperchaotic system having only tw...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/6604684 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849306298391199744 |
|---|---|
| author | Sundarapandian Vaidyanathan Aceng Sambas Esteban Tlelo-Cuautle Ciro Fabian Bermudez-Marquez Khaled Benkouider Samy Abdelwahab Safaan |
| author_facet | Sundarapandian Vaidyanathan Aceng Sambas Esteban Tlelo-Cuautle Ciro Fabian Bermudez-Marquez Khaled Benkouider Samy Abdelwahab Safaan |
| author_sort | Sundarapandian Vaidyanathan |
| collection | DOAJ |
| description | With the swift advancement of chaos theory, the modeling, chaotic oscillations, and engineering applications of chaotic and hyperchaotic systems are important topics in research. In this research paper, we elucidate our findings of a new four-dimensional two-scroll hyperchaotic system having only two quadratic nonlinearities and carry out a detailed bifurcation study of the proposed dynamical model. Also, an electronic circuit has been constructed for the new system using MultiSim (Version 14). The implementation of the new 4-D hyperchaotic system in a field-programmable gate array (FPGA) is performed herein by applying two numerical methods, viz. Forward Euler Method and Trapezoidal Method. The experimental results show a good match with the simulated hyperchaotic attractors. We also provide details of the hardware resources used for an FPGA Basys 3 Xilinx Artix-7 XC7A35T-ICPG236C. |
| format | Article |
| id | doaj-art-2e1891aaaa6e4cdab85c9748541cc427 |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-2e1891aaaa6e4cdab85c9748541cc4272025-08-20T03:55:07ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/6604684A New Hyperchaotic Two-Scroll System: Bifurcation Study, Multistability, Circuit Simulation, and FPGA RealizationSundarapandian Vaidyanathan0Aceng Sambas1Esteban Tlelo-Cuautle2Ciro Fabian Bermudez-Marquez3Khaled Benkouider4Samy Abdelwahab Safaan5Centre for Control SystemsMechanical Engineering DepartmentElectronics DepartmentElectronics DepartmentNon Destructive Testing LaboratoryDepartment of Natural and Applied SciencesWith the swift advancement of chaos theory, the modeling, chaotic oscillations, and engineering applications of chaotic and hyperchaotic systems are important topics in research. In this research paper, we elucidate our findings of a new four-dimensional two-scroll hyperchaotic system having only two quadratic nonlinearities and carry out a detailed bifurcation study of the proposed dynamical model. Also, an electronic circuit has been constructed for the new system using MultiSim (Version 14). The implementation of the new 4-D hyperchaotic system in a field-programmable gate array (FPGA) is performed herein by applying two numerical methods, viz. Forward Euler Method and Trapezoidal Method. The experimental results show a good match with the simulated hyperchaotic attractors. We also provide details of the hardware resources used for an FPGA Basys 3 Xilinx Artix-7 XC7A35T-ICPG236C.http://dx.doi.org/10.1155/2022/6604684 |
| spellingShingle | Sundarapandian Vaidyanathan Aceng Sambas Esteban Tlelo-Cuautle Ciro Fabian Bermudez-Marquez Khaled Benkouider Samy Abdelwahab Safaan A New Hyperchaotic Two-Scroll System: Bifurcation Study, Multistability, Circuit Simulation, and FPGA Realization Discrete Dynamics in Nature and Society |
| title | A New Hyperchaotic Two-Scroll System: Bifurcation Study, Multistability, Circuit Simulation, and FPGA Realization |
| title_full | A New Hyperchaotic Two-Scroll System: Bifurcation Study, Multistability, Circuit Simulation, and FPGA Realization |
| title_fullStr | A New Hyperchaotic Two-Scroll System: Bifurcation Study, Multistability, Circuit Simulation, and FPGA Realization |
| title_full_unstemmed | A New Hyperchaotic Two-Scroll System: Bifurcation Study, Multistability, Circuit Simulation, and FPGA Realization |
| title_short | A New Hyperchaotic Two-Scroll System: Bifurcation Study, Multistability, Circuit Simulation, and FPGA Realization |
| title_sort | new hyperchaotic two scroll system bifurcation study multistability circuit simulation and fpga realization |
| url | http://dx.doi.org/10.1155/2022/6604684 |
| work_keys_str_mv | AT sundarapandianvaidyanathan anewhyperchaotictwoscrollsystembifurcationstudymultistabilitycircuitsimulationandfpgarealization AT acengsambas anewhyperchaotictwoscrollsystembifurcationstudymultistabilitycircuitsimulationandfpgarealization AT estebantlelocuautle anewhyperchaotictwoscrollsystembifurcationstudymultistabilitycircuitsimulationandfpgarealization AT cirofabianbermudezmarquez anewhyperchaotictwoscrollsystembifurcationstudymultistabilitycircuitsimulationandfpgarealization AT khaledbenkouider anewhyperchaotictwoscrollsystembifurcationstudymultistabilitycircuitsimulationandfpgarealization AT samyabdelwahabsafaan anewhyperchaotictwoscrollsystembifurcationstudymultistabilitycircuitsimulationandfpgarealization AT sundarapandianvaidyanathan newhyperchaotictwoscrollsystembifurcationstudymultistabilitycircuitsimulationandfpgarealization AT acengsambas newhyperchaotictwoscrollsystembifurcationstudymultistabilitycircuitsimulationandfpgarealization AT estebantlelocuautle newhyperchaotictwoscrollsystembifurcationstudymultistabilitycircuitsimulationandfpgarealization AT cirofabianbermudezmarquez newhyperchaotictwoscrollsystembifurcationstudymultistabilitycircuitsimulationandfpgarealization AT khaledbenkouider newhyperchaotictwoscrollsystembifurcationstudymultistabilitycircuitsimulationandfpgarealization AT samyabdelwahabsafaan newhyperchaotictwoscrollsystembifurcationstudymultistabilitycircuitsimulationandfpgarealization |