A Fractional-Order Chaotic System With Infinite Attractor Coexistence and its DSP Implementation
In this article, the fractional calculus is introduced into a simplest memristive circuit to construct a new four-dimensional fractional-order chaotic system. Combining conformable differential definition and Adomian decomposition method (ADM) algorithm is used to solve the numerical solution of the...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2020-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9247206/ |
| _version_ | 1831558657593049088 |
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| author | Tianming Liu Jiawu Yu Huizhen Yan Jun Mou |
| author_facet | Tianming Liu Jiawu Yu Huizhen Yan Jun Mou |
| author_sort | Tianming Liu |
| collection | DOAJ |
| description | In this article, the fractional calculus is introduced into a simplest memristive circuit to construct a new four-dimensional fractional-order chaotic system. Combining conformable differential definition and Adomian decomposition method (ADM) algorithm is used to solve the numerical solution of the system. The attractor coexistence of the fractional-order system is investigated from the attractor phase diagram, coexistence bifurcation model, coexistence Lyapunov exponent spectrum and attractor basin. In addition, the hardware circuit of the system is implemented on the DSP platform. The simulation results show that the fractional-order chaotic system exhibits rich dynamic characteristics. In particular, the initial value of the system could control the offset, amplitude and frequency of the attractor better, and increase the complexity and randomness of the chaotic sequences. The research provides theoretical basis and guidance for the applications of fractional-order chaotic system. |
| first_indexed | 2024-12-17T05:13:19Z |
| format | Article |
| id | doaj.art-40db17bbbcd84daca5704ad2f0fe52b6 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-17T05:13:19Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-40db17bbbcd84daca5704ad2f0fe52b62022-12-21T22:02:11ZengIEEEIEEE Access2169-35362020-01-01819985219986310.1109/ACCESS.2020.30353689247206A Fractional-Order Chaotic System With Infinite Attractor Coexistence and its DSP ImplementationTianming Liu0Jiawu Yu1https://orcid.org/0000-0002-6056-6634Huizhen Yan2Jun Mou3https://orcid.org/0000-0002-7774-2833School of Information Science and Engineering, Dalian Polytechnic University, Dalian, ChinaSchool of Information Science and Engineering, Dalian Polytechnic University, Dalian, ChinaSchool of Information Science and Engineering, Dalian Polytechnic University, Dalian, ChinaSchool of Information Science and Engineering, Dalian Polytechnic University, Dalian, ChinaIn this article, the fractional calculus is introduced into a simplest memristive circuit to construct a new four-dimensional fractional-order chaotic system. Combining conformable differential definition and Adomian decomposition method (ADM) algorithm is used to solve the numerical solution of the system. The attractor coexistence of the fractional-order system is investigated from the attractor phase diagram, coexistence bifurcation model, coexistence Lyapunov exponent spectrum and attractor basin. In addition, the hardware circuit of the system is implemented on the DSP platform. The simulation results show that the fractional-order chaotic system exhibits rich dynamic characteristics. In particular, the initial value of the system could control the offset, amplitude and frequency of the attractor better, and increase the complexity and randomness of the chaotic sequences. The research provides theoretical basis and guidance for the applications of fractional-order chaotic system.https://ieeexplore.ieee.org/document/9247206/Fractional-order chaotic systemCADM algorithmcoexistence of infinite attractorschaotic degradationDSP implement |
| spellingShingle | Tianming Liu Jiawu Yu Huizhen Yan Jun Mou A Fractional-Order Chaotic System With Infinite Attractor Coexistence and its DSP Implementation IEEE Access Fractional-order chaotic system CADM algorithm coexistence of infinite attractors chaotic degradation DSP implement |
| title | A Fractional-Order Chaotic System With Infinite Attractor Coexistence and its DSP Implementation |
| title_full | A Fractional-Order Chaotic System With Infinite Attractor Coexistence and its DSP Implementation |
| title_fullStr | A Fractional-Order Chaotic System With Infinite Attractor Coexistence and its DSP Implementation |
| title_full_unstemmed | A Fractional-Order Chaotic System With Infinite Attractor Coexistence and its DSP Implementation |
| title_short | A Fractional-Order Chaotic System With Infinite Attractor Coexistence and its DSP Implementation |
| title_sort | fractional order chaotic system with infinite attractor coexistence and its dsp implementation |
| topic | Fractional-order chaotic system CADM algorithm coexistence of infinite attractors chaotic degradation DSP implement |
| url | https://ieeexplore.ieee.org/document/9247206/ |
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