Multistability Analysis and Digital Circuit Implementation of a New Conformable Fractional-Order Chaotic System
Combining conformable differential definition and Adomian decomposition method (ADM) algorithm, the dynamics of a new 4-D fractional-order chaotic system was studied through numerical simulation in this paper. The dissipation of the system and the stability of the equilibrium points were analyzed. T...
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| Published in | Mobile networks and applications Vol. 28; no. 2; pp. 561 - 570 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
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New York
Springer US
01.04.2023
Springer Nature B.V |
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| Online Access | Get full text |
| ISSN | 1383-469X 1572-8153 |
| DOI | 10.1007/s11036-020-01603-6 |
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| Abstract | Combining conformable differential definition and Adomian decomposition method (ADM) algorithm, the dynamics of a new 4-D fractional-order chaotic system was studied through numerical simulation in this paper. The dissipation of the system and the stability of the equilibrium points were analyzed. The evolution of the coexistence attractors with different parameters and orders were analyzed through the coexistence bifurcation diagrams, coexistence Lyapunov exponent spectrums and coexistence phase diagrams. In addition, the 0–1 test is used as an auxiliary method to verify the attractor status of the system. It is novel to use the attraction basin to investigate the dynamic behaviors of the system when two parameters change at the same time. Moreover, the digital signal processing (DSP) technology was used to simulate the fractional-order chaotic system on digital circuits, and the results are consistent with numerical simulation on computer. This research provides theoretical basis and guidance for the applications and teaching of fractional-order chaotic systems. |
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| AbstractList | Combining conformable differential definition and Adomian decomposition method (ADM) algorithm, the dynamics of a new 4-D fractional-order chaotic system was studied through numerical simulation in this paper. The dissipation of the system and the stability of the equilibrium points were analyzed. The evolution of the coexistence attractors with different parameters and orders were analyzed through the coexistence bifurcation diagrams, coexistence Lyapunov exponent spectrums and coexistence phase diagrams. In addition, the 0–1 test is used as an auxiliary method to verify the attractor status of the system. It is novel to use the attraction basin to investigate the dynamic behaviors of the system when two parameters change at the same time. Moreover, the digital signal processing (DSP) technology was used to simulate the fractional-order chaotic system on digital circuits, and the results are consistent with numerical simulation on computer. This research provides theoretical basis and guidance for the applications and teaching of fractional-order chaotic systems. |
| Author | Li, Peng Ma, Chenguang Mou, Jun Yang, Feifei Liu, Tianming |
| Author_xml | – sequence: 1 givenname: Chenguang surname: Ma fullname: Ma, Chenguang organization: School of Information Science and Engineering, Dalian polytechnic University – sequence: 2 givenname: Jun orcidid: 0000-0002-7774-2833 surname: Mou fullname: Mou, Jun email: moujun@csu.edu.cn organization: School of Information Science and Engineering, Dalian polytechnic University – sequence: 3 givenname: Peng surname: Li fullname: Li, Peng organization: School of Information Science and Engineering, Dalian polytechnic University – sequence: 4 givenname: Feifei surname: Yang fullname: Yang, Feifei organization: School of Information Science and Engineering, Dalian polytechnic University – sequence: 5 givenname: Tianming surname: Liu fullname: Liu, Tianming organization: School of Information Science and Engineering, Dalian polytechnic University |
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| CitedBy_id | crossref_primary_10_1109_ACCESS_2021_3136249 crossref_primary_10_3390_fractalfract5030122 crossref_primary_10_1016_j_chaos_2021_111185 crossref_primary_10_1088_1402_4896_ad27c2 crossref_primary_10_1088_1402_4896_ac4944 |
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| Keywords | DSP Coexistence attractors ADM algorithm Attraction basin Conformable differential |
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