Dynamics and Complexity Analysis of Fractional-Order Chaotic Systems with Line Equilibrium Based on Adomian Decomposition
In this paper, the Adomian decomposition method (ADM) is applied to solve the fractional-order system with line equilibrium. The dynamics of the system is analyzed by means of the Lyapunov exponent spectrum, bifurcations, chaotic attractor, and largest Lyapunov exponent diagram. At the same time, th...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/5710765 |
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| _version_ | 1832560220646146048 |
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| author | Heng Chen Tengfei Lei Su Lu WenPeng Dai Lijun Qiu Lin Zhong |
| author_facet | Heng Chen Tengfei Lei Su Lu WenPeng Dai Lijun Qiu Lin Zhong |
| author_sort | Heng Chen |
| collection | DOAJ |
| description | In this paper, the Adomian decomposition method (ADM) is applied to solve the fractional-order system with line equilibrium. The dynamics of the system is analyzed by means of the Lyapunov exponent spectrum, bifurcations, chaotic attractor, and largest Lyapunov exponent diagram. At the same time, through the Lyapunov exponent spectrum and bifurcation graph of the system under the change of the initial value, the influence of fractional order q on the system state can be observed. That is, integer-order systems do not have the phenomenon of attractors coexistence, while fractional-order systems have it. |
| format | Article |
| id | doaj-art-fb7223e5682241b5934602a60b00d9d3 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-fb7223e5682241b5934602a60b00d9d32025-02-03T01:28:09ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/57107655710765Dynamics and Complexity Analysis of Fractional-Order Chaotic Systems with Line Equilibrium Based on Adomian DecompositionHeng Chen0Tengfei Lei1Su Lu2WenPeng Dai3Lijun Qiu4Lin Zhong5Shaanxi Engineering Research Center of Controllable Neutron Source, School of Science, Xijing University, Xi’an 710123, ChinaCollaborative Innovation Center of Memristive Computing Application, Qilu Institute of Technology, Jinan 250200, Shandong, ChinaSchool of Civil Engineering, Inner Mongolia University of Technology, Inner Mongolia, Huhehot 010051, ChinaCollaborative Innovation Center of Memristive Computing Application, Qilu Institute of Technology, Jinan 250200, Shandong, ChinaShaanxi Engineering Research Center of Controllable Neutron Source, School of Science, Xijing University, Xi’an 710123, ChinaShaanxi Engineering Research Center of Controllable Neutron Source, School of Science, Xijing University, Xi’an 710123, ChinaIn this paper, the Adomian decomposition method (ADM) is applied to solve the fractional-order system with line equilibrium. The dynamics of the system is analyzed by means of the Lyapunov exponent spectrum, bifurcations, chaotic attractor, and largest Lyapunov exponent diagram. At the same time, through the Lyapunov exponent spectrum and bifurcation graph of the system under the change of the initial value, the influence of fractional order q on the system state can be observed. That is, integer-order systems do not have the phenomenon of attractors coexistence, while fractional-order systems have it.http://dx.doi.org/10.1155/2020/5710765 |
| spellingShingle | Heng Chen Tengfei Lei Su Lu WenPeng Dai Lijun Qiu Lin Zhong Dynamics and Complexity Analysis of Fractional-Order Chaotic Systems with Line Equilibrium Based on Adomian Decomposition Complexity |
| title | Dynamics and Complexity Analysis of Fractional-Order Chaotic Systems with Line Equilibrium Based on Adomian Decomposition |
| title_full | Dynamics and Complexity Analysis of Fractional-Order Chaotic Systems with Line Equilibrium Based on Adomian Decomposition |
| title_fullStr | Dynamics and Complexity Analysis of Fractional-Order Chaotic Systems with Line Equilibrium Based on Adomian Decomposition |
| title_full_unstemmed | Dynamics and Complexity Analysis of Fractional-Order Chaotic Systems with Line Equilibrium Based on Adomian Decomposition |
| title_short | Dynamics and Complexity Analysis of Fractional-Order Chaotic Systems with Line Equilibrium Based on Adomian Decomposition |
| title_sort | dynamics and complexity analysis of fractional order chaotic systems with line equilibrium based on adomian decomposition |
| url | http://dx.doi.org/10.1155/2020/5710765 |
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