A New Fractional-Order Chaotic Complex System and Its Antisynchronization
We propose a new fractional-order chaotic complex system and study its dynamical properties including symmetry, equilibria and their stability, and chaotic attractors. Chaotic behavior is verified with phase portraits, bifurcation diagrams, the histories, and the largest Lyapunov exponents. And we f...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/326354 |
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| _version_ | 1832556244997505024 |
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| author | Cuimei Jiang Shutang Liu Chao Luo |
| author_facet | Cuimei Jiang Shutang Liu Chao Luo |
| author_sort | Cuimei Jiang |
| collection | DOAJ |
| description | We propose a new fractional-order chaotic complex system and study its dynamical properties including symmetry, equilibria and their stability, and chaotic attractors. Chaotic behavior is verified
with phase portraits, bifurcation diagrams, the histories, and the largest Lyapunov exponents. And we find that chaos exists in this system with orders less than 5 by numerical simulation. Additionally, antisynchronization of different fractional-order chaotic complex systems is considered based on the stability theory of fractional-order systems. This new system and the fractional-order complex Lorenz system can achieve antisynchronization. Corresponding numerical simulations show the effectiveness and feasibility of the scheme. |
| format | Article |
| id | doaj-art-320c7615206e49769f59e4e0025e639b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-320c7615206e49769f59e4e0025e639b2025-02-03T05:45:58ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/326354326354A New Fractional-Order Chaotic Complex System and Its AntisynchronizationCuimei Jiang0Shutang Liu1Chao Luo2College of Control Science and Engineering, Shandong University, Jinan 250061, ChinaCollege of Control Science and Engineering, Shandong University, Jinan 250061, ChinaSchool of Information Science and Engineering, Shandong Normal University, Jinan 250014, ChinaWe propose a new fractional-order chaotic complex system and study its dynamical properties including symmetry, equilibria and their stability, and chaotic attractors. Chaotic behavior is verified with phase portraits, bifurcation diagrams, the histories, and the largest Lyapunov exponents. And we find that chaos exists in this system with orders less than 5 by numerical simulation. Additionally, antisynchronization of different fractional-order chaotic complex systems is considered based on the stability theory of fractional-order systems. This new system and the fractional-order complex Lorenz system can achieve antisynchronization. Corresponding numerical simulations show the effectiveness and feasibility of the scheme.http://dx.doi.org/10.1155/2014/326354 |
| spellingShingle | Cuimei Jiang Shutang Liu Chao Luo A New Fractional-Order Chaotic Complex System and Its Antisynchronization Abstract and Applied Analysis |
| title | A New Fractional-Order Chaotic Complex System and Its Antisynchronization |
| title_full | A New Fractional-Order Chaotic Complex System and Its Antisynchronization |
| title_fullStr | A New Fractional-Order Chaotic Complex System and Its Antisynchronization |
| title_full_unstemmed | A New Fractional-Order Chaotic Complex System and Its Antisynchronization |
| title_short | A New Fractional-Order Chaotic Complex System and Its Antisynchronization |
| title_sort | new fractional order chaotic complex system and its antisynchronization |
| url | http://dx.doi.org/10.1155/2014/326354 |
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