Dynamic Analysis and Finite-Time Synchronization of a New Hyperchaotic System With Coexisting Attractors
This paper generates an augmented hyperchaotic system from the famous Lorenz system. The hyperchaotic system has complex dynamic properties, including stability, periodicity, multiple coexisting attractors, period-doubling and Hopf bifurcations, and hyperchaos for different parameter conditions and...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/8693722/ |
| _version_ | 1818556944851402752 |
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| author | Chengqun Zhou Chunhua Yang Degang Xu Chao-Yang Chen |
| author_facet | Chengqun Zhou Chunhua Yang Degang Xu Chao-Yang Chen |
| author_sort | Chengqun Zhou |
| collection | DOAJ |
| description | This paper generates an augmented hyperchaotic system from the famous Lorenz system. The hyperchaotic system has complex dynamic properties, including stability, periodicity, multiple coexisting attractors, period-doubling and Hopf bifurcations, and hyperchaos for different parameter conditions and all these dynamic properties are presented by detailed theoretical and numerical analysis. Moreover, the finite-time synchronization of the hyperchaotic system is considered by using the state-error controller. Both the sufficient conditions for finite-time synchronization and the corresponding finite time are strictly established. |
| first_indexed | 2024-12-13T23:53:44Z |
| format | Article |
| id | doaj.art-12809c7f04a74b41bf19dc861985acd7 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-13T23:53:44Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-12809c7f04a74b41bf19dc861985acd72022-12-21T23:26:41ZengIEEEIEEE Access2169-35362019-01-017528965290210.1109/ACCESS.2019.29114868693722Dynamic Analysis and Finite-Time Synchronization of a New Hyperchaotic System With Coexisting AttractorsChengqun Zhou0Chunhua Yang1Degang Xu2Chao-Yang Chen3https://orcid.org/0000-0002-8095-399XSchool of Information Science and Engineering, Central South University, Changsha, ChinaSchool of Information Science and Engineering, Central South University, Changsha, ChinaSchool of Information Science and Engineering, Central South University, Changsha, ChinaSchool of Information Science and Engineering, Central South University, Changsha, ChinaThis paper generates an augmented hyperchaotic system from the famous Lorenz system. The hyperchaotic system has complex dynamic properties, including stability, periodicity, multiple coexisting attractors, period-doubling and Hopf bifurcations, and hyperchaos for different parameter conditions and all these dynamic properties are presented by detailed theoretical and numerical analysis. Moreover, the finite-time synchronization of the hyperchaotic system is considered by using the state-error controller. Both the sufficient conditions for finite-time synchronization and the corresponding finite time are strictly established.https://ieeexplore.ieee.org/document/8693722/Hyperchaotic systemcoexisting attractorsbifurcationsynchronizationLyapunov exponents |
| spellingShingle | Chengqun Zhou Chunhua Yang Degang Xu Chao-Yang Chen Dynamic Analysis and Finite-Time Synchronization of a New Hyperchaotic System With Coexisting Attractors IEEE Access Hyperchaotic system coexisting attractors bifurcation synchronization Lyapunov exponents |
| title | Dynamic Analysis and Finite-Time Synchronization of a New Hyperchaotic System With Coexisting Attractors |
| title_full | Dynamic Analysis and Finite-Time Synchronization of a New Hyperchaotic System With Coexisting Attractors |
| title_fullStr | Dynamic Analysis and Finite-Time Synchronization of a New Hyperchaotic System With Coexisting Attractors |
| title_full_unstemmed | Dynamic Analysis and Finite-Time Synchronization of a New Hyperchaotic System With Coexisting Attractors |
| title_short | Dynamic Analysis and Finite-Time Synchronization of a New Hyperchaotic System With Coexisting Attractors |
| title_sort | dynamic analysis and finite time synchronization of a new hyperchaotic system with coexisting attractors |
| topic | Hyperchaotic system coexisting attractors bifurcation synchronization Lyapunov exponents |
| url | https://ieeexplore.ieee.org/document/8693722/ |
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