Fixed-Time Synchronization of the New Single-Parameter Chaotic System
This paper advances a new single-parameter chaotic system with a simple structure, and some basic dynamic behavior of the new single-parameter system is discussed, such as equilibria, dissipativity, the existence of an attractor, Lyapunov exponent, Poincaré map, spectrum map, and bifurcation diagram...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/1067863 |
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| _version_ | 1850221877109194752 |
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| author | Yifeng Wei Xia Qing Xie Chengrong Yuhua Xu |
| author_facet | Yifeng Wei Xia Qing Xie Chengrong Yuhua Xu |
| author_sort | Yifeng Wei |
| collection | DOAJ |
| description | This paper advances a new single-parameter chaotic system with a simple structure, and some basic dynamic behavior of the new single-parameter system is discussed, such as equilibria, dissipativity, the existence of an attractor, Lyapunov exponent, Poincaré map, spectrum map, and bifurcation diagram. Moreover, a new fixed-time convergence theorem is proposed for general chaotic systems based on finite-time control theory, and a fixed-time controller is also put to achieve synchronization of the new chaotic system. Simulation results are presented to show the effectiveness of the theoretical results. The conclusion of the paper is useful for the nonlinear economics and engineering application. |
| format | Article |
| id | doaj-art-715c1cece3c94ee1a0624ebb4df174c8 |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-715c1cece3c94ee1a0624ebb4df174c82025-08-20T02:06:35ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/10678631067863Fixed-Time Synchronization of the New Single-Parameter Chaotic SystemYifeng Wei0Xia Qing1Xie Chengrong2Yuhua Xu3School of Economy and Management, Hanjiang Normal University, Shiyan, Hubei 442000, ChinaSchool of Economics, Wuhan Donghu University, Wuhan 430212, ChinaSchool of Statistics and Mathematics, Nanjing Audit University, Nanjing, Jiangsu 211815, ChinaSchool of Finance, Nanjing Audit University, Nanjing, Jiangsu 211815, ChinaThis paper advances a new single-parameter chaotic system with a simple structure, and some basic dynamic behavior of the new single-parameter system is discussed, such as equilibria, dissipativity, the existence of an attractor, Lyapunov exponent, Poincaré map, spectrum map, and bifurcation diagram. Moreover, a new fixed-time convergence theorem is proposed for general chaotic systems based on finite-time control theory, and a fixed-time controller is also put to achieve synchronization of the new chaotic system. Simulation results are presented to show the effectiveness of the theoretical results. The conclusion of the paper is useful for the nonlinear economics and engineering application.http://dx.doi.org/10.1155/2020/1067863 |
| spellingShingle | Yifeng Wei Xia Qing Xie Chengrong Yuhua Xu Fixed-Time Synchronization of the New Single-Parameter Chaotic System Complexity |
| title | Fixed-Time Synchronization of the New Single-Parameter Chaotic System |
| title_full | Fixed-Time Synchronization of the New Single-Parameter Chaotic System |
| title_fullStr | Fixed-Time Synchronization of the New Single-Parameter Chaotic System |
| title_full_unstemmed | Fixed-Time Synchronization of the New Single-Parameter Chaotic System |
| title_short | Fixed-Time Synchronization of the New Single-Parameter Chaotic System |
| title_sort | fixed time synchronization of the new single parameter chaotic system |
| url | http://dx.doi.org/10.1155/2020/1067863 |
| work_keys_str_mv | AT yifengwei fixedtimesynchronizationofthenewsingleparameterchaoticsystem AT xiaqing fixedtimesynchronizationofthenewsingleparameterchaoticsystem AT xiechengrong fixedtimesynchronizationofthenewsingleparameterchaoticsystem AT yuhuaxu fixedtimesynchronizationofthenewsingleparameterchaoticsystem |