A New Fractional-Order Hyperchaotic System and Its Adaptive Tracking Control
We construct for the first time a fractional-order hyperchaotic system via the original integer-order system. The dynamical behavior of this fractional-order hyperchaotic system is investigated in detail using first approximation method and Lyapunov exponents. Next, an adaptive control strategy for...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2021/6625765 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832563461234622464 |
|---|---|
| author | Yinlan Chen Haodong Zhang Xu Kong |
| author_facet | Yinlan Chen Haodong Zhang Xu Kong |
| author_sort | Yinlan Chen |
| collection | DOAJ |
| description | We construct for the first time a fractional-order hyperchaotic system via the original integer-order system. The dynamical behavior of this fractional-order hyperchaotic system is investigated in detail using first approximation method and Lyapunov exponents. Next, an adaptive control strategy for the univariate controlled hyperchaotic system has been proposed. Also, the tracking performance is fully taken into account in numerous applications, for instance, tracking sinusoidal periodic signal, self-synchronization, and generalized synchronization of heterogeneous structure. Simulation results illustrate the validity and performability of the proposed adaptive tracking control scheme. |
| format | Article |
| id | doaj-art-e3a04b0a6e334c86a7f0bea75839424e |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e3a04b0a6e334c86a7f0bea75839424e2025-02-03T01:20:10ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/66257656625765A New Fractional-Order Hyperchaotic System and Its Adaptive Tracking ControlYinlan Chen0Haodong Zhang1Xu Kong2College of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, ChinaWuhan Research Institute of Posts and Telecommunications, Wuhan 430074, ChinaSchool of Mathematical Science, Liaocheng University, Liaocheng 252000, ChinaWe construct for the first time a fractional-order hyperchaotic system via the original integer-order system. The dynamical behavior of this fractional-order hyperchaotic system is investigated in detail using first approximation method and Lyapunov exponents. Next, an adaptive control strategy for the univariate controlled hyperchaotic system has been proposed. Also, the tracking performance is fully taken into account in numerous applications, for instance, tracking sinusoidal periodic signal, self-synchronization, and generalized synchronization of heterogeneous structure. Simulation results illustrate the validity and performability of the proposed adaptive tracking control scheme.http://dx.doi.org/10.1155/2021/6625765 |
| spellingShingle | Yinlan Chen Haodong Zhang Xu Kong A New Fractional-Order Hyperchaotic System and Its Adaptive Tracking Control Discrete Dynamics in Nature and Society |
| title | A New Fractional-Order Hyperchaotic System and Its Adaptive Tracking Control |
| title_full | A New Fractional-Order Hyperchaotic System and Its Adaptive Tracking Control |
| title_fullStr | A New Fractional-Order Hyperchaotic System and Its Adaptive Tracking Control |
| title_full_unstemmed | A New Fractional-Order Hyperchaotic System and Its Adaptive Tracking Control |
| title_short | A New Fractional-Order Hyperchaotic System and Its Adaptive Tracking Control |
| title_sort | new fractional order hyperchaotic system and its adaptive tracking control |
| url | http://dx.doi.org/10.1155/2021/6625765 |
| work_keys_str_mv | AT yinlanchen anewfractionalorderhyperchaoticsystemanditsadaptivetrackingcontrol AT haodongzhang anewfractionalorderhyperchaoticsystemanditsadaptivetrackingcontrol AT xukong anewfractionalorderhyperchaoticsystemanditsadaptivetrackingcontrol AT yinlanchen newfractionalorderhyperchaoticsystemanditsadaptivetrackingcontrol AT haodongzhang newfractionalorderhyperchaoticsystemanditsadaptivetrackingcontrol AT xukong newfractionalorderhyperchaoticsystemanditsadaptivetrackingcontrol |