Analysis and Control of Fractional Order Generalized Lorenz Chaotic System by Using Finite Time Synchronization
Joint Authors
Cui, Yan
He, Hongjun
Sun, Guan
Lu, Chenhui
Source
Advances in Mathematical Physics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-03
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this paper, we present a corresponding fractional order three-dimensional autonomous chaotic system based on a new class of integer order chaotic systems.
We found that the fractional order chaotic system belongs to the generalized Lorenz system family by analyzing its linear term and topological structure.
We also found that the equilibrium point generated by the fractional order system belongs to the unstable saddle point through the prediction correction method and the fractional order stability theory.
The complexity of fractional order chaotic system is given by spectral entropy algorithm and C0 algorithm.
We concluded that the fractional order chaotic system has a higher complexity.
The fractional order system can generate rich dynamic behavior phenomenon with the values of the parameters and the order changed.
We applied the finite time stability theory to design the finite time synchronous controller between drive system and corresponding system.
The numerical simulations demonstrate that the controller provides fast and efficient method in the synchronization process.
American Psychological Association (APA)
Cui, Yan& He, Hongjun& Sun, Guan& Lu, Chenhui. 2019. Analysis and Control of Fractional Order Generalized Lorenz Chaotic System by Using Finite Time Synchronization. Advances in Mathematical Physics،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1118908
Modern Language Association (MLA)
Cui, Yan…[et al.]. Analysis and Control of Fractional Order Generalized Lorenz Chaotic System by Using Finite Time Synchronization. Advances in Mathematical Physics No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1118908
American Medical Association (AMA)
Cui, Yan& He, Hongjun& Sun, Guan& Lu, Chenhui. Analysis and Control of Fractional Order Generalized Lorenz Chaotic System by Using Finite Time Synchronization. Advances in Mathematical Physics. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1118908
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1118908