A Four-Dimensional Hyperchaotic Finance System and Its Control Problems
Author
Source
Journal of Control Science and Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-02-01
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Electronic engineering
Information Technology and Computer Science
Abstract EN
The construction and several control problems of a new hyperchaotic finance system are investigated in this paper.
Firstly, a new four-dimensional hyperchaotic finance system is introduced, based on which a new hyperchaos is then generated by setting parameters.
And the qualitative analysis is numerically studied to confirm the dynamical processes, for example, the bifurcation diagram, Poincaré sections, Lyapunov exponents, and phase portraits.
Interestingly, the obtained results show that this new system can display complex characteristics: chaotic, hyperchaotic, and quasiperiodic phenomena occur alternately versus parameters.
Secondly, three single input adaptive controllers are designed to realize the control problems of such system: stabilization, synchronization, and coexistence of antisynchronization and complete synchronization, respectively.
It is noted that the designed controllers are simpler than the existing ones.
Finally, numerical simulations are provided to demonstrate the validity and the effectiveness of the proposed theoretical results.
American Psychological Association (APA)
Cao, Lin. 2018. A Four-Dimensional Hyperchaotic Finance System and Its Control Problems. Journal of Control Science and Engineering،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1183008
Modern Language Association (MLA)
Cao, Lin. A Four-Dimensional Hyperchaotic Finance System and Its Control Problems. Journal of Control Science and Engineering No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1183008
American Medical Association (AMA)
Cao, Lin. A Four-Dimensional Hyperchaotic Finance System and Its Control Problems. Journal of Control Science and Engineering. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1183008
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1183008