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Dynamic Analysis and Circuit Implementation of a New 4D Lorenz-Type Hyperchaotic System
Joint Authors
Al-khedhairi, A.
Elsonbaty, Amr
Abdel Kader, A. H.
Elsadany, A. A.
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-06
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
This paper attempts to further extend the results of dynamical analysis carried out on a recent 4D Lorenz-type hyperchaotic system while exploring new analytical results concerns its local and global dynamics.
In particular, the equilibrium points of the system along with solution’s continuous dependence on initial conditions are examined.
Then, a detailed Z2 symmetrical Bogdanov-Takens bifurcation analysis of the hyperchaotic system is performed.
Also, the possible first integrals and global invariant surfaces which exist in system’s phase space are analytically found.
Theoretical results reveal the rich dynamics and the complexity of system behavior.
Finally, numerical simulations and a proposed circuit implementation of the hyperchaotic system are provided to validate the present analytical study of the system.
American Psychological Association (APA)
Al-khedhairi, A.& Elsonbaty, Amr& Abdel Kader, A. H.& Elsadany, A. A.. 2019. Dynamic Analysis and Circuit Implementation of a New 4D Lorenz-Type Hyperchaotic System. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-17.
https://search.emarefa.net/detail/BIM-1196635
Modern Language Association (MLA)
Al-khedhairi, A.…[et al.]. Dynamic Analysis and Circuit Implementation of a New 4D Lorenz-Type Hyperchaotic System. Mathematical Problems in Engineering No. 2019 (2019), pp.1-17.
https://search.emarefa.net/detail/BIM-1196635
American Medical Association (AMA)
Al-khedhairi, A.& Elsonbaty, Amr& Abdel Kader, A. H.& Elsadany, A. A.. Dynamic Analysis and Circuit Implementation of a New 4D Lorenz-Type Hyperchaotic System. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-17.
https://search.emarefa.net/detail/BIM-1196635
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196635