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A Novel Autonomous 5-D Hyperjerk RC Circuit with Hyperbolic Sine Function
Joint Authors
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-03
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
A novel autonomous 5-D hyperjerk RC circuit with hyperbolic sine function is proposed in this paper.
Compared to some existing 5-D systems like the 5-D Sprott B system, the 5-D Lorentz, and the Lorentz-like systems, the new system is the simplest 5-D system with complex dynamics reported to date.
Its simplicity mainly relies on its nonlinear part which is synthetized using only two semiconductor diodes.
The system displays only one equilibrium point and can exhibit both periodic and chaotic dynamical behavior.
The complex dynamics of the system is investigated by means of bifurcation analysis.
In particular, the striking phenomenon of multistability is revealed showing up to seven coexisting attractors in phase space depending solely on the system’s initial state.
To the best of author’s knowledge, this rich dynamics has not yet been revealed in any 5-D dynamical system in general or particularly in any hyperjerk system.
Pspice circuit simulations are performed to verify theoretical/numerical analysis.
American Psychological Association (APA)
Tsafack, N.& Kengne, J.. 2018. A Novel Autonomous 5-D Hyperjerk RC Circuit with Hyperbolic Sine Function. The Scientific World Journal،Vol. 2018, no. 2018, pp.1-17.
https://search.emarefa.net/detail/BIM-1215602
Modern Language Association (MLA)
Tsafack, N.& Kengne, J.. A Novel Autonomous 5-D Hyperjerk RC Circuit with Hyperbolic Sine Function. The Scientific World Journal No. 2018 (2018), pp.1-17.
https://search.emarefa.net/detail/BIM-1215602
American Medical Association (AMA)
Tsafack, N.& Kengne, J.. A Novel Autonomous 5-D Hyperjerk RC Circuit with Hyperbolic Sine Function. The Scientific World Journal. 2018. Vol. 2018, no. 2018, pp.1-17.
https://search.emarefa.net/detail/BIM-1215602
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1215602