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Asymmetric Double Strange Attractors in a Simple Autonomous Jerk Circuit
Joint Authors
Kenne, Godpromesse
Kom, G. H.
Kengne, J.
Mboupda Pone, J. R.
Tiedeu, A. B.
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-02-08
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
The dynamics of a simple autonomous jerk circuit previously introduced by Sprott in 2011 are investigated.
In this paper, the model is described by a three-time continuous dimensional autonomous system with an exponential nonlinearity.
Using standard nonlinear techniques such as time series, bifurcation diagrams, Lyapunov exponent plots, and Poincaré sections, the dynamics of the system are characterized with respect to its parameters.
Period-doubling bifurcations, periodic windows, and coexisting bifurcations are reported.
As a major result of this work, it is found that the system experiences the unusual phenomenon of asymmetric bistability marked by the presence of two different attractors (e.g., screw-like Shilnikov attractor with a spiralling-like Feigenbaum attractor) for the same parameters setting, depending solely on the choice of initial states.
Among few cases of lower dimensional systems capable of such type of behavior reported to date (e.g., Colpitts oscillator, Newton–Leipnik system, and hyperchaotic oscillator with gyrators), the jerk circuit/system considered in this work represents the simplest prototype.
Results of theoretical analysis are perfectly reproduced by laboratory experimental measurements.
American Psychological Association (APA)
Kom, G. H.& Kengne, J.& Mboupda Pone, J. R.& Kenne, Godpromesse& Tiedeu, A. B.. 2018. Asymmetric Double Strange Attractors in a Simple Autonomous Jerk Circuit. Complexity،Vol. 2018, no. 2018, pp.1-16.
https://search.emarefa.net/detail/BIM-1134245
Modern Language Association (MLA)
Kom, G. H.…[et al.]. Asymmetric Double Strange Attractors in a Simple Autonomous Jerk Circuit. Complexity No. 2018 (2018), pp.1-16.
https://search.emarefa.net/detail/BIM-1134245
American Medical Association (AMA)
Kom, G. H.& Kengne, J.& Mboupda Pone, J. R.& Kenne, Godpromesse& Tiedeu, A. B.. Asymmetric Double Strange Attractors in a Simple Autonomous Jerk Circuit. Complexity. 2018. Vol. 2018, no. 2018, pp.1-16.
https://search.emarefa.net/detail/BIM-1134245
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1134245