Crisis event, hysteretic dynamics inducing coexistence of attractors and transient chaos in an autonomous RC hyperjerk like-chaotic circuit with cubic nonlinearity

In this paper, an autonomous RC hyperjerk like-chaotic circuit with cubic nonlinearity is introduced and investigated. The state equations of the proposed hyperjerk chaotic circuit are described using Kirchhoff’s laws. Some fundamental properties of the system such as symmetry, dissipation, equilibr...

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Bibliographic Details
Published in:The European physical journal. ST, Special topics Special topics, 2020-03, Vol.229 (6-7), p.1189-1210
Main Authors: Kamdoum Tamba, V., Feudjio, E. R., Kapche Tagne, F., Noumbissie Fankam, J., Fotsin, H. B.
Format: Article
Language:English
Subjects:
Atomic
Chaos theory
Circuits
Classical and Continuum Physics
Computer simulation
Condensed Matter Physics
Equations of state
Hardware
Hysteresis
Materials Science
Measurement Science and Instrumentation
Molecular
Nonlinearity
Optical and Plasma Physics
Physics
Physics and Astronomy
Regular Article
Simulation
Special Chaotic Systems
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Summary:In this paper, an autonomous RC hyperjerk like-chaotic circuit with cubic nonlinearity is introduced and investigated. The state equations of the proposed hyperjerk chaotic circuit are described using Kirchhoff’s laws. Some fundamental properties of the system such as symmetry, dissipation, equilibrium points and stability are examined. It is found that the system has three equilibrium points which are all unstable. By varying the parameters of the system, it is revealed from numerical simulations that the system exhibits some interesting dynamics including crisis event, hysteretic dynamics (inducing the coexistence of attractors) and transient chaos. To the best of the authors’ knowledge, the results of this work represent the first report on the phenomenon of transient chaos in a hyperjerk like-chaotic system and thus deserve dissemination. Hardware experiments are performed to support numerical simulations. The results from hardware experiments are in good agreement with numerical simulations.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjst/e2020-900176-0