A Chaotic Time-Delay System with Saturation Nonlinearity

Viet-Thanh Pham, Christos Volos and Sundarapandian Vaidyanathan
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Viet-Thanh Pham: Hanoi University of Science and Technology, Hanoi, Vietnam
Christos Volos: Aristotle University of Thessaloniki, Thessaloniki, Greece
Sundarapandian Vaidyanathan: Vel Tech University, Chennai, India

International Journal of System Dynamics Applications (IJSDA), 2017, vol. 6, issue 3, 111-129

Abstract: Complex dynamics are observed in time-delay systems because the presence of time delay could induce unexpected oscillations. Therefore, time-delay systems are effective for constructing chaotic signal generators which have used in various engineering applications. In this paper, a new system with a single scalar time delay and a saturation nonlinearity is introduced. Dynamics of such time-delay system are investigated by using phase planes, bifurcation diagrams and the maximum Lyapunov exponent with the variance of system parameters. It is interesting that the time-delay system can generate double-scroll chaotic attractors despite its elegant model. Circuitry of the system is also presented to show the feasibility of the theoretical model.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:igg:jsda00:v:6:y:2017:i:3:p:111-129

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