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A Chaotic Time-Delay System with Saturation Nonlinearity

A Chaotic Time-Delay System with Saturation Nonlinearity

Viet-Thanh Pham, Christos Volos, Sundarapandian Vaidyanathan
Copyright: © 2017 |Volume: 6 |Issue: 3 |Pages: 19
ISSN: 2160-9772|EISSN: 2160-9799|EISBN13: 9781522515319|DOI: 10.4018/IJSDA.2017070106
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MLA

Pham, Viet-Thanh, et al. "A Chaotic Time-Delay System with Saturation Nonlinearity." IJSDA vol.6, no.3 2017: pp.111-129. http://doi.org/10.4018/IJSDA.2017070106

APA

Pham, V., Volos, C., & Vaidyanathan, S. (2017). A Chaotic Time-Delay System with Saturation Nonlinearity. International Journal of System Dynamics Applications (IJSDA), 6(3), 111-129. http://doi.org/10.4018/IJSDA.2017070106

Chicago

Pham, Viet-Thanh, Christos Volos, and Sundarapandian Vaidyanathan. "A Chaotic Time-Delay System with Saturation Nonlinearity," International Journal of System Dynamics Applications (IJSDA) 6, no.3: 111-129. http://doi.org/10.4018/IJSDA.2017070106

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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.

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