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A Chaotic Time-Delay System with Saturation Nonlinearity

Author

Listed:
  • 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)

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.

Suggested Citation

  • Viet-Thanh Pham & Christos Volos & Sundarapandian Vaidyanathan, 2017. "A Chaotic Time-Delay System with Saturation Nonlinearity," International Journal of System Dynamics Applications (IJSDA), IGI Global, vol. 6(3), pages 111-129, July.
    • Handle: RePEc:igg:jsda00:v:6:y:2017:i:3:p:111-129
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