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Chaotic dynamics of the fractional order nonlinear system with time delay

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Abstract

This paper presents the fractional order model of a nonlinear autonomous continuous-time difference-differential equation with only one variable. Numerical simulation results of the fractional order model demonstrate the existence of chaos when system order \(q\ge 0.2\). Values of the delay time \(\tau \) in which chaotic behavior is observed at system order \(q\) are quantitatively defined using the largest Lyapunov exponents obtained from the output time series.

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Authors and Affiliations

  1. Department of Electrical Electronics Engineering, Faculty of Engineering, Firat University, 23119 , Elazig, Turkey

    Vedat Çelik & Yakup Demir

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  1. Vedat Çelik
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  2. Yakup Demir
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Correspondence to Vedat Çelik.

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Çelik, V., Demir, Y. Chaotic dynamics of the fractional order nonlinear system with time delay. SIViP 8, 65–70 (2014). https://doi.org/10.1007/s11760-013-0461-2

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  • DOI: https://doi.org/10.1007/s11760-013-0461-2

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