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Study of Limit Cycles and Stability Analysis of Fractional Arneodo Oscillator

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Abstract

This paper deals with the existence and the characteristics of the limit cycles in the fractional-order Arneodo system. The analysis is done using the describing function method. Our focus is on a special case where two limit cycles exist. The parametric range for the case of interest is derived, and the frequency and the amplitude of the oscillation are predicted. Numerical simulation results are presented to further demonstrate the reliability of the analysis.

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, Canada

    Mohammad Rostami

  2. Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran

    Mohammad Haeri

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  1. Mohammad Rostami
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  2. Mohammad Haeri
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Correspondence to Mohammad Rostami.

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Rostami, M., Haeri, M. Study of Limit Cycles and Stability Analysis of Fractional Arneodo Oscillator. J Optim Theory Appl 156, 68–78 (2013). https://doi.org/10.1007/s10957-012-0190-7

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  • DOI: https://doi.org/10.1007/s10957-012-0190-7

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