Study of Limit Cycles and Stability Analysis of Fractional Arneodo Oscillator

Mohammad Rostami () and Mohammad Haeri ()
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Mohammad Rostami: University of Waterloo
Mohammad Haeri: Sharif University of Technology

Journal of Optimization Theory and Applications, 2013, vol. 156, issue 1, No 7, 68-78

Abstract: 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.

Keywords: Fractional systems; Arneodo oscillator; Limit cycle; Describing function; Loeb criterion (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10957-012-0190-7

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