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Study of limit cycles and stability analysis of fractional arneodo oscillator

Rostami, M ; Sharif University of Technology | 2013

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  1. Type of Document: Article
  2. DOI: 10.1007/s10957-012-0190-7
  3. Publisher: 2013
  4. Abstract:
  5. 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
  6. Keywords:
  7. Arneodo oscillator ; Describing function ; Fractional systems ; Limit cycle ; Loeb criterion
  8. Source: Journal of Optimization Theory and Applications ; Volume 156, Issue 1 , 2013 , Pages 68-78 ; 00223239 (ISSN)
  9. URL: http://link.springer.com/article/10.1007%2Fs10957-012-0190-7