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Undamped oscillations in fractional-order Duffing oscillator

Rostami, M ; Sharif University of Technology | 2015

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  1. Type of Document: Article
  2. DOI: 10.1016/j.sigpro.2014.03.042
  3. Publisher: Elsevier , 2015
  4. Abstract:
  5. This paper studies undamped oscillations of fractional-order Duffing system. Stability theorems for fractional order systems are used to determine the characteristic polynomial of the system in order to find the parametric ranges for undamped oscillations in this system. We also derive relations for estimating the frequency and the amplitude of the oscillations in this system using a describing function method. Finally numerical simulation results are provided to justify the analysis
  6. Keywords:
  7. Signal processing ; Describing function methods ; Duffing equations ; Fractional-order differential equations ; Oscillation ; Parameter range ; Differential equations
  8. Source: Signal Processing ; Volume 107 , February , 2015 , Pages 361-367 ; 01651684 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0165168414001479