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Undamped oscillations in fractional-order Duffing oscillator
Rostami, M ; Sharif University of Technology
548
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- Type of Document: Article
- DOI: 10.1016/j.sigpro.2014.03.042
- Abstract:
- This paper studies unamped 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
- Keywords:
- Describing function method ; Duffing equation ; Fractional order differential equation ; Oscillation ; Parameter range
- Source: Signal Processing ; February , 2014 , Pages 361–367 ; ISSN: 01651684
- URL: http://www.sciencedirect.com/science/article/pii/S0165168414001479