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Analysis of a fractional order Van der Pol-like oscillator via describing function method

Attari, M ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1007/s11071-009-9647-0
  3. Publisher: 2010
  4. Abstract:
  5. In this paper, the behavior of a fractional order Van der Pol-like oscillator is investigated using a describing function method. A parametric function for the boundary between oscillatory and nonoscillatory regions of this system is extracted. The analytical results are evaluated by numerical simulations which demonstrate sufficient reliability of the proposed analyzing method
  6. Keywords:
  7. Describing function method ; Fractional Van der Pol oscillator ; Oscillatory parametric region ; Analytical results ; Describing function methods ; Fractional order ; Harmonic balance ; Nonoscillatory ; Numerical simulation ; Parametric functions ; Van der Pol ; Van der Pol oscillator ; Circuit oscillations ; Computer simulation ; Harmonic functions ; Lyapunov methods ; Oscillators (mechanical) ; Describing functions
  8. Source: Nonlinear Dynamics ; Volume 61, Issue 1-2 , 2010 , Pages 265-274 ; 0924090X (ISSN)
  9. URL: http://link.springer.com/article/10.1007%2Fs11071-009-9647-0