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

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Abstract

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.

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Authors and Affiliations

  1. Advanced Control System Lab, Electrical Engineering Department, Sharif University of Technology, Tehran, Iran

    Mina Attari, Mohammad Haeri & Mohammad Saleh Tavazoei

Authors
  1. Mina Attari
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  2. Mohammad Haeri
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  3. Mohammad Saleh Tavazoei
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Correspondence to Mohammad Haeri.

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Attari, M., Haeri, M. & Tavazoei, M.S. Analysis of a fractional order Van der Pol-like oscillator via describing function method. Nonlinear Dyn 61, 265–274 (2010). https://doi.org/10.1007/s11071-009-9647-0

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  • DOI: https://doi.org/10.1007/s11071-009-9647-0

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