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

作者：Attari Mina; Haeri Mohammad^*; Tavazoei Mohammad Saleh

来源：Nonlinear Dynamics, 2010, 61(1-2): 265-274.

DOI：10.1007/s11071-009-9647-0

• Fractional Van der Pol oscillator
• Describing function method
• Oscillatory parametric region
• Harmonic balance

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.

• 出版日期2010-7