Barbosa, RamiroTenreiro Machado, J. A.Vinagre, B. M.Calderón, A. J.2019-03-292019-03-292006-04http://hdl.handle.net/10400.22/13246In this paper we propose a modified version of the classical Van der Pol oscillator by introducing fractional-order time derivatives into the state-space model. The resulting fractional-order Van der Pol oscillator is analyzed in the time and frequency domains, by using phase portraits, spectral analysis and bifurcation diagrams. The fractional-order dynamics is illustrated through numerical simulations of the proposed schemes by using approximations to fractional-order operators. Finally, the analysis is extended to the forced Van der Pol oscillator.engVan der Pol oscillatorFractional-orderFractional-order operatorsconference object