Pinto, Carla M.A.Machado, J.A.Tenreiro2014-03-062014-03-0620110924-090X1573-269Xhttp://hdl.handle.net/10400.22/4141In this paper a complex-order van der Pol oscillator is considered. The complex derivative Dα±ȷβ , with α,β∈R + is a generalization of the concept of integer derivative, where α=1, β=0. By applying the concept of complex derivative, we obtain a high-dimensional parameter space. Amplitude and period values of the periodic solutions of the two versions of the complex-order van der Pol oscillator are studied for variation of these parameters. Fourier transforms of the periodic solutions of the two oscillators are also analyzed.engVan der Pol oscillatorComplex order derivativeDynamical behaviorjournal article10.1007/s11071-010-9886-0