Complex order van der Pol oscillator

Pinto, Carla M.A.; Machado, J.A.Tenreiro

http://hdl.handle.net/10400.22/4141

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Authors

Pinto, Carla M.A.

Machado, J.A.Tenreiro

Abstract(s)

In 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.