Complex order van der Pol oscillator

Pinto, Carla; Tenreiro Machado, J. A.

http://hdl.handle.net/10400.22/13604

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Authors

Pinto, Carla

Tenreiro Machado, J. A.

Abstract(s)

In this paper it is considered a complex order van der Pol oscillator. A complex derivative D®§|¯, with ®; ¯ 2 R+ is a generalization of the concept of integer derivative, where ® = 1; ¯ = 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 complex order van der Pol oscillator, are studied for variation of these parameters.