Time analysis of forced variable-order fractional Van der Pol oscillator
Department of Mathematics, Lahijan Branch, Islamic Azad University,
2 Department of Electrical Engineering, Institute of Engineering, Rua Dr. António Bernardino de Almeida, 431, Porto 4249-015, Portugal
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Received in final form: 24 August 2017
Published online: 25 July 2018
This paper presents a new discretization technique for the forced Van der Pol oscillator with variable order derivatives. The study introduces the variable-order fractional time derivatives into the state-space model and investigates their influence upon the system dynamics. The resulting model of the variable-order fractional Van der Pol oscillator is solved and analyzed in the time domain.
© EDP Sciences, Springer-Verlag 2018