Eur. Phys. J. Special Topics 226, 3803–3810 (2017)
https://doi.org/10.1140/epjst/e2018-00019-7

Regular Article

Time analysis of forced variable-order fractional Van der Pol oscillator

¹ Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran
² Department of Electrical Engineering, Institute of Engineering, Rua Dr. António Bernardino de Almeida, 431, Porto 4249-015, Portugal

^a e-mail: parsa@liau.ac.ir

Received: 25 May 2017
Received in final form: 24 August 2017
Published online: 25 July 2018

Abstract

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.