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

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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.

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Authors and Affiliations

  1. Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran

    Behrouz Parsa Moghaddam

  2. Department of Electrical Engineering, Institute of Engineering, Rua Dr. António Bernardino de Almeida, 431, Porto, 4249-015, Portugal

    José António Tenreiro Machado

Authors
  1. Behrouz Parsa Moghaddam
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  2. José António Tenreiro Machado
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Correspondence to Behrouz Parsa Moghaddam.

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Moghaddam, B.P., Tenreiro Machado, J.A. Time analysis of forced variable-order fractional Van der Pol oscillator. Eur. Phys. J. Spec. Top. 226, 3803–3810 (2017). https://doi.org/10.1140/epjst/e2018-00019-7

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  • DOI: https://doi.org/10.1140/epjst/e2018-00019-7

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