Dynamics of the fractional-order Van der Pol oscillator

Ramiro S. Barbosa, J. A.T. Machado, Isabel M. Ferreira, József K. Tar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

17 Citations (Scopus)

Abstract

In this paper we propose a modified version of the classical unforced Van der Pol oscillator that occurs when introducing a fractional-order time derivative in the state space equations that describes its dynamics. The resulting fractional-order Van der Pol oscillator is analyzed in the time and frequency domains, for several values of order's fractional derivative and, consequently, of the total system order. It is shown that the system can exhibit different output behavior depending on the total system order. Several numerical simulations and performance indices illustrate the fractional dynamics.

Original languageEnglish
Title of host publicationICCC 2004 - Second IEEE International Conference on Computational Cybernetics, Proceedings
EditorsW. Elmenreich, W. Haidinger, J.A.T. Machado
Pages373-378
Number of pages6
Publication statusPublished - Dec 1 2004
EventICCC 2004 - Second IEEE International Conference on Computational Cybernetics - Vienna, Austria
Duration: Aug 30 2004Sep 1 2004

Publication series

NameICCC 2004 - Second IEEE International Conference on Computational Cybernetics, Proceedings

Other

OtherICCC 2004 - Second IEEE International Conference on Computational Cybernetics
CountryAustria
CityVienna
Period8/30/049/1/04

ASJC Scopus subject areas

  • Engineering(all)

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  • Cite this

    Barbosa, R. S., Machado, J. A. T., Ferreira, I. M., & Tar, J. K. (2004). Dynamics of the fractional-order Van der Pol oscillator. In W. Elmenreich, W. Haidinger, & J. A. T. Machado (Eds.), ICCC 2004 - Second IEEE International Conference on Computational Cybernetics, Proceedings (pp. 373-378). (ICCC 2004 - Second IEEE International Conference on Computational Cybernetics, Proceedings).