Dynamics of the Fractional-Order Van der Pol Oscillator

• Type: Article in International Conference Proceedings Book
• Date: 2004

Authors

Ramiro Barbosa (Author) FEUP; José A. Tenreiro Machado (Author) FEUP; Isabel Ferreira (Author) FEUP

Conference proceedings International

Title: Proceedings of the ICCC 2004 - IEEE International Conference on Computational Cybernetics

Pages: 373-378

IEEE International Conference on Computational Cybernetics

Vienna, Austria, 30 de Agosto a 1 de Setembro de 2004

Scientific classification

FOS: Engineering and technology > Other engineering and technologies

Other information

DOI: 10.1109/ICCCYB.2004.1437752

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6