Analysis of the Van der Pol oscillator containing derivatives of fractional order


Autoria(s): Barbosa, Ramiro S.; Machado, J. A. Tenreiro; Vinagre, B. M.; Calderón, A. J.
Data(s)

25/06/2014

25/06/2014

2007

Resumo

In this paper a modified version of the classical Van der Pol oscillator is proposed, introducing fractional-order time derivatives into the state-space model. The resulting fractional-order Van der Pol oscillator is analyzed in the time and frequency domains, using phase portraits, spectral analysis and bifurcation diagrams. The fractional-order dynamics is illustrated through numerical simulations of the proposed schemes using approximations to fractional-order operators. Finally, the analysis is extended to the forced Van der Pol oscillator.

Identificador

DOI 10.1177/1077546307077463

1077-5463

1741-2986

http://hdl.handle.net/10400.22/4576

Idioma(s)

eng

Publicador

SAGE Publications

Relação

Journal of Vibration and Control; Vol. 13, Issues 9-10

http://jvc.sagepub.com/content/13/9-10/1291.abstract

Direitos

closedAccess

Palavras-Chave #Fractional calculus #Van der Pol oscillator #Nonlinear oscillators #Fractional order operators
Tipo

article