Analysis of the Van der Pol oscillator containing derivatives of fractional order
Data(s) |
25/06/2014
25/06/2014
2007
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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 |
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 |