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Percorrer por autor "Vinagre, B. M."

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  • Analysis of the Van der Pol oscillator containing derivatives of fractional order
    Publication . Barbosa, Ramiro S.; Machado, J. A. Tenreiro; Vinagre, B. M.; Calderón, A. J.
    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.
    2007Artigo científico Acesso aberto Ver mais
  • Study of the Van der Pol Oscillator with Fractional Derivatives
    Publication . Barbosa, Ramiro; Tenreiro Machado, J. A.; Vinagre, B. M.; Calderón, A. J.
    In this paper we propose a modified version of the classical Van der Pol oscillator by 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, by using phase portraits, spectral analysis and bifurcation diagrams. The fractional-order dynamics is illustrated through numerical simulations of the proposed schemes by using approximations to fractional-order operators. Finally, the analysis is extended to the forced Van der Pol oscillator.
    2006-04Documento de conferência Acesso aberto Ver mais