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Analysis of the Van der Pol oscillator containing derivatives of fractional order
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Orientador(es)
Resumo(s)
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.
Descrição
Palavras-chave
Fractional calculus Van der Pol oscillator Nonlinear oscillators Fractional order operators
Contexto Educativo
Citação
Editora
SAGE Publications