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

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 analysi...

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Bibliographic Details
Main Author: Barbosa, Ramiro S. (author)
Other Authors: Machado, J. A. Tenreiro (author), Vinagre, B. M. (author), Calderón, A. J. (author)
Format: article
Language:eng
Published: 2014
Subjects:
Fractional calculus
Van der Pol oscillator
Nonlinear oscillators
Fractional order operators
Online Access:http://hdl.handle.net/10400.22/4576
Country:Portugal
Oai:oai:recipp.ipp.pt:10400.22/4576

Internet

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

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