Study of the Van der Pol Oscillator with Fractional Derivatives
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 ana...
| Main Author: | |
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| Other Authors: | , , |
| Format: | conferenceObject |
| Language: | eng |
| Published: |
2019
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10400.22/13246 |
| Country: | Portugal |
| Oai: | oai:recipp.ipp.pt:10400.22/13246 |
| Summary: | 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. |
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