The Residue Harmonic Balance Method for Duffing-Van Der Pol Oscillator with Fractional Derivative

Xin Xue; Lian Zhong Li; Dan Sun

doi:10.4028/www.scientific.net/AMR.774-776.103

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 774-776The Residue Harmonic Balance Method for...

The Residue Harmonic Balance Method for Duffing-Van Der Pol Oscillator with Fractional Derivative

Abstract:

Duffing-van der Pol oscillator with fractional derivative was constructed in this paper. The solution procedure was proposed with the residue harmonic balance method. The effect of different fractional orders on resonance responses of the system in steady state were analyzed for an example without parameters. The approximate solutions were contrasted with numerical solutions. The results show that the residue harmonic balance method to Duffing-van der Pol differential equation with fractional derivative is very valid.

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Periodical:

Advanced Materials Research (Volumes 774-776)

Pages:

103-106

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.774-776.103

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Online since:

September 2013

Authors:

Xin Xue, Lian Zhong Li, Dan Sun

Keywords:

Duffing-van der Pol Oscillator, Fractional Derivative, Residue Harmonic Balance Method

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