DocumentCode
1617828
Title
Asymptotic Analytical Solutions of a Two Coupled Duffing-Van Der Pol Oscillators Using the Extended Homotopy Analysis Method
Author
Sheng-min, Chen ; Chun-mei, Duan
Author_Institution
Coll. of Math., Phys. & Inf. Eng., Zhejiang Normal Univ., Jinhua, China
fYear
2012
Firstpage
1614
Lastpage
1617
Abstract
We consider a two coupled Duffing-van der Pol oscillators with a nonlinear coupling in this paper. The extended homotopy analysis method (EHAM) is used to obtain the asymptotic analytical series solutions of the system. Meanwhile, we establish the comparisons between the results of the EHAM and standard Runge-Kutta numerical method and good agreement is obtained.
Keywords
Runge-Kutta methods; nonlinear differential equations; numerical analysis; relaxation oscillators; EHAM; asymptotic analytical series solutions; extended homotopy analysis method; nonlinear coupling; standard Runge-Kutta numerical method; two coupled Duffing-Van Der Pol oscillators; Industrial control; Extended homotopy analysis method; periodic solution; van der Pol oscillators;
fLanguage
English
Publisher
ieee
Conference_Titel
Industrial Control and Electronics Engineering (ICICEE), 2012 International Conference on
Conference_Location
Xi´an
Print_ISBN
978-1-4673-1450-3
Type
conf
DOI
10.1109/ICICEE.2012.426
Filename
6322716
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