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
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;
Conference_Titel :
Industrial Control and Electronics Engineering (ICICEE), 2012 International Conference on
Conference_Location :
Xi´an
Print_ISBN :
978-1-4673-1450-3
DOI :
10.1109/ICICEE.2012.426
