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Application of Extended Homotopy Analysis Method to the Two-Degree-of-Freedom Coupled van der Pol-Duffing Oscillator
Joint Authors
Qian, Y. H.
Chen, S. M.
Shen, L.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-30
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The extended homotopy analysis method (EHAM) is presented to establish the analytical approximate solutions for two-degree-of-freedom (2-DOF) coupled van der Pol-Duffing oscillator.
Meanwhile, the comparisons between the results of the EHAM and standard Runge-Kutta numerical method are also presented.
The results demonstrate that the analytical approximate solutions of the EHAM agree well with the numerical integration solutions.
For EHAM as an analytical approximation method, we are not sure whether it can apply to all of the nonlinear systems; we can only verify its effectiveness through specific cases.
As a result of the existence of nonlinear terms, we must study different types of systems, no matter from the complication of calculation and physical significance.
American Psychological Association (APA)
Qian, Y. H.& Chen, S. M.& Shen, L.. 2014. Application of Extended Homotopy Analysis Method to the Two-Degree-of-Freedom Coupled van der Pol-Duffing Oscillator. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014666
Modern Language Association (MLA)
Qian, Y. H.…[et al.]. Application of Extended Homotopy Analysis Method to the Two-Degree-of-Freedom Coupled van der Pol-Duffing Oscillator. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1014666
American Medical Association (AMA)
Qian, Y. H.& Chen, S. M.& Shen, L.. Application of Extended Homotopy Analysis Method to the Two-Degree-of-Freedom Coupled van der Pol-Duffing Oscillator. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014666
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014666