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Series solutions of coupled Van der Pol equation by means of homotopy analysis method
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10.1063/1.3445770
/content/aip/journal/jmp/51/6/10.1063/1.3445770
http://aip.metastore.ingenta.com/content/aip/journal/jmp/51/6/10.1063/1.3445770
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

The curve and by HAM-Padé approximation for the in-phase case. Filled circles: [10,10] HAM-Padé approximation; line: [15,15] HAM-Padé approximation.

Image of FIG. 2.
FIG. 2.

Comparison of the homotopy approximation and numerical result for . Filled circles: tenth-order homotopy approximation when ; line: numerical result.

Image of FIG. 3.
FIG. 3.

Comparison of HAM approximation time-history curves and numerical results of and when . solid line: tenth-order homotopy approximation of when ; dash Line: tenth-order homotopy approximation of when .

Image of FIG. 4.
FIG. 4.

The curve and by HAM-Padé approximation in the out-of-phase case when . Filled circles: [5,5] HAM-Padé approximation; line: [10,10] HAM-Padé approximation.

Image of FIG. 5.
FIG. 5.

The curve and by HAM-Padé approximation in the out-of-phase case when . Filled circles: [5,5] HAM-Padé approximation; line: [10,10] HAM-Padé approximation.

Image of FIG. 6.
FIG. 6.

The approximate curve and by HAM-Padé approximation in the out-of-phase case when . Filled circles: [4,4] HAM-Padé approximation; line: [5,5] HAM-Padé approximation.

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/content/aip/journal/jmp/51/6/10.1063/1.3445770
2010-06-28
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Series solutions of coupled Van der Pol equation by means of homotopy analysis method
http://aip.metastore.ingenta.com/content/aip/journal/jmp/51/6/10.1063/1.3445770
10.1063/1.3445770
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