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Classification of Lie point symmetries for quadratic Liénard type equation
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10.1063/1.4803455
/content/aip/journal/jmp/54/5/10.1063/1.4803455
http://aip.metastore.ingenta.com/content/aip/journal/jmp/54/5/10.1063/1.4803455
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Phase portrait of Eq. (43) for different values of corresponding to the Hamiltonian (48) .

Image of FIG. 2.
FIG. 2.

Phase portrait of Eq. (49) for different values of corresponding to the Hamiltonian (53)

Image of FIG. 3.
FIG. 3.

 (a) Solution plot of (69) and (b)  phase space structure corresponding to the Hamiltonian (73) for three different choices of the integration constants for λ > 0.

Image of FIG. 4.
FIG. 4.

 (a) Solution plot of (80) and (b)  phase space structure corresponding to the Hamiltonian (84) for suitable choices of constants.

Image of FIG. 5.
FIG. 5.

Phase portrait of Eq. (88) for different values of corresponding to the Hamiltonian (90) , (a) λ > 0 and (b) λ < 0 with the restriction .

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/content/aip/journal/jmp/54/5/10.1063/1.4803455
2013-05-07
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Classification of Lie point symmetries for quadratic Liénard type equation ẍ+f(x)ẋ2+g(x)=0
http://aip.metastore.ingenta.com/content/aip/journal/jmp/54/5/10.1063/1.4803455
10.1063/1.4803455
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