On the integrability of the Hamiltonian systems with homogeneous polynomial potentials
2018 ◽
Vol 3
(2)
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pp. 527-536
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AbstractWe summarize the known results on the integrability of the complex Hamiltonian systems with two degrees of freedom defined by the Hamiltonian functions of the form$$\begin{array}{} \displaystyle H=\frac{1}{2}\sum_{i=1}^{2}p_i^2+V(q_1,q_2), \end{array} $$where V(q1,q2) are homogeneous polynomial potentials of degree k.
1995 ◽
Vol 186
(1)
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pp. 1-27
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1979 ◽
pp. 303-305
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1990 ◽
pp. 134-164
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1995 ◽
Vol 28
(19)
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pp. 5633-5642
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2002 ◽
Vol 12
(3)
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pp. 699-705
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1991 ◽
pp. 1-36
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1991 ◽
Vol 36
(3)
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pp. 567-596
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1999 ◽
Vol 40
(1)
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pp. 210-235
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