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- W2011030101 abstract "Combining the extended Painleve conjecture with Yoshida's singularity and stability analyses (1986) it is shown that, for two-dimensional homogeneous potentials of degree 2m, integrability restricts Kowalevskaya exponents and integrability coefficients to discrete sets of values. This result is made use of in the analysis of integrability of symmetric potentials with m=2, 3 and 4. Direct construction of additional first integrals is successful only in special cases which can be transformed to known integrable ones." @default.
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- W2011030101 date "1988-05-21" @default.
- W2011030101 modified "2023-10-16" @default.
- W2011030101 title "Integrability of two-dimensional homogeneous potentials" @default.
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- W2011030101 doi "https://doi.org/10.1088/0305-4470/21/10/009" @default.
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