Kovalevskaya Top

수학노트
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메모

  • http://arxiv.org/pdf/nlin/0504002
  • Ryabov, P. E., and M. P. Kharlamov. “Classification of Singularities in the Problem of Motion of the Kovalevskaya Top in a Double Force Field.” Sbornik: Mathematics 203, no. 2 (February 28, 2012): 257–87. doi:10.1070/SM2012v203n02ABEH004222.



수학용어번역



사전 형태의 자료



리뷰논문

  • S. Kovalevsky: A Mathematical Lesson Karen D. Rappaport, American Mathematical Monthly, October 1981, Volume 88, Number 8, pp. 564–574. http://www.maa.org/pubs/Calc_articles/ma072.pdf
  • Bobenko, A. I., A. G. Reyman, and M. A. Semenov-Tian-Shansky. 1989. “The Kowalewski top 99 years later: A Lax pair, generalizations and explicit solutions.” Communications in Mathematical Physics 122 (2) (June): 321-354. doi:10.1007/BF01257419.



관련논문

  • H R Dullin, P H Richter, A P Veselov, "Action variables of the Kovalevskaya top", REGUL CHAOTIC DYN, 1998, 3 (3), 18–31. doi:10.1070/RD1998v003n03ABEH000077 Adler, Mark, and Pierre Moerbeke. 1988. “The Kowalewski and Henon-Heiles motions as Manakov geodesic flows onSO(4) ? a two-dimensional family of Lax pairs.” Communications in Mathematical Physics 113 (4) (December): 659-700. doi:10.1007/BF01223242.
  • L. Haine, E. Horozov, "A Lax pair for Kowalevski's top" Physica D , 29 (1987) pp. 173–180 doi:10.1016/0167-2789(87)90053-4