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Solution branching and polynomial integrals in an invertible system on a torus

  • V. V. Kozlov
Article
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Keywords

Polynomial Integral Invertible System 
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Literature cited

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    V. V. Golubev, Lectures on Integration of Equations of Rotation of a Heavy Rigid Body around a Stationary Point [in Russian], Gostekhizdat, Moscow (1953).Google Scholar
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    M. Ablowitz and H. Siegur, Solitons and the Inverse Scattering Transform, SIAM Studies in Applies Mathematics, Soc. Ind. Appl. Math., Philadelphia (1981).Google Scholar
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    V. V. Kozlov, “Nonexistence of single-valued integrals and branching of solutions in rigid body dynamics,” Prikl. Mat. Mekh.,42, No. 3, 400–406 (1978).Google Scholar
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    S. L. Ziglin, “Self-crossing of complex separatrices and nonexistence of integrals in Hamiltonian systems with one-and-a-half degrees of freedom,” Prikl. Mat. Mekh.,45, No. 3, 564–566 (1981).Google Scholar
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    S. L. Ziglin, “Branching of solutions and nonexistence of first integrals in Hamiltonian mechanics,” Funkts. Anal. Prilozh.,16, No. 3, 3041 (1982);17, No. 1, 8–23 (1983).Google Scholar

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • V. V. Kozlov
    • 1
  1. 1.M. V. Lomonosov Moscow State UniversityUSSR

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