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Volumn 61, Issue 1, 1997, Pages 27-32

Kovalevskaya's method in rigid body dynamics

(2)  Borisov, A V a   Tsygvintsev, A V a  

a NONE

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EID: 0031284082     PISSN: 00218928     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8928(97)00004-X     Document Type: Article
Times cited : (7)

References (17)
  • 3
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    • Necessary condition for the existence of algebraic first integrals. I, II
    • 3. Yoshida, H., Necessary condition for the existence of algebraic first integrals. I, II. Celest. Mech., 1983, 31(4), 369-399.
    • (1983) Celest. Mech. , vol.31 , Issue.4 , pp. 369-399
    • Yoshida, H.1
  • 4
    • 0001288935 scopus 로고
    • Non-existence of single-valued integrals and branching of solutions in rigid body dynamics
    • 4. Kozlov, V. V., Non-existence of single-valued integrals and branching of solutions in rigid body dynamics. Prikl. Mat. Mekh., 1978, 42(3), 400-406.
    • (1978) Prikl. Mat. Mekh. , vol.42 , Issue.3 , pp. 400-406
    • Kozlov, V.V.1
  • 5
    • 0041020915 scopus 로고
    • Branching of solutions and non-existence of first integrals in hamiltonian mechanics, I
    • 5. Ziglin, S. L., Branching of solutions and non-existence of first integrals in Hamiltonian mechanics, I. Funkts. Anal. i. Yego Prilozh., 1982, 16(3), 30-41.
    • (1982) Funkts. Anal. I. Yego Prilozh. , vol.16 , Issue.3 , pp. 30-41
    • Ziglin, S.L.1
  • 6
    • 14344258193 scopus 로고
    • Branching of solutions and non-existence of first integrals in hamiltonian mechanics, II
    • 6. Ziglin, S. L., Branching of solutions and non-existence of first integrals in Hamiltonian mechanics, II. Funkts. Anal. i Yego Prilozh., 1983, 17(1), 8-23.
    • (1983) Funkts. Anal. I Yego Prilozh. , vol.17 , Issue.1 , pp. 8-23
    • Ziglin, S.L.1
  • 7
    • 0002828697 scopus 로고
    • Tensor invariants of quasi-homogeneous systems of differential equations and the asymptotic Kovalevskaya-Lyapunov method
    • 7. Kozlov, V. V., Tensor invariants of quasi-homogeneous systems of differential equations and the asymptotic Kovalevskaya-Lyapunov method. Mat. Zametki, 1992, 51(2), 46-52.
    • (1992) Mat. Zametki , vol.51 , Issue.2 , pp. 46-52
    • Kozlov, V.V.1
  • 8
    • 0001736305 scopus 로고
    • On the conditions for integrability of Euler's equations on SO(4)
    • 8. Veselov, A. P., On the conditions for integrability of Euler's equations on SO(4). Dokl. Akad. Nauk SSSR, 1983, 270(6), 1298-1300.
    • (1983) Dokl. Akad. Nauk SSSR , vol.270 , Issue.6 , pp. 1298-1300
    • Veselov, A.P.1
  • 14
    • 0001183233 scopus 로고
    • The algebraic integrability of geodesic flow on SO(4)
    • 14. Adler, M. and Van Moerbeke, P., The algebraic integrability of geodesic flow on SO(4). Invent. Math., 1982, 67(2), 297-331.
    • (1982) Invent. Math. , vol.67 , Issue.2 , pp. 297-331
    • Adler, M.1    Van Moerbeke, P.2
  • 16
    • 0010789997 scopus 로고
    • On the rolling of a sphere on a horizontal plane
    • 16. Chaplygin, S. A., On the rolling of a sphere on a horizontal plane. Mat. Sbornik, 1985, 24(1), 139-168.
    • (1985) Mat. Sbornik , vol.24 , Issue.1 , pp. 139-168
    • Chaplygin, S.A.1
  • 17
    • 0002824248 scopus 로고
    • On the theory of integration of the equations of non-holonomic mechanics
    • 17. Kozlov, V. V., On the theory of integration of the equations of non-holonomic mechanics. Uspekhi Mekh., 1985, 8(3), 85-107.
    • (1985) Uspekhi Mekh. , vol.8 , Issue.3 , pp. 85-107
    • Kozlov, V.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.