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Volumn 131, Issue 2, 1996, Pages 267-276

Analytical non-integrability of the truncated two fixed centres problem in the symmetric case

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EID: 0030295076     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.0164     Document Type: Article
Times cited : (6)

References (16)
  • 2
    • 0000307548 scopus 로고
    • Geometrical aspects of Ziglin's non-integrability theorem
    • [C-R] R. C. Churchill and D. L. Rod, Geometrical aspects of Ziglin's non-integrability theorem, J. Differential Equations 76 (1988), 91-114.
    • (1988) J. Differential Equations , vol.76 , pp. 91-114
    • Churchill, R.C.1    Rod, D.L.2
  • 3
    • 0000277174 scopus 로고
    • Non-integrable Hamiltonian systems and the Heun equations
    • [F-I] J. P. Françoise and M. Irigoyen, Non-integrable Hamiltonian systems and the Heun equations, J. Geom. Phys. 10 (1993), 231-243.
    • (1993) J. Geom. Phys. , vol.10 , pp. 231-243
    • Françoise, J.P.1    Irigoyen, M.2
  • 6
    • 84972495869 scopus 로고
    • Non-integrability of Hénon-Heiles system and a theorem of Ziglin
    • [It] H. Ito, Non-integrability of Hénon-Heiles system and a theorem of Ziglin, Kodai Math. J. 8 (1985), 120-138.
    • (1985) Kodai Math. J. , vol.8 , pp. 120-138
    • Ito, H.1
  • 10
    • 0011402916 scopus 로고
    • Theory of an accurate intermediary orbit for satellite astronomy
    • [V] J. P. Vinti, Theory of an accurate intermediary orbit for satellite astronomy, J. Res. Nat. Bur. Standards B 63 (3) (1959).
    • (1959) J. Res. Nat. Bur. Standards B , vol.63 , Issue.3
    • Vinti, J.P.1
  • 12
    • 0001875730 scopus 로고
    • A criterion for the non-existence of an additional integral in Hamiltonian systems with a homogeneous potential
    • 1] H. Yoshida, A criterion for the non-existence of an additional integral in Hamiltonian systems with a homogeneous potential, Physica D 29 (1987), 128-142.
    • (1987) Physica D , vol.29 , pp. 128-142
    • Yoshida, H.1
  • 13
    • 0000392795 scopus 로고
    • Non-integrability of the truncated Toda lattice Hamiltonian at any order
    • 2] H. Yoshida, Non-integrability of the truncated Toda lattice Hamiltonian at any order, Comm. Math. Phys. 116 (1988), 529-538.
    • (1988) Comm. Math. Phys. , vol.116 , pp. 529-538
    • Yoshida, H.1
  • 14
    • 0011446960 scopus 로고
    • Non-integrability of the fourth-order truncated Toda Hamiltonian
    • [Y-R-G] H. Yoshida, A. Ramani, and B. Grammaticos, Non-integrability of the fourth-order truncated Toda Hamiltonian, Physica D 30 (1988), 151-163.
    • (1988) Physica D , vol.30 , pp. 151-163
    • Yoshida, H.1    Ramani, A.2    Grammaticos, B.3
  • 15
    • 0041020915 scopus 로고
    • Branching of solutions and non-existence of first integrals in Hamiltonian mechanics
    • [Z] S. L. Ziglin, Branching of solutions and non-existence of first integrals in Hamiltonian mechanics, Functional Anal. Appl. 16 (1983), 181-189; 17 (1983), 6-17.
    • (1983) Functional Anal. Appl. , vol.16 , pp. 181-189
    • Ziglin, S.L.1
  • 16
    • 14344258193 scopus 로고
    • [Z] S. L. Ziglin, Branching of solutions and non-existence of first integrals in Hamiltonian mechanics, Functional Anal. Appl. 16 (1983), 181-189; 17 (1983), 6-17.
    • (1983) Functional Anal. Appl. , vol.17 , pp. 6-17


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