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Volumn 11, Issue 5-6, 2004, Pages 715-722

A new integrable system on the sphere

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EID: 12344261606     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/mrl.2004.v11.n6.a1     Document Type: Article
Times cited : (31)

References (22)
  • 4
    • 0013251893 scopus 로고    scopus 로고
    • Two-dimensional Riemannian metrics with an integrable geodesic flow. Local and global geometries
    • A. V. Bolsinov, V. S. Matveev, A. T. Fomenko, Two-dimensional Riemannian metrics with an integrable geodesic flow. Local and global geometries, Sb. Math. 189 (1998), 1441-1466.
    • (1998) Sb. Math. , vol.189 , pp. 1441-1466
    • Bolsinov, A.V.1    Matveev, V.S.2    Fomenko, A.T.3
  • 5
  • 6
    • 12344277228 scopus 로고
    • First integrals that are polynomial in the momenta for a mechanical system on the two-dimensional torus
    • M. L. Byalyǐ, First integrals that are polynomial in the momenta for a mechanical system on the two-dimensional torus, Functional Anal. Appl. 21 (1987), 310 - 312.
    • (1987) Functional Anal. Appl. , vol.21 , pp. 310-312
    • Byalyǐ, M.L.1
  • 8
    • 0034342859 scopus 로고    scopus 로고
    • Polynomial integrals of reversible mechanical systems with a two-dimensional torus as configuration space
    • N. V. Denisova, V. V. Kozlov, Polynomial integrals of reversible mechanical systems with a two-dimensional torus as configuration space, Sb. Math. 191 (2000), 43-63.
    • (2000) Sb. Math. , vol.191 , pp. 43-63
    • Denisova, N.V.1    Kozlov, V.V.2
  • 11
    • 0039326973 scopus 로고
    • 2 all of whose geodesics are closed
    • 2 all of whose geodesics are closed, Invent. Math. 65 (1981), 175-177.
    • (1981) Invent. Math. , vol.65 , pp. 175-177
    • Gromoll, D.1    Grove, K.2
  • 12
    • 0040215985 scopus 로고
    • Direct methods for the search of the second invariant
    • J. Hijetarinta, Direct methods for the search of the second invariant, Phys. Rep. 147(1987) no. 2, 87-154.
    • (1987) Phys. Rep. , vol.147 , Issue.2 , pp. 87-154
    • Hijetarinta, J.1
  • 13
    • 0034342202 scopus 로고    scopus 로고
    • A unified treatment of cubic invariants at fixed and arbitrary energy
    • M. Karlovini, K. Rosquist, A unified treatment of cubic invariants at fixed and arbitrary energy, J. Math. Phys. 41(2000), no. 1, 370-384.
    • (2000) J. Math. Phys. , vol.41 , Issue.1 , pp. 370-384
    • Karlovini, M.1    Rosquist, K.2
  • 14
    • 0035981747 scopus 로고    scopus 로고
    • A unified treatment of quartic invariants at fixed and arbitrary energy
    • M. Karlovini, G. Pucacco, K. Rosquist, L. Samuelsson, A unified treatment of quartic invariants at fixed and arbitrary energy, J. Math. Phys. 43(2002), no. 8, 4041-4059.
    • (2002) J. Math. Phys. , vol.43 , Issue.8 , pp. 4041-4059
    • Karlovini, M.1    Pucacco, G.2    Rosquist, K.3    Samuelsson, L.4
  • 15
    • 84972580594 scopus 로고
    • Compact liouville surfaces
    • K. Kiyohara, Compact Liouville surfaces, J. Math. Soc. Japan 43(1991), 555-591.
    • (1991) J. Math. Soc. Japan , vol.43 , pp. 555-591
    • Kiyohara, K.1
  • 16
    • 0035597679 scopus 로고    scopus 로고
    • Two-dimensional geodesic flows having first integrals of higher degree
    • K. Kiyohara, Two-dimensional geodesic flows having first integrals of higher degree, Math. Ann. 320(2001) no 3, 487-505.
    • (2001) Math. Ann. , vol.320 , Issue.3 , pp. 487-505
    • Kiyohara, K.1
  • 18
    • 0001642835 scopus 로고
    • Geodesic flows on two-dimensional manifolds with an additional first integral that is polynomial with respect to velocities
    • V. N. Kolokol'tzov, Geodesic flows on two-dimensional manifolds with an additional first integral that is polynomial with respect to velocities, Math. USSR-Izv. 21(1983), no. 2, 291-306.
    • (1983) Math. USSR-Izv. , vol.21 , Issue.2 , pp. 291-306
    • Kolokol'tzov, V.N.1
  • 19
    • 21344467890 scopus 로고
    • Rotation function for integrable problems that reduce to Abel equations. Orbital and classification of Goryachev-Chaplygin system
    • O. E. Orel, Rotation function for integrable problems that reduce to Abel equations. Orbital and classification of Goryachev-Chaplygin system, Sb. Math. 186(1995) no. 2, 271-296.
    • (1995) Sb. Math. , vol.186 , Issue.2 , pp. 271-296
    • Orel, O.E.1
  • 20
    • 0033474973 scopus 로고    scopus 로고
    • New examples of integrable conservative systems on 52 and the case of Goryachev-Chaplygin
    • E. N. Selivanova, New examples of Integrable Conservative Systems on 52 and the Case of Goryachev-Chaplygin, Comm. Math. Phys. 207(1999) 641-663.
    • (1999) Comm. Math. Phys. , vol.207 , pp. 641-663
    • Selivanova, E.N.1
  • 22
    • 0037044942 scopus 로고    scopus 로고
    • On certain two-dimensional conservative mechanical systems with a cubic second integral
    • H. M. Yehia, On certain two-dimensional conservative mechanical systems with a cubic second integral, J. Phys. A 35 (2002) 9469-9487
    • (2002) J. Phys. A , vol.35 , pp. 9469-9487
    • Yehia, H.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.