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Volumn 18, Issue 6, 1998, Pages 1349-1362

Quasi-periodicity of motions and complete integrability of Hamiltonian systems

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Indexed keywords


EID: 0032334654     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385798118035     Document Type: Article
Times cited : (16)

References (16)
  • 2
    • 0002023955 scopus 로고
    • Generalized Liouville method of integration of Hamiltonian systems
    • A. S. Mischenko and A. T. Fomenko. Generalized Liouville method of integration of Hamiltonian systems. Funct. Anal. Appl. 12 (1978), 113-121.
    • (1978) Funct. Anal. Appl. , vol.12 , pp. 113-121
    • Mischenko, A.S.1    Fomenko, A.T.2
  • 3
    • 0000234399 scopus 로고
    • Action-angle variables and their generalizations
    • N. N. Nekhoroshev. Action-angle variables and their generalizations. Trans. Moskow Math. Soc. 26 (1972), 180-198.
    • (1972) Trans. Moskow Math. Soc. , vol.26 , pp. 180-198
    • Nekhoroshev, N.N.1
  • 4
    • 84972496402 scopus 로고
    • Le probleme general des variables actions-angles
    • P. Dazord and T. Delzant. Le probleme general des variables actions-angles. J. Diff. Geom. 26 (1987), 223-251.
    • (1987) J. Diff. Geom. , vol.26 , pp. 223-251
    • Dazord, P.1    Delzant, T.2
  • 6
    • 0000757375 scopus 로고
    • Über das verhalten analytischer Hamiltonscher differentialgleichungen in der nähe einer Gleichgewichtslösung
    • H. Rüssmann. Über das Verhalten analytischer Hamiltonscher differentialgleichungen in der nähe einer Gleichgewichtslösung. Math. Ann. 154 (1964), 285-300.
    • (1964) Math. Ann. , vol.154 , pp. 285-300
    • Rüssmann, H.1
  • 7
    • 51249174723 scopus 로고
    • Convergence of Birkhoff normal forms for integrable systems
    • H. Ito. Convergence of Birkhoff normal forms for integrable systems. Comment Math. Helv. 64 (1989), 412-461.
    • (1989) Comment Math. Helv. , vol.64 , pp. 412-461
    • Ito, H.1
  • 10
    • 85033896899 scopus 로고
    • Private Communication. held in Ravello (Italy) in September
    • G. Gallavotti. Private Communication. This result was also announced in a course at the Scuola Estiva di Fisica Matematica held in Ravello (Italy) in September 1991.
    • (1991) Scuola Estiva di Fisica Matematica
    • Gallavotti, G.1
  • 14
    • 51249174847 scopus 로고
    • Inégalités a priori pour des tores Lagrangiens invariants par des difféomorphismes symplectiques
    • M. R. Herman. Inégalités a priori pour des tores Lagrangiens invariants par des difféomorphismes symplectiques. Inst. Hautes Etudes Sci. Publ. Math. 70 (1989), 47-101.
    • (1989) Inst. Hautes Etudes Sci. Publ. Math. , vol.70 , pp. 47-101
    • Herman, M.R.1
  • 15
    • 84980167278 scopus 로고
    • On global action-angle coordinates
    • J. J. Duistermaat On global action-angle coordinates. Commun. Pure Appl. Math. 33 (1980), 687-706.
    • (1980) Commun. Pure Appl. Math. , vol.33 , pp. 687-706
    • Duistermaat, J.J.1
  • 16
    • 0030503795 scopus 로고    scopus 로고
    • The Euler-Poinsot top: A non-commutatively integrate systems without global action-angle coordinates
    • F. Fassò. The Euler-Poinsot top: a non-commutatively integrate systems without global action-angle coordinates. J. App. Math. Phys. (ZAMP). 47 (1996), 1-24.
    • (1996) J. App. Math. Phys. (ZAMP) , vol.47 , pp. 1-24
    • Fassò, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.