메뉴 건너뛰기




Volumn 44, Issue 2-3, 2002, Pages 156-170

Geometric structure of "broadly integrable" Hamiltonian systems

Author keywords

Broad integrability; Dual pairs; Hamiltonian systems; Non poisson actions

Indexed keywords


EID: 0036888081     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0393-0440(02)00059-1     Document Type: Article
Times cited : (9)

References (23)
  • 1
    • 0347904275 scopus 로고
    • Monodromy in the champagne bottle
    • L.M. Bates, Monodromy in the champagne bottle, J. Appl. Math. Phys. (ZAMP) 42 (1991) 837-847.
    • (1991) J. Appl. Math. Phys. (ZAMP) , vol.42 , pp. 837-847
    • Bates, L.M.1
  • 2
    • 0032135114 scopus 로고    scopus 로고
    • Actions symplectiques de groupes compacts
    • Y. Benoist, Actions symplectiques de groupes compacts, C.R. Acad. Sci. Paris Ser. I Math. 327 (1998) 373-376.
    • (1998) C.R. Acad. Sci. Paris Ser. I Math , vol.327 , pp. 373-376
    • Benoist, Y.1
  • 4
    • 0031497464 scopus 로고    scopus 로고
    • Theory of tensor invariants of integrable Hamiltonian systems. II. Theorem on symmetries and its applications
    • O.I. Bogoyavlenskij, Theory of tensor invariants of integrable Hamiltonian systems. II. Theorem on symmetries and its applications, Commun. Math. Phys. 184 (1997) 301-365.
    • (1997) Commun. Math. Phys , vol.184 , pp. 301-365
    • Bogoyavlenskij, O.I.1
  • 5
    • 0032475009 scopus 로고    scopus 로고
    • Extended integrability and bi-Hamiltonian systems
    • O.I. Bogoyavlenskij, Extended integrability and bi-Hamiltonian systems, Commun. Math. Phys. 196 (1998) 19-51.
    • (1998) Commun. Math. Phys , vol.196 , pp. 19-51
    • Bogoyavlenskij, O.I.1
  • 7
    • 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
  • 8
    • 84972496402 scopus 로고
    • Le probleme general des variables actions-angles
    • P. Dazord, 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
  • 9
    • 0001809196 scopus 로고
    • Hamiltonian perturbation theory on a manifold
    • F. Fassò, Hamiltonian perturbation theory on a manifold, Cel. Mech. Dyn. Astr. 62 (1995) 43-69.
    • (1995) Cel. Mech. Dyn. Astr , vol.62 , pp. 43-69
    • Fassò, F.1
  • 10
    • 0030503795 scopus 로고    scopus 로고
    • The Euler-Poinsot top: A non-commutatively integrable system without global action-angle coordinates
    • F. Fassò, The Euler-Poinsot top: a non-commutatively integrable system without global action-angle coordinates, J. Appl. Math. Phys. (ZAMP) 47 (1996) 953-976.
    • (1996) J. Appl. Math. Phys. (ZAMP) , vol.47 , pp. 953-976
    • Fassò, F.1
  • 11
    • 0032334654 scopus 로고    scopus 로고
    • Quasi-periodicity of motions and complete integrability of Hamiltonian systems
    • F. Fassò, Quasi-periodicity of motions and complete integrability of Hamiltonian systems, Ergodic Theory Dyn. Syst. 18 (1998) 1349-1362.
    • (1998) Ergodic Theory Dyn. Syst , vol.18 , pp. 1349-1362
    • Fassò, F.1
  • 12
    • 0032164314 scopus 로고    scopus 로고
    • Compatibility of symplectic structures adapted to noncommutatively integrable systems
    • F. Fassò, T. Ratiu, Compatibility of symplectic structures adapted to noncommutatively integrable systems, J. Geom. Phys. 27 (1998) 199-220.
    • (1998) J. Geom. Phys , vol.27 , pp. 199-220
    • Fassò, F.1    Ratiu, T.2
  • 13
    • 0003382882 scopus 로고
    • Quasi-integrable mechanical systems
    • K. Osterwalder, R. Stora (Eds.), Random Systems, Gauge Theories, Les Houches, Session XLIII, 1984, North-Holland, Amsterdam
    • G. Gallavotti, Quasi-integrable mechanical systems, in: K. Osterwalder, R. Stora (Eds.), Critical Phenomena, Random Systems, Gauge Theories, Les Houches, Session XLIII, 1984, North-Holland, Amsterdam, 1986.
    • (1986) Critical Phenomena
    • Gallavotti, G.1
  • 14
    • 0034364438 scopus 로고    scopus 로고
    • Convexity and multivalued Hamiltonians
    • A. Giacobbe, Convexity and multivalued Hamiltonians, Russ. Math. Surveys 55 (2000) 578-580.
    • (2000) Russ. Math. Surveys , vol.55 , pp. 578-580
    • Giacobbe, A.1
  • 15
    • 4243887957 scopus 로고    scopus 로고
    • Convexity of multivalued momentum maps
    • Preprint
    • A. Giacobbe, Convexity of multivalued momentum maps, Preprint, 2000. http://front.math.ucdavis.edu/math.SG/0004061.
    • (2000)
    • Giacobbe, A.1
  • 17
    • 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
  • 18
    • 0002973402 scopus 로고
    • A generalized method for Liouville integration of Hamiltonian systems
    • A.T. Fomenko, A.S. Mishenko, A generalized method for Liouville integration of Hamiltonian systems, Funct. Anal. Appl. 12 (1978) 46-56.
    • (1978) Funct. Anal. Appl , vol.12 , pp. 46-56
    • Fomenko, A.T.1    Mishenko, A.S.2
  • 20
    • 0000846735 scopus 로고
    • Co-isotropic invariant tori of Hamiltonian systems in the quasiclassical theory of the motion of a conduction electron
    • I.O. Parasyuk, Co-isotropic invariant tori of Hamiltonian systems in the quasiclassical theory of the motion of a conduction electron, Ukrainian Math. J. 42 (1990) 308-312.
    • (1990) Ukrainian Math. J , vol.42 , pp. 308-312
    • Parasyuk, I.O.1
  • 21
    • 0011064946 scopus 로고
    • Variables of the action-angle type on symplectic manifolds stratified by coisotropic tori
    • I.O. Parasyuk, Variables of the action-angle type on symplectic manifolds stratified by coisotropic tori, Ukrainian Math. J. 45 (1993) 85-93.
    • (1993) Ukrainian Math. J , vol.45 , pp. 85-93
    • Parasyuk, I.O.1
  • 22
    • 84948632327 scopus 로고
    • Reduction and coisotropic invariant tori of Hamiltonian systems with non-Poisson commutative symmetries. II
    • I.O. Parasyuk, Reduction and coisotropic invariant tori of Hamiltonian systems with non-Poisson commutative symmetries. II, Ukrainian Math. J. 46 (1994) 991-1002.
    • (1994) Ukrainian Math. J , vol.46 , pp. 991-1002
    • Parasyuk, I.O.1
  • 23
    • 84972531238 scopus 로고
    • The local structure of Poisson manifolds
    • A. Weinstein, The local structure of Poisson manifolds, J. Diff. Geom. 18 (1983) 523-557.
    • (1983) J. Diff. Geom , vol.18 , pp. 523-557
    • Weinstein, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.