메뉴 건너뛰기
Topology
Volumn 42, Issue 2, 2003, Pages 365-380
On semi-global invariants for focus-focus singularities
Author keywords

Completely integrable systems; Lagrangian fibration; Morse singularity; Normal forms; Symplectic geometry
Indexed keywords

EID: 0037332741     PISSN: 00409383     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0040-9383(01)00026-X     Document Type: Article
Times cited : (100)
References (12)
  • 1
    • 0011509783 scopus 로고
    • Orbital equivalence of integrable hamiltonian systems with two degrees of freedom, a classification theorem I
    • (translated from the Russian)
    • A.V. Bolsinov, A.T. Fomenko, Orbital equivalence of integrable hamiltonian systems with two degrees of freedom, a classification theorem I. Russian Acad. Sci. Sb. Math. 81(2) (1995) 421-465 (translated from the Russian).
    • (1995) Russian Acad. Sci. Sb. Math , vol.81 , Issue.2 , pp. 421-465
    • Bolsinov, A.V.1    Fomenko, A.T.2
  • 2
    • 0011468062 scopus 로고    scopus 로고
    • personal communication
    • R. Castano-Bernard, 2000. personal communication.
    • (2000)
    • Castano-Bernard, R.1
  • 3
    • 0011419645 scopus 로고
    • Classification des systèmes intégrables en dimension 2 et invariants des modèles de Fomenko
    • J.-P. Dufour, P. Molino, A. Toulet, Classification des systèmes intégrables en dimension 2 et invariants des modèles de Fomenko, C. R. Acad. Sci. Paris Sér. I Math. 318 (1994) 949-952.
    • (1994) C. R. Acad. Sci. Paris Sér. I Math , vol.318 , pp. 949-952
    • Dufour, J.-P.1    Molino, P.2    Toulet, A.3
  • 4
    • 84980167278 scopus 로고
    • On global action-angle variables
    • J.J. Duistermaat, On global action-angle variables, Comm. Pure Appl. Math. 33 (1980) 687-706.
    • (1980) Comm. Pure Appl. Math , vol.33 , pp. 687-706
    • Duistermaat, J.J.1
  • 5
    • 0003732064 scopus 로고
    • Hamiltonian systems with Poisson commuting integrals
    • Ph.D. Thesis, University of Stockholm
    • L.H. Eliasson, Hamiltonian systems with Poisson commuting integrals, Ph.D. Thesis, University of Stockholm, 1984.
    • (1984)
    • Eliasson, L.H.1
  • 6
    • 51249174640 scopus 로고
    • Normal forms for hamiltonian systems with Poisson commuting integrals-elliptic case
    • L.H. Eliasson, Normal forms for hamiltonian systems with Poisson commuting integrals-elliptic case, Comment. Math. Helv. 65 (1990) 4-35.
    • (1990) Comment. Math. Helv , vol.65 , pp. 4-35
    • Eliasson, L.H.1
  • 7
    • 4243822798 scopus 로고
    • Systèmes intégrables non dégénérés-invariants symplectiques d'une singularité focus-focus simple
    • Mémoire de DEA, université de Montpellier
    • D. Grossi, Systèmes intégrables non dégénérés-invariants symplectiques d'une singularité focus-focus simple, Mémoire de DEA, université de Montpellier, 1995.
    • (1995)
    • Grossi, D.1
  • 8
    • 0011462012 scopus 로고
    • A topological classification of integrable hamiltonian systems
    • R. Brouzet (Ed.), Université Montpellier
    • Z. Nguyên Tiên, A topological classification of integrable hamiltonian systems, in: R. Brouzet (Ed.), Séminaire Gaston Darboux de géometrie et topologie différentielle, Université Montpellier II, 1994-1995, pp. 43-54.
    • (1994) Séminaire Gaston Darboux De Géometrie Et Topologie Différentielle , vol.2 , pp. 43-54
    • Nguyên Tiên, Z.1
  • 9
    • 9344225119 scopus 로고    scopus 로고
    • A note on focus-focus singularities
    • Z. Nguyên Tiên, A note on focus-focus singularities, Differential Geom. Appl. 7 (2) (1997) 123-130.
    • (1997) Differential Geom. Appl , vol.7 , Issue.2 , pp. 123-130
    • Nguyên Tiên, Z.1
  • 10
    • 0038026787 scopus 로고    scopus 로고
    • Bohr-Sommerfeld conditions for integrable systems with critical manifolds of focus-focus type
    • S. Vũ Ngoc, Bohr-Sommerfeld conditions for integrable systems with critical manifolds of focus-focus type, Comm. Pure Appl. Math. 53 (2) (2000) 143-217.
    • (2000) Comm. Pure Appl. Math , vol.53 , Issue.2 , pp. 143-217
    • Vũ Ngoc, S.1
  • 11
    • 0001151166 scopus 로고    scopus 로고
    • Formes normales semi-classiques des systèmes complètement intégrables au voisinage d'un point critique de l'application moment
    • S. Vũ Ngoc, Formes normales semi-classiques des systèmes complètement intégrables au voisinage d'un point critique de l'application moment, Asymptotic Anal. 24 (3,4) (2000) 319-342.
    • (2000) Asymptotic Anal , vol.24 , Issue.3-4 , pp. 319-342
    • Vũ Ngoc, S.1
  • 12
    • 0000595516 scopus 로고
    • Symplectic manifolds and their lagrangian submanifolds
    • A. Weinstein, Symplectic manifolds and their lagrangian submanifolds, Adv. Math. 6 (1971) 329-346.
    • (1971) Adv. Math , vol.6 , pp. 329-346
    • Weinstein, A.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.