메뉴 건너뛰기




Volumn 7, Issue 2, 1997, Pages 123-130

A note on focus-focus singularities

Author keywords

Integrable Hamiltonian system; Monodromy; Singularity

Indexed keywords


EID: 9344225119     PISSN: 09262245     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0926-2245(96)00042-3     Document Type: Article
Times cited : (107)

References (21)
  • 2
    • 0347904275 scopus 로고
    • Monodromy in the champagne bottle
    • L. Bates, Monodromy in the champagne bottle, Z. Angew, Math. Phys. 42 (1991) 837-847.
    • (1991) Z. Angew, Math. Phys. , vol.42 , pp. 837-847
    • Bates, L.1
  • 3
    • 9344235894 scopus 로고
    • Decomposition of Lagrangian intersections under symplectic isotopy
    • M, Brunella. Decomposition of Lagrangian intersections under symplectic isotopy, Bolettino UMI A 5 (1991) 353-361.
    • (1991) Bolettino UMI A , vol.5 , pp. 353-361
    • Brunella, M.1
  • 4
    • 0007105901 scopus 로고
    • The energy momentum mapping of the Lagrange top
    • Springer
    • R. Cushman and H. Knörrer, The energy momentum mapping of the Lagrange top, in: Lecture Notes in Math. 1139 (Springer, 1985) 12-24.
    • (1985) Lecture Notes in Math. , vol.1139 , pp. 12-24
    • Cushman, R.1    Knörrer, H.2
  • 6
    • 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
  • 7
    • 51249174640 scopus 로고
    • Normal form for Hamiltonian systems with Poisson commuting integrals - Elliptic case
    • L.H. Eliasson, Normal form for Hamiltonian systems with Poisson commuting integrals - elliptic case, Comm. Math. Helv. 65 (1990) 4-35.
    • (1990) Comm. Math. Helv. , vol.65 , pp. 4-35
    • Eliasson, L.H.1
  • 9
    • 0000234778 scopus 로고
    • 2 on a four-dimensional symplectic manifold. I and II
    • 2 on a four-dimensional symplectic manifold. I and II, Selecta Math. Sovietica 6 (1987) 365-396 and 7 (1988) 39-48.
    • (1987) Selecta Math. Sovietica , vol.6 , pp. 365-396
    • Lerman, L.1    Umanskii, Ya.2
  • 10
    • 0040796936 scopus 로고
    • 2 on a four-dimensional symplectic manifold. I and II, Selecta Math. Sovietica 6 (1987) 365-396 and 7 (1988) 39-48.
    • (1988) Selecta Math. Sovietica , vol.7 , pp. 39-48
  • 11
    • 0006082624 scopus 로고
    • 2 in extended neighborhoods of simple singular points. I and II
    • 2 in extended neighborhoods of simple singular points. I and II, Russ. Math. Sb. 77 (1994) 511-542 and 78 (1994) 479-506.
    • (1994) Russ. Math. Sb. , vol.77 , pp. 511-542
    • Lerman, L.1    Umanskii, Ya.2
  • 12
    • 0006082624 scopus 로고
    • 2 in extended neighborhoods of simple singular points. I and II, Russ. Math. Sb. 77 (1994) 511-542 and 78 (1994) 479-506.
    • (1994) Russ. Math. Sb. , vol.78 , pp. 479-506
  • 14
    • 84968494100 scopus 로고
    • On the volume elements on manifolds
    • J. Moser, On the volume elements on manifolds, Trans. AMS 120 (1965) 280-296.
    • (1965) Trans. AMS , vol.120 , pp. 280-296
    • Moser, J.1
  • 15
    • 0003023386 scopus 로고
    • Fomenko invariants for the main integrable cases of the rigid body motion equations
    • A.T. Fomenko, ed.
    • A.A. Oshemkov, Fomenko invariants for the main integrable cases of the rigid body motion equations, in: A.T. Fomenko, ed., Advances in Soviet Mathematics 6 (1991) 67-146.
    • (1991) Advances in Soviet Mathematics , vol.6 , pp. 67-146
    • Oshemkov, A.A.1
  • 16
    • 0012866359 scopus 로고
    • Construction of bifurcation sets in a problem of rigid body dynamics
    • in Russian
    • T.I. Pogosyan, Construction of bifurcation sets in a problem of rigid body dynamics, Mekh. Tverd. Tela 12 (1980) 9-16 (in Russian).
    • (1980) Mekh. Tverd. Tela , vol.12 , pp. 9-16
    • Pogosyan, T.I.1
  • 17
    • 0000132941 scopus 로고
    • Sur certains systemes dynamiques separables
    • J. Vey, Sur certains systemes dynamiques separables. Amer. J. Math. 100 (1978) 591-614.
    • (1978) Amer. J. Math. , vol.100 , pp. 591-614
    • Vey, J.1
  • 18
  • 19
    • 0001316020 scopus 로고
    • On the algebraic problem concerning the normal forms of linear dynamical systems
    • J. Williamson, On the algebraic problem concerning the normal forms of linear dynamical systems, Amer. J. Math. 58 (1936) 141-163.
    • (1936) Amer. J. Math. , vol.58 , pp. 141-163
    • Williamson, J.1
  • 20
    • 0003162617 scopus 로고
    • Monodromy in two degrees of freedom integrable systems
    • M. Zou, Monodromy in two degrees of freedom integrable systems, J, Geom. Phys. 10 (1992) 37-45.
    • (1992) J, Geom. Phys. , vol.10 , pp. 37-45
    • Zou, M.1
  • 21
    • 0000518598 scopus 로고    scopus 로고
    • Symplectic topology of integrable Hamiltonian systems
    • Ph.D. thesis, Strasbourg 1994, and Symplectic topology of integrable Hamiltonian systems. I: Amold-Liouville with singularities
    • Nguyen Tien Zung, Symplectic topology of integrable Hamiltonian systems, Ph.D. thesis, Strasbourg 1994, and Symplectic topology of integrable Hamiltonian systems. I: Amold-Liouville with singularities, Composirio Math. 101 (1996) 179-215.
    • (1996) Composirio Math. , vol.101 , pp. 179-215
    • Nguyen, T.Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.