메뉴 건너뛰기




Volumn 49, Issue 1, 1997, Pages 73-114

Integrable symplectic maps and their birkhoff normal forms

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031475689     PISSN: 00408735     EISSN: None     Source Type: Journal    
DOI: 10.2748/tmj/1178225186     Document Type: Article
Times cited : (5)

References (13)
  • 1
    • 0003319234 scopus 로고
    • Mathematical Methods of Classical Mechanics
    • 2nd ed, Berlin-Heidelberg-New York, Springer-Verlag
    • V. I. Arnol’d, Mathematical Methods of Classical Mechanics, 2nd ed., Graduate Texts in Math. 60, Berlin-Heidelberg-New York, Springer-Verlag, 1989.
    • (1989) Graduate Texts in Math , vol.60
    • Arnol’d, V.I.1
  • 2
    • 34250588943 scopus 로고
    • Surface transformations and their dynamical applications
    • G. D. Birkhoff, Surface transformations and their dynamical applications, Acta Math. 43 (1920), 1-119.
    • (1920) Acta Math , vol.43 , pp. 1-119
    • Birkhoff, G.D.1
  • 4
    • 0011667362 scopus 로고
    • Unipotent normal forms for symplectic maps
    • T. J. Bridges and R. H. Cushman, Unipotent normal forms for symplectic maps, Phisica D 65 (1993), 211-241.
    • (1993) Phisica D , vol.65 , pp. 211-241
    • Bridges, T.J.1    Cushman, R.H.2
  • 5
    • 0002867258 scopus 로고
    • Versal deformations of linear hamiltonian systems
    • D. M. Galin, Versal deformations of linear hamiltonian systems, Amer. Math. Soc. Transl. Ser 2 118 (1982), 1-12.
    • (1982) Amer. Math. Soc. Transl. Ser , vol.2 , Issue.118 , pp. 1-12
    • Galin, D.M.1
  • 6
    • 0003198090 scopus 로고
    • Introduction to Lie algebras and representation theory
    • 2nd printing, Berlin-Heidelberg-New York, Springer-Verlag
    • J. E. Humphreys, Introduction to Lie algebras and representation theory, 2nd printing. Graduate Texts in Math. 9, Berlin-Heidelberg-New York, Springer-Verlag, 1972.
    • (1972) Graduate Texts in Math , vol.9
    • Humphreys, J.E.1
  • 7
    • 51249174723 scopus 로고
    • Convergence of Birkhoff normal forms for integrable systems, Comment
    • H. Ito, Convergence of Birkhoff normal forms for integrable systems, Comment. Math. Helv. 64 (1989), 412-461.
    • (1989) Math. Helv , vol.64 , pp. 412-461
    • Ito, H.1
  • 8
    • 0001110443 scopus 로고
    • Integrability of Hamiltonian systems and Birkhoff normal forms in the simple resonance case
    • H. Ito, Integrability of Hamiltonian systems and Birkhoff normal forms in the simple resonance case, Math. Ann. 292 (1992), 411-444.
    • (1992) Math. Ann , vol.292 , pp. 411-444
    • Ito, H.1
  • 9
    • 0001880654 scopus 로고
    • On the inclusion of analytic symplectic maps in analytic Hamiltonian flows and its applications
    • (S. Kuksin, V. Lazutkin, J. Poschel, eds.), Birkhäuser
    • S. B. Kuksin, and J. Pöschel, On the inclusion of analytic symplectic maps in analytic Hamiltonian flows and its applications, in Seminar on Dynamical Systems (S. Kuksin, V. Lazutkin, J. Poschel, eds.), Birkhäuser, (1994), 96-116.
    • (1994) Seminar on Dynamical Systems , pp. 96-116
    • Kuksin, S.B.1    Pöschel, J.2
  • 10
    • 0002945849 scopus 로고
    • Lectures on Hamiltonian systems
    • J. Moser, Lectures on Hamiltonian systems, Mem. Amer. Math. Soc. 81, (1968).
    • (1968) Mem. Amer. Math. Soc , pp. 81
    • Moser, J.1
  • 11
    • 0004111695 scopus 로고
    • The Hamiltonian Hopf Bifurcation
    • Berlin-Heidelberg-New York, Springer-Verlag
    • J. C. van der Meer, The Hamiltonian Hopf Bifurcation, Lecture Notes in Math. 1160, Berlin-Heidelberg-New York, Springer-Verlag, (1985).
    • (1985) Lecture Notes in Math , vol.1160
    • Van Der Meer, J.C.1
  • 12
    • 0002309914 scopus 로고
    • On the normal forms of linear canonical transformations in dynamics
    • J. Williamson, On the normal forms of linear canonical transformations in dynamics, Amer. J. Math. 59 (1937), 599-617.
    • (1937) Amer. J. Math , vol.59 , pp. 599-617
    • Williamson, J.1
  • 13
    • 0041020915 scopus 로고
    • Branching of solutions and nonexistence of first integrals in Hamiltonian mechanics I
    • S. L. Ziglin, Branching of solutions and nonexistence of first integrals in Hamiltonian mechanics I, Functional Anal. Appl. 16 (1983), 181-189.
    • (1983) Functional Anal. Appl , vol.16 , pp. 181-189
    • Ziglin, S.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.