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Volumn 18, Issue 2, 2003, Pages 159-163

A note on Gevrey regular KAM theory and the inverse approximation lemma

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; HAMILTONIANS; PERTURBATION TECHNIQUES; SET THEORY; THEOREM PROVING; TOPOLOGY; VECTORS;

EID: 0042031279     PISSN: 14689367     EISSN: None     Source Type: Journal    
DOI: 10.1080/1468936031000117857     Document Type: Article
Times cited : (31)

References (12)
  • 1
    • 0001486079 scopus 로고
    • Whitney's extension theorem for non-quasianalytic classes of ultradifferentiable functions
    • Bonet, J., Braun, R. W., Meise, R., and Taylor, B. A., 1991, Whitney's extension theorem for non-quasianalytic classes of ultradifferentiable functions. Studia Mathematica, 99: 155-184.
    • (1991) Studia Mathematica , vol.99 , pp. 155-184
    • Bonet, J.1    Braun, R.W.2    Meise, R.3    Taylor, B.A.4
  • 3
    • 0004233461 scopus 로고    scopus 로고
    • Quasi-periodic motions in familes of dynamical systems
    • Berlin: Springer
    • Broer, H. W., Huitema, G. B., and Sevryuk, M. B., 1996, Quasi-periodic Motions in Familes of Dynamical Systems, Lecture Notes in Mathematics, Vol. 1645 (Berlin: Springer).
    • (1996) Lecture Notes in Mathematics , vol.1645
    • Broer, H.W.1    Huitema, G.B.2    Sevryuk, M.B.3
  • 4
    • 0041022502 scopus 로고
    • Unfoldings and bifurcations of quasi-periodic tori
    • Providence, RI: AMS
    • Broer, H. W., Huitema, G. B., Takens, F., and Braaksma, B. L. J., 1990, Unfoldings and Bifurcations of Quasi-periodic Tori, Memoirs of the AMS, Vol. 421 (Providence, RI: AMS).
    • (1990) Memoirs of the AMS , vol.421
    • Broer, H.W.1    Huitema, G.B.2    Takens, F.3    Braaksma, B.L.J.4
  • 6
    • 3042570326 scopus 로고
    • Convergent series expansions for quais-periodic motions
    • Moser, J. 1967, Convergent series expansions for quais-periodic motions. Mathematische Annalen, 169: 136-176.
    • (1967) Mathematische Annalen , vol.169 , pp. 136-176
    • Moser, J.1
  • 7
    • 0034347241 scopus 로고    scopus 로고
    • Invariant tori, effective stability, and quasimodes with exponentially small error terms. I: Birkhoff normal forms
    • Popov, G., 2000a, Invariant tori, effective stability, and quasimodes with exponentially small error terms. I: Birkhoff normal forms. Annales Henri Poincaré, 1: 223-248.
    • (2000) Annales Henri Poincaré , vol.1 , pp. 223-248
    • Popov, G.1
  • 8
    • 0034364812 scopus 로고    scopus 로고
    • Invariant tori, effective stability, and quasimodes with exponentially small error terms. II: Quantum Birkhoff normal forms
    • Popov, G., 2000b, Invariant tori, effective stability, and quasimodes with exponentially small error terms. II: Quantum Birkhoff normal forms. Annales Henri Poincaré, 1: 249-279.
    • (2000) Annales Henri Poincaré , vol.1 , pp. 249-279
    • Popov, G.1
  • 11
    • 84980189959 scopus 로고
    • Generalized implicit function theorems with applications to some small divisor problems I
    • Zehnder, E., 1975, Generalized implicit function theorems with applications to some small divisor problems I. Communications in Pure and Applied Mathematics, 28: 91-140.
    • (1975) Communications in Pure and Applied Mathematics , vol.28 , pp. 91-140
    • Zehnder, E.1
  • 12
    • 84980167395 scopus 로고
    • Generalized implicit function theorems with applications to some small divisor problems II
    • Zehnder, E., 1976, Generalized implicit function theorems with applications to some small divisor problems II. Communications in Pure and Applied Mathematics, 29: 49-111.
    • (1976) Communications in Pure and Applied Mathematics , vol.29 , pp. 49-111
    • Zehnder, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.