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Volumn 90, Issue 3, 1996, Pages 225-234

KAM theorem revisited

Author keywords

Classical mechanics; Euclidean quantum field theory; KAM theorem; Perturbation theory; Renormalization group

Indexed keywords


EID: 0000818904     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-2789(95)00251-0     Document Type: Article
Times cited : (16)

References (21)
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  • 2
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    • english translation
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  • 4
    • 0001055171 scopus 로고
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    • Bryuno, A.D.1
  • 5
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    • The analytic form of differential equations II
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    • (1972) Trans. Moscow Math. Soc. , vol.26 , pp. 199-239
  • 8
    • 0039008656 scopus 로고
    • Hamiltonian systems with linear normal form near an invariant torus
    • ed. G. Turchetti, Bologna Conference, 30/5 to 3/6 World Scientific, Singapore
    • L.H. Eliasson, Hamiltonian systems with linear normal form near an invariant torus, in: Nonlinear Dynamics, ed. G. Turchetti, Bologna Conference, 30/5 to 3/6 1988 (World Scientific, Singapore, 1989).
    • (1988) Nonlinear Dynamics
    • Eliasson, L.H.1
  • 9
    • 0040787054 scopus 로고
    • Generalization of an estimate of small divisors by Siegel
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    • (1990) Analysis, et Cetera
    • Eliasson, L.H.1
  • 10
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    • Renormalization on classical mechanics and many body quantum field theory
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    • Feldman, J.1    Trubowitz, E.2
  • 11
    • 21344496040 scopus 로고
    • Twistless KAM tori
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    • (1994) Comm. Math. Phys. , vol.164 , pp. 145-156
    • Gallavotti, G.1
  • 12
    • 0037677800 scopus 로고
    • Perturbation Theory
    • eds. R. Sen and A. Gersten Ben Gurion University Press, Ber Sheva
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    • (1994) Mathematical Physics Towards the XXI Century , pp. 275-294
    • Gallavotti, G.1
  • 14
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    • Methods for the analysis of the Lindstedt series for KAM tori and renormalizability in classical mechanics. A review with some applications
    • to appear
    • G. Gentile and V. Mastropietro, Methods for the analysis of the Lindstedt series for KAM tori and renormalizability in classical mechanics. A review with some applications, Rev. Math. Phys., to appear (1995).
    • (1995) Rev. Math. Phys.
    • Gentile, G.1    Mastropietro, V.2
  • 15
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    • On the preservation of conditionally periodic motions
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    • (1954) Dokl. Akad. Nauk , vol.96 , pp. 527-530
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  • 16
    • 0000152120 scopus 로고
    • Stochastic behavior in classical and quantum hamiltonian
    • english translation Springer, Berlin
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  • 19
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  • 20
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.