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Volumn 2, Issue , 1996, Pages 1-33

Absolutely convergent series expansions for quasi periodic motions

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EID: 3042561484     PISSN: 10866655     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review
Times cited : (95)

References (13)
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    • The general theory of dynamical systems and classical mechanics
    • R. Abraham, J. E. Marsden, Foundations of mechanics, Benjamin
    • A. N. Kolmogorov, The general theory of dynamical systems and classical mechanics, Proc. of the 1954 Intern. Congr. of Math., in R. Abraham, J. E. Marsden, Foundations of mechanics, Benjamin (1978)
    • (1978) Proc. of the 1954 Intern. Congr. of Math.
    • Kolmogorov, A.N.1
  • 3
    • 3042663406 scopus 로고
    • Proof of A.N. Kolmogorov's theorem on the preservation of quasi-periodic motions under small perturbations of the Hamiltonian
    • V. I. Arnold, Proof of A.N. Kolmogorov's theorem on the preservation of quasi-periodic motions under small perturbations of the Hamiltonian, Russ. Math. Surv. 18 (1962)
    • (1962) Russ. Math. Surv. , pp. 18
    • Arnold, V.I.1
  • 4
    • 3042570326 scopus 로고
    • Convergent series expansions for quasi periodic motions
    • J. Moser, Convergent series expansions for quasi periodic motions, Math. Ann. 169 (1967)
    • (1967) Math. Ann. , pp. 169
    • Moser, J.1
  • 5
    • 0000595016 scopus 로고
    • Iterations of analytic functions
    • C. L. Siegel, Iterations of analytic functions, Ann. Math. 43 (1942)
    • (1942) Ann. Math. , pp. 43
    • Siegel, C.L.1
  • 9
    • 0000171764 scopus 로고
    • Infinite lie groups and the formal aspects of dynamical systems
    • S. Sternberg, Infinite Lie groups and the Formal Aspects of Dynamical Systems, J. Math. Mech. 10 (1961)
    • (1961) J. Math. Mech. , pp. 10
    • Sternberg, S.1
  • 10
    • 0002341745 scopus 로고
    • Über die normalform analytischer diffrentialgleichungen in der nähe einer gleichgewichtslösung
    • C. L. Siegel, Über die Normalform analytischer Diffrentialgleichungen in der Nähe einer Gleichgewichtslösung, Nachr. Akad. Wiss. Göttingen, math.-phys. Kl. (1952)
    • (1952) Nachr. Akad. Wiss. Göttingen, Math.-phys. Kl.
    • Siegel, C.L.1
  • 11
    • 0007225375 scopus 로고
    • On invariant manifolds of complex analytic mappings near fixed points
    • J. Pöschel, On invariant manifolds of complex analytic mappings near fixed points, Expo. Math. 4 (1986)
    • (1986) Expo. Math. , pp. 4
    • Pöschel, J.1
  • 12
    • 0001055171 scopus 로고
    • Analytic form of differential equations
    • A. D. Brjuno, Analytic form of differential equations, Trans. Moscow Math. Soc. 25 (1971)
    • (1971) Trans. Moscow Math. Soc. , pp. 25
    • Brjuno, A.D.1
  • 13
    • 3042533645 scopus 로고
    • Small denominators I. Mappings of the circumpherence onto itself
    • series 2
    • V. I. Arnold, Small denominators I. Mappings of the circumpherence onto itself, AMS Transl., series 2, 46 (1965)
    • (1965) AMS Transl. , pp. 46
    • Arnold, V.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.