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Volumn 208, Issue 2, 1997, Pages 372-387

Persistence of elliptic lower dimensional invariant tori for small perturbation of degenerate integrable Hamiltonian systems

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; INTEGRATION; ITERATIVE METHODS; LINEARIZATION; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; THEOREM PROVING; VECTORS;

EID: 0031109179     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5313     Document Type: Article
Times cited : (11)

References (13)
  • 1
    • 0001246972 scopus 로고
    • On the persistence of conditionally quasi-periodic motions for a small change in Hamilton's function
    • Kolmogorov A. N. On the persistence of conditionally quasi-periodic motions for a small change in Hamilton's function. Dokl. Akad. Nauk USSR. 98:1954;527-530.
    • (1954) Dokl. Akad. Nauk USSR , vol.98 , pp. 527-530
    • Kolmogorov, A.N.1
  • 2
    • 0002764805 scopus 로고
    • Proof of a theorem by A. N. Kolmogorov on the persistence of quasi periodic motions under small perturbations of the Hamiltonian
    • Arnold V. I. Proof of a theorem by A. N. Kolmogorov on the persistence of quasi periodic motions under small perturbations of the Hamiltonian. Russian Math. Surveys. 18:1963;9-36.
    • (1963) Russian Math. Surveys , vol.18 , pp. 9-36
    • Arnold, V.I.1
  • 3
    • 0001055171 scopus 로고
    • Analytic form of differential equations
    • Bruno A. D. Analytic form of differential equations. Trans. Moscow Math. Soc. 25:1971;131-288.
    • (1971) Trans. Moscow Math. Soc. , vol.25 , pp. 131-288
    • Bruno, A.D.1
  • 4
    • 0001078319 scopus 로고
    • Existence of KAM tori in degenerate Hamiltonian systems
    • Cheng Ch.-Q., Sun Y.-S. Existence of KAM tori in degenerate Hamiltonian systems. J. Differential Equations. 114:1994;288-335.
    • (1994) J. Differential Equations , vol.114 , pp. 288-335
    • Cheng, Ch.-Q.1    Sun, Y.-S.2
  • 6
    • 3042570326 scopus 로고
    • Convergent series expansion for quasi-periodic motions
    • Moser J. Convergent series expansion for quasi-periodic motions. Math. Ann. 169:1967;136-176.
    • (1967) Math. Ann. , vol.169 , pp. 136-176
    • Moser, J.1
  • 7
    • 0003053373 scopus 로고
    • On the continuation of hyperbolic invariant tori for hamiltonian systems
    • Graff S. M. On the continuation of hyperbolic invariant tori for hamiltonian systems. J. Differential Equations. 15:1974;1-69.
    • (1974) J. Differential Equations , vol.15 , pp. 1-69
    • Graff, S.M.1
  • 8
    • 84980167395 scopus 로고
    • Generalized implicit function theorem with applications to some small divisor problems 1, and 2
    • Zehnder E. Generalized implicit function theorem with applications to some small divisor problems 1, and 2. Comm. Pure Appl. Math. 29:1976;49-111.
    • (1976) Comm. Pure Appl. Math. , vol.29 , pp. 49-111
    • Zehnder, E.1
  • 9
    • 0001020164 scopus 로고
    • On some cases of conservation of conditionally periodic motions under a small change of the Hamiltonian function
    • Melnikov V. K. On some cases of conservation of conditionally periodic motions under a small change of the Hamiltonian function. Soviet Math. Dokl. 6:1965;1592-1596.
    • (1965) Soviet Math. Dokl. , vol.6 , pp. 1592-1596
    • Melnikov, V.K.1
  • 10
    • 0000412297 scopus 로고
    • Perturbations of stable invariant tori for Hamiltonian systems
    • Eliasson L. H. Perturbations of stable invariant tori for Hamiltonian systems. Ann. Sci. École Norm. Sup. 15:1988;115-147.
    • (1988) Ann. Sci. École Norm. Sup. , vol.15 , pp. 115-147
    • Eliasson, L.H.1
  • 11
    • 0000882204 scopus 로고
    • On elliptic lower dimensional tori in Hamiltonian systems
    • Pöschel J. On elliptic lower dimensional tori in Hamiltonian systems. Math. Z. 202:1989;559-608.
    • (1989) Math. Z. , vol.202 , pp. 559-608
    • Pöschel, J.1
  • 12
    • 0001836195 scopus 로고
    • Nearly integrable infinite dimensional Hamiltonian systems
    • Berlin: Springer-Verlag
    • Kuksin S. B. Nearly integrable infinite dimensional Hamiltonian systems. Lecture Notes in Mathematics. 1556:1993;Springer-Verlag, Berlin.
    • (1993) Lecture Notes in Mathematics , vol.1556
    • Kuksin, S.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.