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Volumn 226, Issue 3, 1997, Pages 375-387

Invariant tori for nearly integrable Hamiltonian systems with degeneracy

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EID: 0031285618     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004344     Document Type: Article
Times cited : (143)

References (13)
  • 1
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    • Proof of A.N. Kolmogorov's theorem on the preservation of quasi periodic motions under small perturbations of the Hamiltonian
    • Arnol'd, V.I.: Proof of A.N. Kolmogorov's theorem on the preservation of quasi periodic motions under small perturbations of the Hamiltonian. Russian Math. Surveys 18(5) (1963), 9-36
    • (1963) Russian Math. Surveys , vol.18 , Issue.5 , pp. 9-36
    • Arnol'd, V.I.1
  • 3
    • 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. Diff. Equa. 114 (1994), 288-335
    • (1994) J. Diff. Equa. , vol.114 , pp. 288-335
    • Cheng, Ch.-Q.1    Sun, Y.-S.2
  • 4
    • 0000412297 scopus 로고
    • Perturbations of stable invariant tori for Hamiltonian systems
    • Eliasson, L.H.: Perturbations of stable invariant tori for Hamiltonian systems. Ann. Sc. Norm. Super. Pisa, Cl. Sci. IV 15 (1988), 115-147
    • (1988) Ann. Sc. Norm. Super. Pisa, Cl. Sci. IV , vol.15 , pp. 115-147
    • Eliasson, L.H.1
  • 5
    • 0001246972 scopus 로고
    • On the persistence of quasi-periodic motions under small perturbations of the Hamiltonian
    • Kolmogorov, A.N.: On the persistence of quasi-periodic motions under small perturbations of the Hamiltonian. Doklady Akad. Nauk USSR 98 (1954), 527-530
    • (1954) Doklady Akad. Nauk USSR , vol.98 , pp. 527-530
    • Kolmogorov, A.N.1
  • 6
    • 0001851184 scopus 로고
    • On invariant curves of area-preserving mappings of an annulus
    • Moser, J.: On invariant curves of area-preserving mappings of an annulus. Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. 2, Nr. 1 (1962), 1-20
    • (1962) Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. , vol.2 , Issue.1 , pp. 1-20
    • Moser, J.1
  • 7
    • 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
  • 8
    • 84990623105 scopus 로고
    • Integrability of Hamiltonian systems on Cantor sets
    • Pöschel, J.: Integrability of Hamiltonian systems on Cantor sets. Commun. Pure. Appl. Math. 35 (1982), 653-696
    • (1982) Commun. Pure. Appl. Math. , vol.35 , pp. 653-696
    • Pöschel, J.1
  • 10
    • 0001575219 scopus 로고
    • Diophantine approximations on submanifolds of Euclidean space
    • Pyartli, A.S.: Diophantine approximations on submanifolds of Euclidean space. Funct. Anal. Appl. 3 (1969), 303-306
    • (1969) Funct. Anal. Appl. , vol.3 , pp. 303-306
    • Pyartli, A.S.1
  • 12
    • 77956456169 scopus 로고
    • Analytical extensions of differentiable functions defined in closed sets
    • Whitney, H.: Analytical extensions of differentiable functions defined in closed sets. Trans. A.M.S. 36 (1934), 63-89
    • (1934) Trans. A.M.S. , vol.36 , pp. 63-89
    • Whitney, H.1
  • 13
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    • KAM-stable Hamiltonians
    • Sevryuk, M.B.: KAM-stable Hamiltonians. J. Dyn. Control Syst. 1 (1995), 351-366
    • (1995) J. Dyn. Control Syst. , vol.1 , pp. 351-366
    • Sevryuk, M.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.