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Volumn 155, Issue 2, 1999, Pages 311-326

The surviving of lower dimensional tori from a resonant torus of Hamiltonian systems

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EID: 0033164389     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1998.3586     Document Type: Article
Times cited : (28)

References (12)
  • 1
    • 34250101375 scopus 로고
    • Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian systems with convex Hamiltonians
    • D. Bernstein and A. Katok, Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian systems with convex Hamiltonians, Invent. Math. 88 (1987), 225-241.
    • (1987) Invent. Math. , vol.88 , pp. 225-241
    • Bernstein, D.1    Katok, A.2
  • 2
    • 0040799578 scopus 로고    scopus 로고
    • Birkhoff-Kolmogorov-Arnold-Moser tori in convex Hamiltonian systems
    • C. Q. Cheng, Birkhoff-Kolmogorov-Arnold-Moser tori in convex Hamiltonian systems, Comm. Math. Phys. 177 (1996), 529-559.
    • (1996) Comm. Math. Phys. , vol.177 , pp. 529-559
    • Cheng, C.Q.1
  • 4
    • 0000412297 scopus 로고
    • Perturbations of stable invariant tori for Hamiltonian systems
    • L. H. Eliasson, Perturbations of stable invariant tori for Hamiltonian systems, Ann. Scuola Norm. Sup. Pisa 15 (1988), 115-147.
    • (1988) Ann. Scuola Norm. Sup. Pisa , vol.15 , pp. 115-147
    • Eliasson, L.H.1
  • 5
    • 0003053373 scopus 로고
    • On the conservation if hyperbolic invariant tori for Hamiltonian systems
    • S. M. Graff, On the conservation if hyperbolic invariant tori for Hamiltonian systems, J. Differerential Equations 15 (1974), 1-69.
    • (1974) J. Differerential Equations , vol.15 , pp. 1-69
    • Graff, S.M.1
  • 6
    • 0000652097 scopus 로고
    • Sur les courbes invariantes par les difféomorphismes de l'anneau
    • M. R. Herman, Sur les courbes invariantes par les difféomorphismes de l'anneau, Astérisque 103 (1983), 3-221.
    • (1983) Astérisque , vol.103 , pp. 3-221
    • Herman, M.R.1
  • 7
    • 0000652097 scopus 로고
    • Sur les courbes invariantes par les difféomorphismes de l'anneau
    • M. R. Herman, Sur les courbes invariantes par les difféomorphismes de l'anneau, Astérisque 104 (1986), 3-221.
    • (1986) Astérisque , vol.104 , pp. 3-221
    • Herman, M.R.1
  • 10
    • 0001851184 scopus 로고
    • On invariant curves of area-preserving mappings of an annulus
    • J. Moser, On invariant curves of area-preserving mappings of an annulus, Nachr. Akad. Wiss. Göttingen Math.-phys. KI. (1962), 1-20.
    • (1962) Nachr. Akad. Wiss. Göttingen Math.-phys. KI , pp. 1-20
    • Moser, J.1
  • 11
    • 0000882204 scopus 로고
    • On elliptic lower dimensional tori in Hamiltonian systems
    • J. Pöschel, 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
    • 3042926459 scopus 로고
    • Mechanism for destroying resonace tori of Hamiltonian systems
    • D. V. Treshchëv, Mechanism for destroying resonace tori of Hamiltonian systems, Math. USSR Sb. 68 (1991), 181-203.
    • (1991) Math. USSR Sb. , vol.68 , pp. 181-203
    • Treshchëv, D.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.