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Volumn 222, Issue 1, 1998, Pages 255-267

Existence of Higher Dimensional Invariant Tori for Hamiltonian Systems

Author keywords

KAM tori; Hamiltonian system; degeneracy

Indexed keywords


EID: 0010150852     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1998.5939     Document Type: Article
Times cited : (12)

References (13)
  • 1
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    • Arnold V. I. Proof of a theorem by A. N. Kolmogorov on the preservation of quasi-periodic motions under small perturbations of the Hamiltonian. Uspekhi Mat. Nauk. 18:1963;13-40.
    • (1963) Uspekhi Mat. Nauk. , vol.18 , pp. 13-40
    • Arnold, V.I.1
  • 2
    • 0000882204 scopus 로고
    • On the elliptic lower dimensional tori in Hamiltonian systems
    • Pöschel J. On the elliptic lower dimensional tori in Hamiltonian systems. Math. Z. 202:1989;559-608.
    • (1989) Math. Z. , vol.202 , pp. 559-608
    • Pöschel, J.1
  • 3
    • 0000412297 scopus 로고
    • Perturbations of stable invariant tori for Hamiltonian systems
    • Eliasson L. H. Perturbations of stable invariant tori for Hamiltonian systems. Ann. Scuola Norm. Sup. Pisa Cl. Sci. Ser. (4). 15:1988;115-147.
    • (1988) Ann. Scuola Norm. Sup. Pisa Cl. Sci. Ser. (4) , vol.15 , pp. 115-147
    • Eliasson, L.H.1
  • 4
    • 0041165771 scopus 로고
    • Some problems of the KAM-theory: Conditionally periodic motions in typical systems
    • Sevryuk M. B. Some problems of the KAM-theory: conditionally periodic motions in typical systems. Uspekhi Mat. Nauk. 50:1995;111-124.
    • (1995) Uspekhi Mat. Nauk. , vol.50 , pp. 111-124
    • Sevryuk, M.B.1
  • 5
    • 0001078319 scopus 로고
    • Existence of KAM tori in degenerate Hamiltonian systems
    • Cheng C.-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, C.-Q.1    Sun, Y.-S.2
  • 6
    • 34249956274 scopus 로고
    • Existence of invariant tori in three dimensional measure-preserving mappings
    • Cheng C.-Q., Sun Y.-S. Existence of invariant tori in three dimensional measure-preserving mappings. Celestial Mech. Dynam. Astronom. 47:1990;275-292.
    • (1990) Celestial Mech. Dynam. Astronom. , vol.47 , pp. 275-292
    • Cheng, C.-Q.1    Sun, Y.-S.2
  • 7
    • 0010135790 scopus 로고
    • On preservation of multidimensional invariant tori of Hamiltonian systems
    • Parasyuk I. O. On preservation of multidimensional invariant tori of Hamiltonian systems. Ukrain. Mat. Zh. 36:1984;467-473.
    • (1984) Ukrain. Mat. Zh. , vol.36 , pp. 467-473
    • Parasyuk, I.O.1
  • 8
    • 84971922159 scopus 로고
    • Existence of invariant tori in volume-preserving diffeomorphisms
    • Xia Z.-H. Existence of invariant tori in volume-preserving diffeomorphisms. Ergodic Theory Dynam. Systems. 12:1992;621-631.
    • (1992) Ergodic Theory Dynam. Systems , vol.12 , pp. 621-631
    • Xia, Z.-H.1
  • 9
    • 0031285618 scopus 로고    scopus 로고
    • Invariant tori for nearly integrable Hamiltonian systems with degeneracy
    • 1997, 387
    • J. X. Xu, J. G. You, Q. J. Qiu, Invariant tori for nearly integrable Hamiltonian systems with degeneracy, Math. Z. 1997, 226, 1997, 375, 387.
    • (1997) Math. Z. , vol.226 , pp. 375
    • Xu, J.X.1    You, J.G.2    Qiu, Q.J.3
  • 10
    • 0010211087 scopus 로고    scopus 로고
    • Invariant tori for neary twist mappings with intersection property
    • Fuzhong Cong, Yong Li, Mingyou Huang. Invariant tori for neary twist mappings with intersection property. Northeast. Math. J. 12:1996;280-298.
    • (1996) Northeast. Math. J. , vol.12 , pp. 280-298
    • Fuzhong Cong1    Yong Li2    Mingyou Huang3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.