메뉴 건너뛰기




Volumn 6, Issue 2, 2000, Pages 381-392

Transition tori near an elliptic fixed point

Author keywords

Arnold diffusion; Melnikov method; Symplectic geometry; Transition tori

Indexed keywords


EID: 0034420828     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2000.6.381     Document Type: Article
Times cited : (8)

References (19)
  • 1
    • 0000877933 scopus 로고
    • Instability of dynamical systems with several degrees of freedom
    • Arnold, V. I. (1964): Instability of dynamical systems with several degrees of freedom. Soviet Mathematical Dokl. 5, 581-585.
    • (1964) Soviet Mathematical Dokl. , vol.5 , pp. 581-585
    • Arnold, V.I.1
  • 2
    • 0001356311 scopus 로고
    • Persistence and smoothness of invariant manifolds for flows
    • Fenichel, N. (1971): Persistence and smoothness of invariant manifolds for flows. Indiana Univ. Math. J., 21, 193-226.
    • (1971) Indiana Univ. Math. J. , vol.21 , pp. 193-226
    • Fenichel, N.1
  • 3
    • 0016070051 scopus 로고
    • Asymptotic stability with rate conditions
    • Fenichel, N. (1974): Asymptotic stability with rate conditions. Indiana Univ. Math. J., 23, 1109-1137.
    • (1974) Indiana Univ. Math. J. , vol.23 , pp. 1109-1137
    • Fenichel, N.1
  • 4
    • 0001957566 scopus 로고
    • Asymptotic stability with rate conditions II
    • Fenichel, N. (1977): Asymptotic stability with rate conditions II. Indiana Univ. Math. J., 26, 81-93.
    • (1977) Indiana Univ. Math. J. , vol.26 , pp. 81-93
    • Fenichel, N.1
  • 7
    • 36749107242 scopus 로고
    • Melnikov's method and Arnold diffusion for perturbations of integrable Hamiltonian systems
    • Holmes, P.J.; Marsden, J. E. (1982): Melnikov's method and Arnold diffusion for perturbations of integrable Hamiltonian systems. J. Math. Phys., 23, 669-675.
    • (1982) J. Math. Phys. , vol.23 , pp. 669-675
    • Holmes, P.J.1    Marsden, J.E.2
  • 8
    • 0001764721 scopus 로고
    • Horseshoes and Arnold diffusion for Hamiltonian systems on Lie groups
    • Holmes, P. J.; Marsden, J. E. (1983): Horseshoes and Arnold diffusion for Hamiltonian systems on Lie groups. Indiana Univ. Math. J., 32, 273-309.
    • (1983) Indiana Univ. Math. J. , vol.32 , pp. 273-309
    • Holmes, P.J.1    Marsden, J.E.2
  • 9
    • 0001834849 scopus 로고
    • On the stability of the center for time periodic perturbations
    • Melnikov, V. K. (1963): On the stability of the center for time periodic perturbations. Trans. Moscow Math Soc., 12, 1-57.
    • (1963) Trans. Moscow Math Soc. , vol.12 , pp. 1-57
    • Melnikov, V.K.1
  • 10
    • 0030578641 scopus 로고    scopus 로고
    • Transition tori in the five-body problem
    • Moeckel, R. (1996): Transition tori in the five-body problem. J. of Diff. Eq., 129, 290-314.
    • (1996) J. of Diff. Eq. , vol.129 , pp. 290-314
    • Moeckel, R.1
  • 11
    • 0001035019 scopus 로고
    • Homoclinic orbits and oscillation for the planar three body problem
    • Robinson, C. (1984): Homoclinic orbits and oscillation for the planar three body problem. J. of Diff. Eq., 52, 356-377.
    • (1984) J. of Diff. Eq. , vol.52 , pp. 356-377
    • Robinson, C.1
  • 12
    • 0000936491 scopus 로고
    • Horseshoes for autonomous Hamiltonian systems using Melnikov integrals
    • Robinson, C. (1988): Horseshoes for autonomous Hamiltonian systems using Melnikov integrals. Ergodic Theory and Dynamical Systems, 8, 395-409.
    • (1988) Ergodic Theory and Dynamical Systems , vol.8 , pp. 395-409
    • Robinson, C.1
  • 16
    • 0042198963 scopus 로고
    • A heteroclinic map and the oscillatory capture escape motions in the three body problem
    • Lacomba, E. A.; Llibre, J. ed.
    • Xia, Z. (1993): A heteroclinic map and the oscillatory capture escape motions in the three body problem. Hamiltonian Systems And Celestial Mechanics (Lacomba, E. A.; Llibre, J. ed.), 191-208. Advances Series in Nonlinear Dynamics 4, World Scientific.
    • (1993) Hamiltonian Systems and Celestial Mechanics , pp. 191-208
    • Xia, Z.1
  • 17
    • 85037450623 scopus 로고    scopus 로고
    • World Scientific
    • Xia, Z. (1993): A heteroclinic map and the oscillatory capture escape motions in the three body problem. Hamiltonian Systems And Celestial Mechanics (Lacomba, E. A.; Llibre, J. ed.), 191-208. Advances Series in Nonlinear Dynamics 4, World Scientific.
    • Advances Series in Nonlinear Dynamics , vol.4
  • 18
    • 0000141386 scopus 로고
    • Arnold diffusion and oscillatory solutions in the planar three-body problem
    • Xia, Z. (1994): Arnold diffusion and oscillatory solutions in the planar three-body problem. J. of Diff. Eq., 110, 289-321.
    • (1994) J. of Diff. Eq. , vol.110 , pp. 289-321
    • Xia, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.