메뉴 건너뛰기




Volumn 44, Issue 3, 2004, Pages 571-584

An algorithm for detecting directional quasi-convexity

Author keywords

directional quasi convexity; Nekhoroshev stability

Indexed keywords


EID: 8144231271     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:BITN.0000046793.50393.c5     Document Type: Article
Times cited : (4)

References (17)
  • 1
    • 54649083612 scopus 로고    scopus 로고
    • Nekhoroshev-stability of L4 and L5 in the spatial restricted three-body problem
    • G. Benettin, F. Fassò, and M. Guzzo, Nekhoroshev-stability of L4 and L5 in the spatial restricted three-body problem, Reg. and Chaotic Dyn., 3 (1998), pp. 56-72.
    • (1998) Reg. and Chaotic Dyn. , vol.3 , pp. 56-72
    • Benettin, G.1    Fassò, F.2    Guzzo, M.3
  • 2
    • 0003260224 scopus 로고
    • Stability of motions near resonances in quasi-integrable Hamiltonian systems
    • G. Benettin and G. Gallavotti, Stability of motions near resonances in quasi-integrable Hamiltonian systems, J. Stat. Phys., 44 (1986), pp. 293-338.
    • (1986) J. Stat. Phys. , vol.44 , pp. 293-338
    • Benettin, G.1    Gallavotti, G.2
  • 3
    • 33746763011 scopus 로고    scopus 로고
    • The Levitron: An adiabatic trap for spins
    • M. V. Berry, The Levitron: An adiabatic trap for spins, Proc. Roy. Soc. London A, 452 (1996), pp. 1207-1220.
    • (1996) Proc. Roy. Soc. London A , vol.452 , pp. 1207-1220
    • Berry, M.V.1
  • 4
    • 0040625924 scopus 로고    scopus 로고
    • Stability of Levitrons
    • H. R. Dullin and R. W. Easton, Stability of Levitrons, Physica D, 126 (1999), pp. 1-17.
    • (1999) Physica D , vol.126 , pp. 1-17
    • Dullin, H.R.1    Easton, R.W.2
  • 6
    • 0032187844 scopus 로고    scopus 로고
    • Nekhoroshev-stability of elliptic equilibria of Hamiltonian systems
    • F. Fassò, M. Guzzo, and G. Benettin, Nekhoroshev-stability of elliptic equilibria of Hamiltonian systems, Comm. Math. Phys., 197 (1998), pp. 347-360.
    • (1998) Comm. Math. Phys. , vol.197 , pp. 347-360
    • Fassò, F.1    Guzzo, M.2    Benettin, G.3
  • 7
    • 0035620519 scopus 로고    scopus 로고
    • Stability properties of the Riemann ellipsoids
    • F. Fassò and D. Lewis, Stability properties of the Riemann ellipsoids, Arch. Rat. Mech. Anal., 158 (2001), pp. 259-292.
    • (2001) Arch. Rat. Mech. Anal. , vol.158 , pp. 259-292
    • Fassò, F.1    Lewis, D.2
  • 9
    • 0009101129 scopus 로고
    • Rigorous results on the power expansions for the integrals of a Hamiltonian system near an elliptic equilibrium point
    • A. Giorgilli, Rigorous results on the power expansions for the integrals of a Hamiltonian system near an elliptic equilibrium point, Ann. Inst. H. Poincaré - Phys. Thèor., 48 (1988), pp. 423-439.
    • (1988) Ann. Inst. H. Poincaré - Phys. Thèor. , vol.48 , pp. 423-439
    • Giorgilli, A.1
  • 10
    • 0000163515 scopus 로고
    • Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem
    • A. Giorgilli, A. Delshams, E. Fontich, L. Galgani, and C. Simó, Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem, J. Diff. Eq., 77 (1989), pp. 167-198.
    • (1989) J. Diff. Eq. , vol.77 , pp. 167-198
    • Giorgilli, A.1    Delshams, A.2    Fontich, E.3    Galgani, L.4    Simó, C.5
  • 13
    • 82255190560 scopus 로고
    • Canonical perturbation theory via simultaneous approximation
    • P. Lochak, Canonical perturbation theory via simultaneous approximation, Russian Math. Surveys, 47 (1992), pp. 57-133.
    • (1992) Russian Math. Surveys , vol.47 , pp. 57-133
    • Lochak, P.1
  • 15
    • 0002650276 scopus 로고
    • An exponential estimate of the time of stability of nearly integrable Hamiltonian systems
    • N. N. Nekhoroshev, An exponential estimate of the time of stability of nearly integrable Hamiltonian systems, Uspekhi Mat. Nauk, 32 (1977), pp. 5-66.
    • (1977) Uspekhi Mat. Nauk , vol.32 , pp. 5-66
    • Nekhoroshev, N.N.1
  • 16
    • 0346706013 scopus 로고    scopus 로고
    • Nonlinear stability around an elliptic equilibrium point in a Hamiltonian system
    • L. Niederman, Nonlinear stability around an elliptic equilibrium point in a Hamiltonian system, Nonlinearity, 11 (1998), pp. 1465-1479.
    • (1998) Nonlinearity , vol.11 , pp. 1465-1479
    • Niederman, L.1
  • 17
    • 0345759533 scopus 로고    scopus 로고
    • On Nekhoroshev's estimate at an elliptic equilibrium
    • J. Pöschel, On Nekhoroshev's estimate at an elliptic equilibrium, Internat. Math. Res. Notices, 4 (1999), pp. 203-215.
    • (1999) Internat. Math. Res. Notices , vol.4 , pp. 203-215
    • Pöschel, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.