메뉴 건너뛰기




Volumn 24, Issue 2, 2004, Pages 593-608

Erratum: Exponential stability for small perturbations of steep integrable Hamiltonian systems (Ergodic Theory and Dynamical Systems (2004) DOI: 10.1017/S014338570300049X);Exponential stability for small perturbations of steep integrable Hamiltonian systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 2442622471     PISSN: 01433857     EISSN: 14694417     Source Type: Journal    
DOI: 10.1017/etds.2013.113     Document Type: Erratum
Times cited : (28)

References (20)
  • 1
    • 54649083612 scopus 로고    scopus 로고
    • Nekhorochev stability of L4 and L5 in the spatial restricted three body problem
    • G. Benettin, F. Fasso and M. Guzzo. Nekhorochev stability of L4 and L5 in the spatial restricted three body problem. Regul. Chaotic Dyn. 3(3) (1998), 56-72.
    • (1998) Regul. Chaotic Dyn. , vol.3 , Issue.3 , pp. 56-72
    • Benettin, G.1    Fasso, 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), 293-338.
    • (1986) J. Stat. Phys. , vol.44 , pp. 293-338
    • Benettin, G.1    Gallavotti, G.2
  • 3
    • 0003296676 scopus 로고
    • A proof of Nekhorochev's theorem for the stability times in nearly-integrable Hamiltonian systems
    • G. Benettin, L. Galgani and A. Giorgilli. A proof of Nekhorochev's theorem for the stability times in nearly-integrable Hamiltonian systems. Celestial Mech. 37 (1985), 1-25.
    • (1985) Celestial Mech. , vol.37 , pp. 1-25
    • Benettin, G.1    Galgani, L.2    Giorgilli, A.3
  • 4
    • 0032187844 scopus 로고    scopus 로고
    • Nekhorochev-stability of elliptic equilibria of Hamiltonian systems
    • F. Fasso, M. Guzzo and G. Benettin. Nekhorochev-stability of elliptic equilibria of Hamiltonian systems. Comm. Math. Phys. 197(2) (1998), 347-360.
    • (1998) Comm. Math. Phys. , vol.197 , Issue.2 , pp. 347-360
    • Fasso, F.1    Guzzo, M.2    Benettin, G.3
  • 5
    • 0039267836 scopus 로고
    • Exponential stability for time dependent potential
    • A. Giorgilli and E. Zehnder. Exponential stability for time dependent potential. Z. Angew. Math. Phys. 43 (1992), 827-855.
    • (1992) Z. Angew. Math. Phys. , vol.43 , pp. 827-855
    • Giorgilli, A.1    Zehnder, E.2
  • 6
    • 0000885512 scopus 로고    scopus 로고
    • Construction of a Nekhorochev like result for the asteroid belt dynamical system
    • M. Guzzo and A. Morbidelli. Construction of a Nekhorochev like result for the asteroid belt dynamical system. Celestial Mech. 66 (1997), 255-292.
    • (1997) Celestial Mech. , vol.66 , pp. 255-292
    • Guzzo, M.1    Morbidelli, A.2
  • 8
    • 84956079157 scopus 로고
    • A steepness test for analytic functions
    • I.S. Ilyashenko. A steepness test for analytic functions. Russian Math. Surveys 41 (1986), 229-230.
    • (1986) Russian Math. Surveys , vol.41 , pp. 229-230
    • Ilyashenko, I.S.1
  • 9
    • 82255190560 scopus 로고
    • Canonical perturbation theory via simultaneous approximation
    • P. Lochak. Canonical perturbation theory via simultaneous approximation. Russian Math. Surveys 47 (1992), 57-133.
    • (1992) Russian Math. Surveys , vol.47 , pp. 57-133
    • Lochak, P.1
  • 10
    • 85088179441 scopus 로고    scopus 로고
    • On the splitting of the invariant manifolds in multidimensional near-integrable Hamiltonian systems
    • P. Lochak, J.-P. Marco and D. Sauzin. On the splitting of the invariant manifolds in multidimensional near-integrable Hamiltonian systems. Mem. Am. Math. Soc. 775 (2003).
    • (2003) Mem. Am. Math. Soc. , vol.775
    • Lochak, P.1    Marco, J.-P.2    Sauzin, D.3
  • 11
    • 0001514616 scopus 로고
    • Estimates of stability time for nearly integrable systems with a quasiconvex Hamiltonian
    • P. Lochak and A. I. Neishtadt. Estimates of stability time for nearly integrable systems with a quasiconvex Hamiltonian. Chaos 2 (1992), 495-499.
    • (1992) Chaos , vol.2 , pp. 495-499
    • Lochak, P.1    Neishtadt, A.I.2
  • 12
    • 4744369139 scopus 로고    scopus 로고
    • Stability and instability for Gevrey quasi-convex near-integrable Hamiltonian systems
    • J.-P. Marco and D. Sauzin. Stability and instability for Gevrey quasi-convex near-integrable Hamiltonian systems. Publ. Math. Inst. Hautes Etud. Sci. 96 (2002), 199-275.
    • (2002) Publ. Math. Inst. Hautes Etud. Sci. , vol.96 , pp. 199-275
    • Marco, J.-P.1    Sauzin, D.2
  • 13
    • 2442529757 scopus 로고
    • Stable lower estimates for smooth mappings and for gradients of smooth functions
    • N. N. Nekhorochev. Stable lower estimates for smooth mappings and for gradients of smooth functions. Math. USSR Sbornik 19(3) (1973), 425-467.
    • (1973) Math. USSR Sbornik , vol.19 , Issue.3 , pp. 425-467
    • Nekhorochev, N.N.1
  • 14
    • 84908024292 scopus 로고
    • An exponential estimate of the time of stability of nearly integrable Hamiltonian systems
    • N. N. Nekhorochev. An exponential estimate of the time of stability of nearly integrable Hamiltonian systems. Russian Math. Surveys 32 (1977), 1-65.
    • (1977) Russian Math. Surveys , vol.32 , pp. 1-65
    • Nekhorochev, N.N.1
  • 15
    • 0002306395 scopus 로고
    • An exponential estimate of the time of stability of nearly integrable Hamiltonian systems 2
    • N. N. Nekhorochev. An exponential estimate of the time of stability of nearly integrable Hamiltonian systems 2. Trudy Sem. Petrovs 5 (1979), 5-50. Translated in Topics in Modern Mathematics (Petrovskii Semin., 5). Ed. O. A. Oleinik. Consultant Bureau, New York, 1985.
    • (1979) Trudy Sem. Petrovs , vol.5 , pp. 5-50
    • Nekhorochev, N.N.1
  • 16
    • 0038633232 scopus 로고
    • Translated. Ed. O. A. Oleinik. Consultant Bureau, New York
    • N. N. Nekhorochev. An exponential estimate of the time of stability of nearly integrable Hamiltonian systems 2. Trudy Sem. Petrovs 5 (1979), 5-50. Translated in Topics in Modern Mathematics (Petrovskii Semin., 5). Ed. O. A. Oleinik. Consultant Bureau, New York, 1985.
    • (1985) Topics in Modern Mathematics (Petrovskii Semin., 5)
  • 17
    • 0346706013 scopus 로고    scopus 로고
    • Nonlinear stability around an elliptic equilibrium point in an Hamiltonian system
    • L. Niederman. Nonlinear stability around an elliptic equilibrium point in an Hamiltonian system. Nonlinearity 11 (1998), 1465-1479.
    • (1998) Nonlinearity , vol.11 , pp. 1465-1479
    • Niederman, L.1
  • 18
    • 0001193375 scopus 로고
    • Nekhorochev estimates for quasi-convex Hamiltonian systems
    • J. Poschel. Nekhorochev estimates for quasi-convex Hamiltonian systems. Math. Z. 213 (1993), 187-217.
    • (1993) Math. Z. , vol.213 , pp. 187-217
    • Poschel, J.1
  • 19
    • 0345759533 scopus 로고    scopus 로고
    • On Nekhoroshev's estimate at an elliptic equilibrium
    • J. Poschel. On Nekhoroshev's estimate at an elliptic equilibrium. Int. Math. Res. Not. 4 (1999), 203-215.
    • (1999) Int. Math. Res. Not. , vol.4 , pp. 203-215
    • Poschel, J.1
  • 20
    • 0003351893 scopus 로고
    • Approximation to algebraic numbers
    • W. M. Schmidt. Approximation to algebraic numbers. Enseign. Math., II. Sr. 17 (1971), 187-253.
    • (1971) Enseign. Math., II. Sr. , vol.17 , pp. 187-253
    • Schmidt, W.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.