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Volumn 4, Issue , 1998, Pages 1-16

On the stability of elliptic equilibria

Author keywords

Elliptic equilibria; Hamiltonian systems; Nekhoroshev theorem

Indexed keywords


EID: 0002457928     PISSN: 10866655     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (24)

References (16)
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    • 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. Usp. Mat. Nauk 32:6, 5-66 (1977) [Russ. Math. Surv. 32:6, 1-65 (1977)].
    • (1977) Usp. Mat. Nauk , vol.32 , Issue.6 , pp. 5-66
    • Nekhoroshev, N.N.1
  • 3
    • 0039173727 scopus 로고
    • N.N. Nekhoroshev, An exponential estimate of the time of stability of nearly integrable Hamiltonian systems. Usp. Mat. Nauk 32:6, 5-66 (1977) [Russ. Math. Surv. 32:6, 1-65 (1977)].
    • (1977) Russ. Math. Surv. , vol.32 , Issue.6 , pp. 1-65
  • 5
    • 0001230249 scopus 로고
    • Bifurcation of liquid drops
    • D. Lewis, Bifurcation of liquid drops. Nonlinearity 6, 491-522 (1993).
    • (1993) Nonlinearity , vol.6 , pp. 491-522
    • Lewis, D.1
  • 8
    • 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. Henri Poincaré - Physique Thèorique 48, 423-439 (1988)
    • (1988) Ann. Inst. Henri Poincaré - Physique Thèorique , vol.48 , pp. 423-439
    • Giorgilli, A.1
  • 9
    • 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, 167-198 (1989).
    • (1989) J. Diff. Eq. , vol.77 , pp. 167-198
    • Giorgilli, A.1    Delshams, A.2    Fontich, E.3    Galgani, L.4    Simó, C.5
  • 11
    • 82255190560 scopus 로고
    • Canonical perturbation theory via simultaneous approximation
    • P. Lochak, Canonical perturbation theory via simultaneous approximation. Russ. Math. Surv. 47, 57-133 (1992)
    • (1992) Russ. Math. Surv. , vol.47 , pp. 57-133
    • Lochak, P.1
  • 12
    • 0013251091 scopus 로고
    • Stability of Hamiltonian systems over exponentially long times: The near linear case
    • H. Dumas, K. Meyer, D. Schmidt (eds), Hamiltonian Dynamical Systems - History, Theory, and Applications, Springer, New York
    • P. Lochak, Stability of Hamiltonian systems over exponentially long times: the near linear case. In H. Dumas, K. Meyer, D. Schmidt (eds), Hamiltonian Dynamical Systems - History, Theory, and Applications, The IMA Volumes in Mathematics and its Applications 63, 221-229 (Springer, New York, 1995).
    • (1995) The IMA Volumes in Mathematics and Its Applications , vol.63 , pp. 221-229
    • Lochak, P.1
  • 13
    • 0000644189 scopus 로고    scopus 로고
    • Fast rotations of the rigid body: A study by Hamiltonian perturbation theory. Part II: Gyroscopic rotations
    • To appear
    • G. Benettin, F. Fassò and M. Guzzo, Fast rotations of the rigid body: A study by Hamiltonian perturbation theory. Part II: Gyroscopic rotations. To appear in Nonlinearity
    • Nonlinearity
    • Benettin, G.1    Fassò, F.2    Guzzo, M.3
  • 14
    • 0001182022 scopus 로고
    • Lie series method for vector fields and Hamiltonian perturbation theory
    • F. Fassò, Lie series method for vector fields and Hamiltonian perturbation theory. J. Appl. Math. Phys. (ZAMP) 41, 843-864 (1990).
    • (1990) J. Appl. Math. Phys. (ZAMP) , vol.41 , pp. 843-864
    • Fassò, F.1
  • 15
    • 0001193375 scopus 로고
    • Nekhoroshev estimates for quasi-convex Hamiltonian Systems
    • J. Pöschel, Nekhoroshev estimates for quasi-convex Hamiltonian Systems, Math. Z. 213, 187-216 (1993).
    • (1993) Math. Z. , vol.213 , pp. 187-216
    • Pöschel, J.1
  • 16
    • 0039117989 scopus 로고    scopus 로고
    • Fast rotations of the rigid body: A study by Hamiltonian perturbation theory. Part I
    • G. Benettin and F. Fassò, Fast rotations of the rigid body: A study by Hamiltonian perturbation theory. Part I. Nonlinearity 9, 137-186 (1996).
    • (1996) Nonlinearity , vol.9 , pp. 137-186
    • Benettin, G.1    Fassò, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.