메뉴 건너뛰기




Volumn 11, Issue 6, 1998, Pages 1465-1479

Nonlinear stability around an elliptic equilibrium point in a Hamiltonian system

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0346706013     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/11/6/002     Document Type: Article
Times cited : (41)

References (17)
  • 1
    • 0346203250 scopus 로고    scopus 로고
    • Nekhorochev theorem for small amplitude solutions in nonlinear Schrödinger equations
    • to appear
    • Bambusi D 1997 Nekhorochev theorem for small amplitude solutions in nonlinear Schrödinger equations Math. Z. to appear
    • (1997) Math. Z.
    • Bambusi, D.1
  • 2
    • 21144474450 scopus 로고
    • Exponential stability of states close to resonance in infinite dimensional Hamiltonian systems
    • Bambusi D and Giorgilli A 1993 Exponential stability of states close to resonance in infinite dimensional Hamiltonian systems J. Stat. Phys. 71 569-606
    • (1993) J. Stat. Phys. , vol.71 , pp. 569-606
    • Bambusi, D.1    Giorgilli, A.2
  • 3
    • 0000644189 scopus 로고    scopus 로고
    • Fast rotations of the rigid body: A study by Hamiltonian perturbation theory. Part II: gyroscopic rotations
    • Benettin G, Fasso F and Guzzo M 1997 Fast rotations of the rigid body: a study by Hamiltonian perturbation theory. Part II: gyroscopic rotations Nonlinearity 10 1695-717
    • (1997) Nonlinearity , vol.10 , pp. 1695-1717
    • Benettin, G.1    Fasso, F.2    Guzzo, M.3
  • 5
    • 0032187844 scopus 로고    scopus 로고
    • Nekhorochev-stability of elliptic equilibria of Hamiltonian systems
    • to appear
    • Fasso F, Guzzo M and Benettin G 1997 Nekhorochev-stability of elliptic equilibria of Hamiltonian systems Commun. Math. Phys. to appear
    • (1997) Commun. Math. Phys.
    • Fasso, F.1    Guzzo, M.2    Benettin, G.3
  • 6
    • 0000163515 scopus 로고
    • Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three bodies problem
    • Giorgilli A, Delshams A, Fontich E, Galgani L and Simó C 1989 Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three bodies problem J. Diff. Equ. 77 167-98
    • (1989) J. Diff. Equ. , vol.77 , pp. 167-198
    • Giorgilli, A.1    Delshams, A.2    Fontich, E.3    Galgani, L.4    Simó, C.5
  • 7
    • 0039267836 scopus 로고
    • Exponential stability for time dependant potential
    • Giorgilli A and Zehnder E 1992 Exponential stability for time dependant potential ZAMP 43 827-55
    • (1992) ZAMP , vol.43 , pp. 827-855
    • Giorgilli, A.1    Zehnder, E.2
  • 8
    • 0000885512 scopus 로고    scopus 로고
    • Construction of a Nekhorochev like result for the asteroid belt dynamical system
    • Guzzo M and Morbidelli A 1997 Construction of a Nekhorochev like result for the asteroid belt dynamical system Celest. Mech. 66 255-92
    • (1997) Celest. Mech. , vol.66 , pp. 255-292
    • Guzzo, M.1    Morbidelli, A.2
  • 9
    • 0040507795 scopus 로고    scopus 로고
    • On the normal behaviour of partially elliptic lower-dimensional invariant tori of Hamiltonian systems
    • Jorba A and Villanueva J 1997 On the normal behaviour of partially elliptic lower-dimensional invariant tori of Hamiltonian systems Nonlinearity 10 783-822
    • (1997) Nonlinearity , vol.10 , pp. 783-822
    • Jorba, A.1    Villanueva, J.2
  • 10
    • 82255190560 scopus 로고
    • Canonical perturbation theory via simultaneous approximation
    • Lochak P 1992 Canonical perturbation theory via simultaneous approximation Russ. Math. Surv. 47 57-133
    • (1992) Russ. Math. Surv. , vol.47 , pp. 57-133
    • Lochak, P.1
  • 13
    • 34249759431 scopus 로고
    • Superexponential stability of KAM tori
    • Morbidelli A and Giorgilli A 1995 Superexponential stability of KAM tori J. Stat. Phys. 78 1607-17
    • (1995) J. Stat. Phys. , vol.78 , pp. 1607-1617
    • Morbidelli, A.1    Giorgilli, A.2
  • 14
    • 84908024292 scopus 로고
    • An exponential estimate of the time of stability of nearly integrable Hamiltonian systems
    • Nekhorochev N N 1977 An exponential estimate of the time of stability of nearly integrable Hamiltonian systems Russ. Math. Surv. 32 1-65
    • (1977) Russ. Math. Surv. , vol.32 , pp. 1-65
    • Nekhorochev, N.N.1
  • 15
    • 0013207330 scopus 로고    scopus 로고
    • Stability over exponentially long times in the planetary problem
    • Niederman L 1996 Stability over exponentially long times in the planetary problem Nonlinearity 9 1703-51
    • (1996) Nonlinearity , vol.9 , pp. 1703-1751
    • Niederman, L.1
  • 16
    • 0000882204 scopus 로고
    • On elliptic lower dimensional tori in Hamiltonian systems
    • Pöschel J 1989 On elliptic lower dimensional tori in Hamiltonian systems Math. Z. 202 559-608
    • (1989) Math. Z. , vol.202 , pp. 559-608
    • Pöschel, J.1
  • 17
    • 0001193375 scopus 로고
    • Nekhorochev estimates for quasi-convex Hamiltonian systems
    • Pöschel J 1993 Nekhorochev estimates for quasi-convex Hamiltonian systems Math. Z 213 187-217
    • (1993) Math. Z , vol.213 , pp. 187-217
    • Pöschel, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.