메뉴 건너뛰기




Volumn 10, Issue 4, 1997, Pages 783-822

On the normal behaviour of partially elliptic lower-dimensional tori of Hamiltonian systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0040507795     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/10/4/001     Document Type: Article
Times cited : (95)

References (21)
  • 1
    • 0002764805 scopus 로고
    • Proof of a theorem of A. N. Kolmogorov on the persistence of quasi-periodic motions under small perturbations of the Hamiltonian
    • Arnol'd V I 1963 Proof of a theorem of A. N. Kolmogorov on the persistence of quasi-periodic motions under small perturbations of the Hamiltonian Russ. Math. Surv. 18 9-36
    • (1963) Russ. Math. Surv. , vol.18 , pp. 9-36
    • Arnol'd, V.I.1
  • 2
    • 0000877933 scopus 로고
    • Instability of dynamical systems with several degrees of freedom
    • Arnol'd V I 1964 Instability of dynamical systems with several degrees of freedom Sov. Math. Dokl. 5 581-5
    • (1964) Sov. Math. Dokl. , vol.5 , pp. 581-585
    • Arnol'd, V.I.1
  • 6
    • 0030187305 scopus 로고    scopus 로고
    • Effective stability and KAM theory
    • Delshams A and Gutiérrez P 1996 Effective stability and KAM theory J. Diff. Eqns 128 415-90
    • (1996) J. Diff. Eqns , vol.128 , pp. 415-490
    • Delshams, A.1    Gutiérrez, P.2
  • 7
    • 0030295225 scopus 로고    scopus 로고
    • Estimates on invariant tori near an elliptic equilibrium point of a Hamiltonian system
    • Delshams A and Gutiérrez P 1996 Estimates on invariant tori near an elliptic equilibrium point of a Hamiltonian system J. Diff. Eqns 131 277-303
    • (1996) J. Diff. Eqns , vol.131 , pp. 277-303
    • Delshams, A.1    Gutiérrez, P.2
  • 8
    • 0000412297 scopus 로고
    • Perturbations of stable invariant tori for Hamiltonian systems
    • Eliasson L H 1988 Perturbations of stable invariant tori for Hamiltonian systems Ann. Sc. Norm. Super. Pisa, Cl. Sci. 15 115-47
    • (1988) Ann. Sc. Norm. Super. Pisa, Cl. Sci. , vol.15 , pp. 115-147
    • Eliasson, L.H.1
  • 10
    • 0040831296 scopus 로고    scopus 로고
    • Effective reducibility of quasi-periodic linear equations close to constant coefficients
    • Jorba À, Ramìrez-Ros R and Villanueva J 1997 Effective reducibility of quasi-periodic linear equations close to constant coefficients SIAM J. Math. Anal. 28 178-88
    • (1997) SIAM J. Math. Anal. , vol.28 , pp. 178-188
    • Jorba, À.1    Ramìrez-Ros, R.2    Villanueva, J.3
  • 11
    • 0030520995 scopus 로고    scopus 로고
    • On quasi-periodic perturbations of elliptic equilibrium points
    • Jorba À and Simó C 1996 On quasi-periodic perturbations of elliptic equilibrium points SIAM J. Math. Anal. 27 1704-37
    • (1996) SIAM J. Math. Anal. , vol.27 , pp. 1704-1737
    • Jorba, À.1    Simó, C.2
  • 12
    • 0000500437 scopus 로고    scopus 로고
    • On the persistence of lower dimensional invariant tori under quasi-periodic perturbations
    • to appear
    • Jorba À and Villanueva J 1997 On the persistence of lower dimensional invariant tori under quasi-periodic perturbations J. Nonlinear Sci. to appear
    • (1997) J. Nonlinear Sci.
    • Jorba, À.1    Villanueva, J.2
  • 14
    • 0040157758 scopus 로고
    • Invariant cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation
    • Kuksin S and Pöschel J 1995 Invariant cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation Ann. Math. 142 149-79
    • (1995) Ann. Math. , vol.142 , pp. 149-179
    • Kuksin, S.1    Pöschel, J.2
  • 15
    • 0000968410 scopus 로고
    • A family of conditionally periodic solutions of a Hamiltonian system
    • Melnikov V K 1968 A family of conditionally periodic solutions of a Hamiltonian system Sov. Math. Dokl. 9 882-5
    • (1968) Sov. Math. Dokl. , vol.9 , pp. 882-885
    • Melnikov, V.K.1
  • 16
    • 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
  • 17
    • 0000677073 scopus 로고
    • KAM tori are very sticky: Rigorous lower bounds on the time to move away from an invariant Lagrangian torus with linear flow
    • Perry A D and Wiggins S 1994 KAM tori are very sticky: Rigorous lower bounds on the time to move away from an invariant Lagrangian torus with linear flow Physica D 71 102-21
    • (1994) Physica D , vol.71 , pp. 102-121
    • Perry, A.D.1    Wiggins, S.2
  • 18
    • 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
  • 21
    • 0003369366 scopus 로고
    • Memorias de la Real Academia de Ciencias y Artes de Barcelona
    • Simó C 1989 Estabilitat de Sistemes Hamiltonians vol 48 (Memorias de la Real Academia de Ciencias y Artes de Barcelona) pp 303-48
    • (1989) Estabilitat de Sistemes Hamiltonians , vol.48 , pp. 303-348
    • Simó, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.