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Volumn 13, Issue 2, 2002, Pages 77-84

Optimal stability and instability results for a class of nearly integrable Hamiltonian systems

Author keywords

Arnold diffusion; Nonlinear functional analysis; Perturbation theory; Shadowing theorem; Variational methods

Indexed keywords


EID: 84887260544     PISSN: 11206330     EISSN: 17200768     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (6)

References (16)
  • 2
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    • (1964) Sov. Math. Dokl. , vol.6 , pp. 581-585
    • Arnold, V.I.1
  • 5
    • 0036014248 scopus 로고    scopus 로고
    • Fast arnold's diffusion in systems with three time scales
    • series A july
    • M. BERTI - P. BOLLE, Fast Arnold's diffusion in systems with three time scales. Discrete and Continuous Dynamical Systems, series A, v. 8, n. 3, july 2002, 795-811.
    • (2002) Discrete and Continuous Dynamical Systems , vol.8 , Issue.3 , pp. 795-811
    • Berti, M.1    Bolle, P.2
  • 6
    • 84887437592 scopus 로고    scopus 로고
    • Drift in phase space: A new variational mechanism with optimal diffusion time
    • preprint
    • M. BERTI - L. BIASCO - P. BOLLE, Drift in phase space: a new variational mechanism with optimal diffusion time. SISSA 2002, preprint.
    • SISSA 2002
    • Berti, M.1    Biasco, L.2    Bolle, P.3
  • 7
    • 0001630771 scopus 로고    scopus 로고
    • An approach to Arnold's diffusion through the calculus of variations
    • DOI 10.1016/0362-546X(94)00270-R
    • U. BESSI, An approach to Arnold diffusion through the calculus of variations. Nonlinear Analysis T. M. A., 26, 1996, 1115-1135. (Pubitemid 126402785)
    • (1996) Nonlinear Analysis, Theory, Methods and Applications , vol.26 , Issue.6 , pp. 1115-1135
    • Bessi, U.1
  • 10
    • 0032326766 scopus 로고    scopus 로고
    • On the distribution of free path lengths for periodic lorentz gas
    • J. BOURGAIN - F. GOLSE - B. WENNBERG, On the distribution of free path lengths for periodic Lorentz gas. Comm. Math. Phys., v. 190, 1998, 491-508.
    • (1998) Comm. Math. Phys. , vol.190 , pp. 491-508
    • Bourgain, J.1    Golse, F.2    Wennberg, B.3
  • 12
    • 0035617288 scopus 로고    scopus 로고
    • The transfer lemma for graff tori and arnold diffusion time
    • J. CRESSON, The transfer lemma for Graff tori and Arnold diffusion time. Discrete and Continuous Dynamical Systems, v. 7, n. 4, 2001, 787-800.
    • (2001) Discrete and Continuous Dynamical Systems , vol.7 , Issue.4 , pp. 787-800
    • Cresson, J.1
  • 14
    • 0001449034 scopus 로고
    • Transitions le long des chaînes de tores invariants pour les systèmes hamiltoniens analytiques
    • J.P. MARCO, Transitions le long des chaînes de tores invariants pour les systèmes hamiltoniens analytiques. Ann. Inst. Henri Poincaré, v. 64, 1995, 205-252.
    • (1995) Ann. Inst. Henri Poincaré , vol.64 , pp. 205-252
    • Marco, J.P.1
  • 15
    • 84908024292 scopus 로고    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. Russian Mathematical Survey, 32, 1977.
    • Russian Mathematical Survey , vol.32 , pp. 1977
    • Nekhoroshev, N.N.1
  • 16
    • 0001193375 scopus 로고
    • Nekhoroshev estimates for quasi-convex hamiltonian systems
    • J. PÖSCHEL, Nekhoroshev estimates for quasi-convex Hamiltonian Systems. Math. Zeitschrift, 213, 1993, 187-216.
    • (1993) Math. Zeitschrift , vol.213 , pp. 187-216
    • Pöschel, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.