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Volumn 182, Issue 3-4, 2003, Pages 179-187

Detection of Arnold diffusion in Hamiltonian systems

Author keywords

Arnold diffusion; Hamiltonian systems; Nekhoroshev theorem

Indexed keywords

FOURIER TRANSFORMS; MATHEMATICAL MODELS; RESONANCE;

EID: 0042531996     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(03)00121-0     Document Type: Article
Times cited : (74)

References (12)
  • 1
    • 0002764805 scopus 로고
    • Proof of a theorem by A.N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian
    • Arnold V.I., Proof of a theorem by A.N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian. Russ. Math. Surv. 18:1963;9.
    • (1963) Russ. Math. Surv. , vol.18 , pp. 9
    • Arnold, V.I.1
  • 2
    • 0000877933 scopus 로고
    • Instability of dynamical systems with several degrees of freedom
    • Arnold V.I., Instability of dynamical systems with several degrees of freedom. Sov. Math. Dokl. 6:1964;581-585.
    • (1964) Sov. Math. Dokl. , vol.6 , pp. 581-585
    • Arnold, V.I.1
  • 3
    • 0035218080 scopus 로고    scopus 로고
    • Upper bounds on Arnold diffusion time via Mather theory
    • Bessi U., Chierchia L., Valdinoci E., Upper bounds on Arnold diffusion time via Mather theory. J. Math. Pures Appl. 80:2001;105-129.
    • (2001) J. Math. Pures Appl. , vol.80 , pp. 105-129
    • Bessi, U.1    Chierchia, L.2    Valdinoci, E.3
  • 4
    • 0008488784 scopus 로고    scopus 로고
    • On the structure of symplectic mappings. The fast Lyapunov indicator: A very sensitive tool
    • Froeschlé C., Lega E., On the structure of symplectic mappings. The fast Lyapunov indicator: a very sensitive tool. Celest. Mech. Dyn. Astron. 78:2000;167-195.
    • (2000) Celest. Mech. Dyn. Astron. , vol.78 , pp. 167-195
    • Froeschlé, C.1    Lega, E.2
  • 5
    • 0012097571 scopus 로고
    • An universal instability of many dimensional oscillator system
    • Chirikov B.V., An universal instability of many dimensional oscillator system. Phys. Rep. 52:1979;263-379.
    • (1979) Phys. Rep. , vol.52 , pp. 263-379
    • Chirikov, B.V.1
  • 6
    • 0034703327 scopus 로고    scopus 로고
    • Graphical evolution of the Arnold's web: From order to chaos
    • Froeschlé C., Guzzo M., Lega E., Graphical evolution of the Arnold's web: from order to chaos. Science. 289(5487):2000;2108-2110.
    • (2000) Science , vol.289 , Issue.5487 , pp. 2108-2110
    • Froeschlé, C.1    Guzzo, M.2    Lega, E.3
  • 7
    • 0036499211 scopus 로고    scopus 로고
    • On the numerical detection of the effective stability of chaotic motions in quasi-integrable systems
    • Guzzo M., Lega E., Froeschlé C., On the numerical detection of the effective stability of chaotic motions in quasi-integrable systems. Physica D. 163:2002;1-25.
    • (2002) Physica D , vol.163 , pp. 1-25
    • Guzzo, M.1    Lega, E.2    Froeschlé, C.3
  • 8
    • 0001246972 scopus 로고
    • On the conservation of conditionally periodic motions under small perturbation of the Hamiltonian
    • Kolmogorov A.N., On the conservation of conditionally periodic motions under small perturbation of the Hamiltonian. Dokl. Akad. Nauk. SSSR. 98:1954;524.
    • (1954) Dokl. Akad. Nauk. SSSR , vol.98 , pp. 524
    • Kolmogorov, A.N.1
  • 9
  • 10
  • 11
    • 0001713329 scopus 로고
    • On a connection between KAM and Nekhoroshev's theorems
    • Morbidelli A., Giorgilli A., On a connection between KAM and Nekhoroshev's theorems. Physica D. 86:1995;514-516.
    • (1995) Physica D , vol.86 , pp. 514-516
    • Morbidelli, A.1    Giorgilli, A.2
  • 12
    • 84908024292 scopus 로고
    • Exponential estimates of the stability time of near-integrable Hamiltonian systems
    • Nekhoroshev N.N., Exponential estimates of the stability time of near-integrable Hamiltonian systems. Russ. Math. Surv. 32:1977;1-65.
    • (1977) Russ. Math. Surv. , vol.32 , pp. 1-65
    • Nekhoroshev, N.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.