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Volumn 94, Issue 2, 2001, Pages 199-239

On random perturbations of Hamiltonian systems with many degrees of freedom

Author keywords

34C29; 35B20; 60H10; Averaging principle; Hamiltonian systems; Random perturbations

Indexed keywords


EID: 0042909264     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(01)00083-7     Document Type: Article
Times cited : (24)

References (13)
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    • Singularitäten (German)
    • ETH Zürich, Birkhäuser Verlag, Basel
    • Bättig, D., Knörrer, H., 1991. Singularitäten (German), Lectures in Mathematics, ETH Zürich, Birkhäuser Verlag, Basel.
    • (1991) Lectures in Mathematics
    • Bättig, D.1    Knörrer, H.2
  • 3
    • 84966207705 scopus 로고
    • Diffusion processes in one dimension
    • Feller W. Diffusion processes in one dimension. Trans. Am. Math. Soc. 77:1954;1-31.
    • (1954) Trans. Am. Math. Soc. , vol.77 , pp. 1-31
    • Feller, W.1
  • 5
    • 0032362579 scopus 로고    scopus 로고
    • Random perturbations of nonlinear oscillators
    • Freidlin M.I., Weber M. Random perturbations of nonlinear oscillators. Ann. Probab. 26(3):1998;1-43.
    • (1998) Ann. Probab. , vol.26 , Issue.3 , pp. 1-43
    • Freidlin, M.I.1    Weber, M.2
  • 6
    • 0033249370 scopus 로고    scopus 로고
    • A remark on random perturbations of nonlinear pendulum
    • Freidlin M.I., Weber M. A remark on random perturbations of nonlinear pendulum. Ann. Appl. Probab. 9(3):1999;611-628.
    • (1999) Ann. Appl. Probab. , vol.9 , Issue.3 , pp. 611-628
    • Freidlin, M.I.1    Weber, M.2
  • 7
    • 0000828252 scopus 로고
    • Diffusion processes on graphs and the averaging principle
    • Freidlin M.I., Wentzell A.D. Diffusion processes on graphs and the averaging principle. Ann. Probab. 21(4):1993;2215-2245.
    • (1993) Ann. Probab. , vol.21 , Issue.4 , pp. 2215-2245
    • Freidlin, M.I.1    Wentzell, A.D.2
  • 8
    • 0003254803 scopus 로고
    • Random Perturbations of Hamiltonian Systems
    • Freidlin, M.I., Wentzell, A.D., 1994. Random Perturbations of Hamiltonian Systems. Memoirs of the AMS 109 (523).
    • (1994) Memoirs of the AMS , vol.109 , Issue.523
    • Freidlin, M.I.1    Wentzell, A.D.2
  • 11
    • 0000073325 scopus 로고
    • Egodic properties of recurrent diffusion processes and stabilisation of the solution of the Cauchy problem for parabolic equations (Russian)
    • Khas'minskii, R.Z., 1960. Egodic properties of recurrent diffusion processes and stabilisation of the solution of the Cauchy problem for parabolic equations (Russian), Teor. veriatnost. i primen. 5 (1960) 179-196.
    • (1960) Teor. Veriatnost. I Primen. , vol.5 , Issue.1960 , pp. 179-196
    • Khas'Minskii, R.Z.1
  • 12
    • 0000182826 scopus 로고
    • Averaging principle for stochastic differential Ito equations (Russian).
    • Khas'minskii R.Z. Averaging principle for stochastic differential Ito equations (Russian). Kybernetica. 4(3):1968;260-279.
    • (1968) Kybernetica , vol.4 , Issue.3 , pp. 260-279
    • Khas'Minskii, R.Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.