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Volumn 48, Issue 6, 1997, Pages 951-975

The random attractor of the stochastic Lorenz system

Author keywords

Attractors; Hausdorff dimension; Lorenz system; Stochastic differential equations

Indexed keywords


EID: 0031530247     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (82)

References (22)
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    • (1991) Lecture Notes in Mathematics , vol.1486 , pp. 1-22
    • Arnold, L.1    Crauel, H.2
  • 4
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    • Fixed points and attractors for random dynamical systems
    • A. Naess and S. Krenk, eds., Kluwer Academic Publisher, Dordrecht, Boston, New York
    • L. Arnold and B. Schmalfuß, Fixed points and attractors for random dynamical systems. In IUTAM Symposium on Advances in Nonlinear Stochastic Mechanics, A. Naess and S. Krenk, eds., Kluwer Academic Publisher, Dordrecht, Boston, New York 1996, pages 19-28.
    • (1996) IUTAM Symposium on Advances in Nonlinear Stochastic Mechanics , pp. 19-28
    • Arnold, L.1    Schmalfuß, B.2
  • 6
    • 84957122398 scopus 로고
    • Attractors of partial differential equations and estimates of their dimension
    • A. B. Babin and M. I. Vishik, Attractors of partial differential equations and estimates of their dimension, Russian Math. Surveys 38(4) (1983), 151-213.
    • (1983) Russian Math. Surveys , vol.38 , Issue.4 , pp. 151-213
    • Babin, A.B.1    Vishik, M.I.2
  • 7
    • 21144469567 scopus 로고
    • Pathwise global attractors for stationary random dynamical systems
    • Z. Brzeźniak, M. Capiński and F. Flandoli, Pathwise global attractors for stationary random dynamical systems, Probab. Theory Relat. Fields, 95 (1993), 87-102.
    • (1993) Probab. Theory Relat. Fields , vol.95 , pp. 87-102
    • Brzeźniak, Z.1    Capiński, M.2    Flandoli, F.3
  • 9
    • 0002652635 scopus 로고
    • Attractors representing turbulent flows
    • P. Constantin, C. Foias and R. Temam, Attractors representing turbulent flows, Memoirs of AMS, 53(1985), 314.
    • (1985) Memoirs of AMS , vol.53 , pp. 314
    • Constantin, P.1    Foias, C.2    Temam, R.3
  • 10
    • 0039749762 scopus 로고
    • Attractors for random dynamical systems
    • Scuola Normale Superiore-Pisa
    • H. Crauel and F. Flandoli, Attractors for random dynamical systems. Technical Report 148, Scuola Normale Superiore-Pisa 1992.
    • (1992) Technical Report , vol.148
    • Crauel, H.1    Flandoli, F.2
  • 11
    • 21844482698 scopus 로고
    • Attractors for random dynamical systems
    • H. Crauel and F. Flandoli, Attractors for random dynamical systems. Prob. Theory Related Fields, 100 (1931), 365-393
    • (1931) Prob. Theory Related Fields , vol.100 , pp. 365-393
    • Crauel, H.1    Flandoli, F.2
  • 17
    • 0040935850 scopus 로고    scopus 로고
    • Attractors and bifurcations of the stochastic Lorenz system
    • Institut, für Dynamische Systeme, Universität Bremen
    • H. Keller, Attractors and bifurcations of the stochastic Lorenz system, Technical Report 389, Institut, für Dynamische Systeme, Universität Bremen, 1996.
    • (1996) Technical Report , vol.389
    • Keller, H.1
  • 18
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flows
    • E. N. Lorenz, Deterministic nonperiodic flows. J. Atmos. Sci., 12(20) (1963), 139-163.
    • (1963) J. Atmos. Sci. , vol.12 , Issue.20 , pp. 139-163
    • Lorenz, E.N.1
  • 20
    • 0003908257 scopus 로고
    • Measure attractors and stochastic attractors
    • Universität Bremen, Institut für Dynamische Systeme, to appear
    • B. Schmalfuß, Measure attractors and stochastic attractors, Technical Report 332, Universität Bremen, Institut für Dynamische Systeme, 1995, to appear.
    • (1995) Technical Report , vol.332
    • Schmalfuß, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.