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Volumn 181, Issue , 1996, Pages 43-72

Discretization of a random dynamical system near a hyperbolic point

Author keywords

Hyperbolicity; Multiplicative ergodic theory; Numerical analysis for random differential equations; Random dynamical systems; Random invariant manifolds

Indexed keywords


EID: 0040521031     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.3211810103     Document Type: Article
Times cited : (10)

References (20)
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    • Arnold, L.1    Crauel, H.2
  • 4
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    • Arnold, L.1    Kloeden, P.2
  • 5
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    • Asymptotic analysis of the Lyapunov exponent and rotation number of the random oscillator and applications
    • ARNOLD, L., PAPANICOLAOU, G., and WIHSTUTZ, V.: Asymptotic Analysis of the Lyapunov Exponent and Rotation Number of the Random Oscillator and Applications. SIAM J. Appl. Math., 46 (1986), 427-450
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  • 7
    • 0023427317 scopus 로고
    • On the numerical approximation of phase portraits near stationary points
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    • Beyn, W.J.1
  • 8
    • 0007108344 scopus 로고
    • Center manifolds of dynamical systems under discretization
    • BEYN, W. - J., and LORENZ, J.: Center Manifolds of Dynamical Systems under Discretization. Numer. Funct. Anal, and Optimiz., 9 (1987), 381-414
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    • Beyn, W.-J.1    Lorenz, J.2
  • 9
    • 0011607426 scopus 로고
    • A Stochastic version of center manifold theory
    • BOXLER, P.: A Stochastic Version of Center Manifold Theory. Probab. Th. Rel. Fields, 83 (1989), 509-545
    • (1989) Probab. Th. Rel. Fields , vol.83 , pp. 509-545
    • Boxler, P.1
  • 12
    • 0000649975 scopus 로고
    • Stable attracting sets in dynamical systems and in their one - Step discretizations
    • KLOEDEN, P., and LORENZ, J.: Stable Attracting Sets in Dynamical Systems and in Their One - Step Discretizations. SIAM J. Numer. Anal., 23 (1986), 986-995
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    • Kloeden, P.1    Lorenz, J.2
  • 14
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    • to appear
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  • 17
    • 0026202362 scopus 로고
    • Approximation of upper Lyapunov exponents of bilinear stochastic differential equations
    • TALAY, D.: Approximation of Upper Lyapunov Exponents of Bilinear Stochastic Differential Equations. SIAM J. Numer. Anal., 28 (1991), 1141-1164
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    • Talay, D.1
  • 20
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    • Random perturbations of Matrix cocycles
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.