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Volumn 95, Issue 2, 2001, Pages 219-233

Lyapunov exponents of nilpotent Itô systems with random coefficients

Author keywords

37H15; 60H10; 60J60; Exponential ergodicity; Lyapunov exponent; Nilpotent system; Stochastic averaging; Stochastic differential equation

Indexed keywords


EID: 0005408783     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(01)00091-6     Document Type: Article
Times cited : (10)

References (10)
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    • (1987) Stochastics , vol.21 , pp. 41-61
    • Arnold, L.1    Kliemann, W.2
  • 2
    • 0001881373 scopus 로고
    • Almost sure and moment stability for linear Itô equations
    • L. Arnold, & V. Wihstutz. Berlin, Heidelberg, New York: Springer
    • Arnold L., Oeljeklaus E., Pardoux E. Almost sure and moment stability for linear Itô equations. Arnold L., Wihstutz V. Lyapunov Exponents. Lecture Notes Math. vol. 1186:1986;129-159 Springer, Berlin, Heidelberg, New York.
    • (1986) Lyapunov Exponents. Lecture Notes Math. , vol.1186 , pp. 129-159
    • Arnold, L.1    Oeljeklaus, E.2    Pardoux, E.3
  • 3
    • 0022737468 scopus 로고
    • Asymptotic analysis of the Lyapunov exponent and rotation number of the random oscillator and applications
    • Arnold L., Papanicolaou G., 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.
    • (1986) SIAM J. Appl. Math. , vol.46 , pp. 427-450
    • Arnold, L.1    Papanicolaou, G.2    Wihstutz, V.3
  • 4
    • 0025056345 scopus 로고
    • Lyapunov exponent and rotation number of a two-dimensional nilpotent stochastic system
    • Ariaratnam S.T., Xie W.C. Lyapunov exponent and rotation number of a two-dimensional nilpotent stochastic system. Dynamics and Stability of Systems. 5:1990;1-9.
    • (1990) Dynamics and Stability of Systems , vol.5 , pp. 1-9
    • Ariaratnam, S.T.1    Xie, W.C.2
  • 6
    • 0000684659 scopus 로고
    • Stability of Markovian processes II: Continuous time processes and sample chains
    • Meyn S., Tweedie R. Stability of Markovian processes II: continuous time processes and sample chains. Adv. Appl. Probab. 25:1993;487-517.
    • (1993) Adv. Appl. Probab. , vol.25 , pp. 487-517
    • Meyn, S.1    Tweedie, R.2
  • 7
    • 0001340188 scopus 로고
    • Stability of Markovian processes III: Foster-Lyapunov criteria for continuous time processes
    • Meyn S., Tweedie R. Stability of Markovian processes III: Foster-Lyapunov criteria for continuous time processes. Adv. Appl. Probab. 25:1993;518-548.
    • (1993) Adv. Appl. Probab. , vol.25 , pp. 518-548
    • Meyn, S.1    Tweedie, R.2
  • 9
    • 0002011386 scopus 로고
    • Lyapunov exponents of nilpotent Itô systems
    • Pinsky M., Wihstutz V. Lyapunov exponents of nilpotent Itô systems. Stochastics. 25:1988;43-57.
    • (1988) Stochastics , vol.25 , pp. 43-57
    • Pinsky, M.1    Wihstutz, V.2
  • 10
    • 23044526821 scopus 로고    scopus 로고
    • On the tangent flow of a stochastic differential equation with fast drift
    • Sowers R. On the tangent flow of a stochastic differential equation with fast drift. Trans. Amer. Math. Soc. 353:2001;1321-1334.
    • (2001) Trans. Amer. Math. Soc. , vol.353 , pp. 1321-1334
    • Sowers, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.