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Volumn 15, Issue 2, 2000, Pages 185-208

Stabilization of linear systems by noise: Application to flow induced oscillations

Author keywords

[No Author keywords available]

Indexed keywords

CYLINDERS (SHAPES); DEGREES OF FREEDOM (MECHANICS); LINEAR SYSTEMS; LYAPUNOV METHODS; RANDOM PROCESSES; TURBULENCE; WAKES;

EID: 0034207195     PISSN: 14689367     EISSN: None     Source Type: Journal    
DOI: 10.1080/713603738     Document Type: Article
Times cited : (33)

References (15)
  • 3
    • 0031223415 scopus 로고    scopus 로고
    • Small noise expansion of moment Lyapunov exponents for general two dimensional systems
    • Arnold, L., Doyle, M. M., and Sri Namachchivaya, N., 1997, Small noise expansion of moment Lyapunov exponents for general two dimensional systems. Dynamics and Stability of Systems, 12(3): 187-211.
    • (1997) Dynamics and Stability of Systems , vol.12 , Issue.3 , pp. 187-211
    • Arnold, L.1    Doyle, M.M.2    Sri Namachchivaya, N.3
  • 4
    • 0001881377 scopus 로고
    • Lyapunov Exponents of Linear Stochastic Systems
    • New York: Springer-Verlag
    • Arnold, L., Kliemann, W., and Oeljeklaus, E., 1986a, Lyapunov Exponents of Linear Stochastic Systems, Lectures Notes in Mathematics Vol. 1186 (New York: Springer-Verlag), pp. 85-125.
    • (1986) Lectures Notes in Mathematics , vol.1186 , pp. 85-125
    • Arnold, L.1    Kliemann, W.2    Oeljeklaus, E.3
  • 5
    • 0001881373 scopus 로고
    • Almost Sure and Moment Stability for Linear Itô Equations
    • New York: Springer-Verlag
    • Arnold, L., Oeljeklaus, E., and Pardoux, E., 1986b, Almost Sure and Moment Stability for Linear Itô Equations, Lecture Notes in Mathematics Vol. 1186 (New York: Springer-Verlag), pp. 129-159.
    • (1986) Lecture Notes in Mathematics , vol.1186 , pp. 129-159
    • Arnold, L.1    Oeljeklaus, E.2    Pardoux, E.3
  • 6
    • 21344488886 scopus 로고
    • Almost-sure asymptotic stability of a general four dimensional dynamic system driven by real noise
    • Doyle, M. M., and Sri Namachchivaya, N., 1994, Almost-sure asymptotic stability of a general four dimensional dynamic system driven by real noise. Journal of Statistical Physics, 75(3/4): 525-552.
    • (1994) Journal of Statistical Physics , vol.75 , Issue.3-4 , pp. 525-552
    • Doyle, M.M.1    Sri Namachchivaya, N.2
  • 7
    • 0032003177 scopus 로고    scopus 로고
    • Moment Lyapunov exponent and stability index for linear conservative system with small random perturbation
    • Khas'minskii, R. Z., and Moshchuk, N., 1998, Moment Lyapunov exponent and stability index for linear conservative system with small random perturbation. SIAM Journal of Applied Mathematics, 58(1): 245-256.
    • (1998) SIAM Journal of Applied Mathematics , vol.58 , Issue.1 , pp. 245-256
    • Khas'minskii, R.Z.1    Moshchuk, N.2
  • 8
    • 0000438813 scopus 로고
    • Lyapunov exponent and rotation number of two-dimensional linear stochastic systems with small diffusion
    • Pardoux, E., and Wihstutz, V., 1988, Lyapunov exponent and rotation number of two-dimensional linear stochastic systems with small diffusion. SIAM Journal of Applied Mathematics, 48(2): 442-457.
    • (1988) SIAM Journal of Applied Mathematics , vol.48 , Issue.2 , pp. 442-457
    • Pardoux, E.1    Wihstutz, V.2
  • 10
    • 0015019949 scopus 로고
    • On the flutter of a smooth circular cylinder in a wake
    • Simpson, A., 1971, On the flutter of a smooth circular cylinder in a wake. The Aeronautical Quarterly, 22(1): 25-41.
    • (1971) The Aeronautical Quarterly , vol.22 , Issue.1 , pp. 25-41
    • Simpson, A.1
  • 12
    • 0000963213 scopus 로고
    • Application of stochastic averaging for system with high damping
    • Sri Namachchivaya, N., and Lin, Y. K., 1988, Application of stochastic averaging for system with high damping. Probabilistic Engineering Mechanics, 3(3): 185-196.
    • (1988) Probabilistic Engineering Mechanics , vol.3 , Issue.3 , pp. 185-196
    • Sri Namachchivaya, N.1    Lin, Y.K.2
  • 13
    • 21144461048 scopus 로고
    • Maximal Lyapunov exponents and rotation numbers for two coupled oscillators driven by real noise
    • Sri Namachchivaya, N., and Van Roessel, H. J., 1993, Maximal Lyapunov exponents and rotation numbers for two coupled oscillators driven by real noise. Journal of Statistical Physics, 71(3/4): 549-567.
    • (1993) Journal of Statistical Physics , vol.71 , Issue.3-4 , pp. 549-567
    • Sri Namachchivaya, N.1    Van Roessel, H.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.