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Volumn 201, Issue 5, 1997, Pages 648-656

Supercritical and subcritical hopf bifurcations in a stochastically excited system

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; LYAPUNOV METHODS; NONLINEAR SYSTEMS; PERTURBATION TECHNIQUES; POLYNOMIALS; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; SYSTEM STABILITY;

EID: 0031117797     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0757     Document Type: Editorial
Times cited : (1)

References (18)
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    • 0024768206 scopus 로고
    • Bifurcations in a stochastically disturbed nonlinear two-degree-of-freedom system
    • C. W. S. To and R. LIN 1989 Journal of Structural Safety 6, 223-231. Bifurcations in a stochastically disturbed nonlinear two-degree-of-freedom system.
    • (1989) Journal of Structural Safety , vol.6 , pp. 223-231
    • To, C.W.S.1    Lin, R.2
  • 10
    • 0000438813 scopus 로고
    • Lyapunov exponent and rotation number of two-dimensional linear stochastic systems with small diffusion
    • E. PARDOUX and V. WIHSTUTZ 1988 SIAM Journal of Applied Mathematics 48, 442-457. Lyapunov exponent and rotation number of two-dimensional linear stochastic systems with small diffusion.
    • (1988) SIAM Journal of Applied Mathematics , vol.48 , pp. 442-457
    • Pardoux, E.1    Wihstutz, V.2
  • 12
    • 0021477394 scopus 로고
    • A formula connecting sample and moment stability of linear stochastic systems
    • L. ARNOLD 1984 SIAM Journal of Applied Mathematics 44, 793-802. A formula connecting sample and moment stability of linear stochastic systems.
    • (1984) SIAM Journal of Applied Mathematics , vol.44 , pp. 793-802
    • Arnold, L.1
  • 13
    • 0000543733 scopus 로고
    • A multiplicative ergodic theorem: Lyapunov characteristic number for dynamical systems
    • V. I. OSELEDEC 1968 Transactions of the Moscow Mathematical Society 19, 197-231. A multiplicative ergodic theorem: Lyapunov characteristic number for dynamical systems.
    • (1968) Transactions of the Moscow Mathematical Society , vol.19 , pp. 197-231
    • Oseledec, V.I.1
  • 15
    • 0022519829 scopus 로고
    • Stability of a nonlinearly damped second-order system with randomly fluctuating restoring coefficient
    • J. J. BROUWERS 1986 International Journal of Non-linear Mechanics 21, 1-13. Stability of a nonlinearly damped second-order system with randomly fluctuating restoring coefficient.
    • (1986) International Journal of Non-linear Mechanics , vol.21 , pp. 1-13
    • Brouwers, J.J.1
  • 16
    • 0000404739 scopus 로고
    • Carleman imbedding of multiplicative stochastic processes
    • R. GRAHAM and A. SCHENZLE 1982 Physical Review A25, 1731-1754. Carleman imbedding of multiplicative stochastic processes.
    • (1982) Physical Review , vol.A25 , pp. 1731-1754
    • Graham, R.1    Schenzle, A.2
  • 17
    • 0002508098 scopus 로고
    • Lyapunov exponents of stochastic systems and related bifurcation problems
    • S. T. Ariaratnam, G. I. Schueller and I. Elishakoff, editors
    • W. WEDIG 1988 in Stochastic Structural Dynamics: Progress in Theory and Applications (S. T. Ariaratnam, G. I. Schueller and I. Elishakoff, editors), 315-328. Lyapunov exponents of stochastic systems and related bifurcation problems.
    • (1988) Stochastic Structural Dynamics: Progress in Theory and Applications , pp. 315-328
    • Wedig, W.1
  • 18
    • 0012551718 scopus 로고    scopus 로고
    • Largest lyapunov exponents and bifurcations of stochastic nonlinear systems
    • C. W. S. To and D. M. LI 1996 Journal of Shock and Vibration 3, 313-320. Largest Lyapunov exponents and bifurcations of stochastic nonlinear systems.
    • (1996) Journal of Shock and Vibration , vol.3 , pp. 313-320
    • To, C.W.S.1    Li, D.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.