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Volumn 230, Issue 5, 2000, Pages 1165-1176

Proposal of testing method on the exact steady state probability density function of non-linear stochastic system

Author keywords

[No Author keywords available]

Indexed keywords

MARKOV PROCESSES; NONLINEAR SYSTEMS; NUMERICAL METHODS; OSCILLATIONS; PROBABILITY DENSITY FUNCTION; SYSTEMS ANALYSIS;

EID: 0033733441     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1999.2715     Document Type: Article
Times cited : (5)

References (11)
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    • (1996) Journal of Applied Mechanics. Transactions of the ASME , vol.63 , pp. 493-500
    • Zhu, W.Q.1    Yang, Y.Q.2
  • 3
    • 0031552902 scopus 로고    scopus 로고
    • Exact stationary probability density for second-order nonlinear systems under external white noise excitation
    • WANG RUBIN, YASUDA KIMIHIKO. Exact stationary probability density for second-order nonlinear systems under external white noise excitation. Journal of Sound and Vibration. 205:1997;647-655.
    • (1997) Journal of Sound and Vibration , vol.205 , pp. 647-655
    • Wang, R.1    Yasuda, K.2
  • 4
    • 0343963990 scopus 로고    scopus 로고
    • Exact stationary response solutions of six classes of nonlinear stochastic systems under stochastic parametric and external excitations
    • WANG RUBIN, ZHANG ZHIKANG. Exact stationary response solutions of six classes of nonlinear stochastic systems under stochastic parametric and external excitations. Journal of Engineering Mechanics, ASCE. 18:1998;18-23.
    • (1998) Journal of Engineering Mechanics, ASCE , vol.18 , pp. 18-23
    • Wang, R.1    Zhang, Z.2
  • 5
    • 0031641514 scopus 로고    scopus 로고
    • On joint stationary probability density function of nonlinear dynamic systems
    • ZHANG ZHIKANG, WANG RUBIN, YASUDA KIMIHIKO. On joint stationary probability density function of nonlinear dynamic systems. Acta Mechanica. 130:1998;29-39.
    • (1998) Acta Mechanica , vol.130 , pp. 29-39
    • Zhang, Z.1    Wang, R.2    Yasuda, K.3
  • 6
    • 85031557495 scopus 로고    scopus 로고
    • A generalized analysis technique of the stationary FPK equation in nonlinear systems under Gaussian white noise excitations
    • RUBIN, WANG, KIMIHIKO, YASUDA, ZHIKANG, ZHANG, International Journal of Engineering Science, A generalized analysis technique of the stationary FPK equation in nonlinear systems under Gaussian white noise excitations.
    • International Journal of Engineering Science
    • Wang, R.1    Yasuda, K.2    Zhang, Z.3
  • 7
    • 38249028432 scopus 로고
    • Steady state solution of Fokker-Planck equations in higher dimension
    • SOIZE C. Steady state solution of Fokker-Planck equations in higher dimension. Probabilistic Engineering Mechanics. 3:1988;196-206.
    • (1988) Probabilistic Engineering Mechanics , vol.3 , pp. 196-206
    • Soize, C.1
  • 8
    • 0026207597 scopus 로고
    • Exact stationary response of multi-dimensional non-linear Hamiltonian dynamical systems under parametric and external stochastic excitations
    • SOIZE C. Exact stationary response of multi-dimensional non-linear Hamiltonian dynamical systems under parametric and external stochastic excitations. Journal of Sound and Vibration. 149:1991;1-24.
    • (1991) Journal of Sound and Vibration , vol.149 , pp. 1-24
    • Soize, C.1
  • 9
    • 34249957292 scopus 로고
    • Exact solutions for stationary response of several classes of nonlinear systems to parametric and/or external white noise excitations
    • ZHU W. Q. Exact solutions for stationary response of several classes of nonlinear systems to parametric and/or external white noise excitations. Applied Mathematical and Mechanics. 11:1990;165-175.
    • (1990) Applied Mathematical and Mechanics , vol.11 , pp. 165-175
    • Zhu, W.Q.1
  • 10
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    • The exact steady-state solution of a class of non-linear stochastic systems
    • CAUGHEY T. K., MA F. The exact steady-state solution of a class of non-linear stochastic systems. International Journal of Non-Linear Mechanics. 17:1982;137-142.
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    • Caughey, T.K.1    Ma, F.2
  • 11
    • 0023171749 scopus 로고
    • Exact stationary-response solution for second order nonlinear systems under parametric and external white-noise excitations
    • YONG Y., LIN Y. K. Exact stationary-response solution for second order nonlinear systems under parametric and external white-noise excitations. Journal of Applied Mechanics, Transactions of the ASME. 54:1987;415-418.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.