메뉴 건너뛰기




Volumn 51, Issue 4, 2008, Pages 541-550

Transitions in a Duffing oscillator excited by random noise

Author keywords

Duffing oscillator; Hyperbolic system; Noise induced transition; Non white noise excitation; Probability density function

Indexed keywords

CORRELATION METHODS; NOISE ABATEMENT; PROBABILITY DENSITY FUNCTION;

EID: 38349108734     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-007-9243-0     Document Type: Article
Times cited : (21)

References (34)
  • 5
    • 0001538878 scopus 로고
    • Application of quasi-conservative averaging to a non-linear system under non-white excitation
    • Dimentberg, M., Cai, G.Q., Lin, Y.K.: Application of quasi-conservative averaging to a non-linear system under non-white excitation. Int. J. Non-Linear Mech. 30, 677-685 (1995)
    • (1995) Int. J. Non-Linear Mech. , vol.30 , pp. 677-685
    • Dimentberg, M.1    Cai, G.Q.2    Lin, Y.K.3
  • 6
    • 0029184707 scopus 로고
    • A method for probabilistic analysis of nonlinear systems
    • Di Paola, M., Ricciardi, G., Vasta, M.: A method for probabilistic analysis of nonlinear systems. Probabilistic Eng. Mech. 10, 1-10 (1995)
    • (1995) Probabilistic Eng. Mech. , vol.10 , pp. 1-10
    • Di Paola, M.1    Ricciardi, G.2    Vasta, M.3
  • 8
    • 0033528039 scopus 로고    scopus 로고
    • Approximate probability distributions for stochastic systems: Maximum entropy method
    • Sobczyk, K., Trebicki, J.: Approximate probability distributions for stochastic systems: maximum entropy method. Comput. Methods Appl. Mech. Eng. 168, 91-111 (1998)
    • (1998) Comput. Methods Appl. Mech. Eng. , vol.168 , pp. 91-111
    • Sobczyk, K.1    Trebicki, J.2
  • 9
    • 0343351867 scopus 로고    scopus 로고
    • Lagranganian/Eulerian description of the dynamical systems
    • Bontempi, F., Faravelli, L.: Lagranganian/Eulerian description of the dynamical systems. ASCE J. Eng. Mech. 124, 901-911 (1998)
    • (1998) ASCE J. Eng. Mech. , vol.124 , pp. 901-911
    • Bontempi, F.1    Faravelli, L.2
  • 10
    • 0033633360 scopus 로고    scopus 로고
    • Changes in the dynamical behavior of nonlinear systems induced by noise
    • Landa, P.S., McClintock, P.V.E.: Changes in the dynamical behavior of nonlinear systems induced by noise. Phys. Rep. 323, 1-80 (2000)
    • (2000) Phys. Rep. , vol.323 , pp. 1-80
    • Landa, P.S.1    McClintock, P.V.E.2
  • 11
    • 0034158965 scopus 로고    scopus 로고
    • On the calculation of stationary solutions of multi-dimensional Fokker-Planck equations by orthogonal functions
    • von Wagner, U., Wedig, W.V.: On the calculation of stationary solutions of multi-dimensional Fokker-Planck equations by orthogonal functions. Nonlinear Dyn. 21, 289-306 (2000)
    • (2000) Nonlinear Dyn. , vol.21 , pp. 289-306
    • Von Wagner, U.1    Wedig, W.V.2
  • 12
    • 0033874591 scopus 로고    scopus 로고
    • Efficient path integration methods for nonlinear dynamic systems
    • Naess, A., Moe, V.: Efficient path integration methods for nonlinear dynamic systems. Probabilistic Eng. Mech. 15, 221-231 (2000)
    • (2000) Probabilistic Eng. Mech. , vol.15 , pp. 221-231
    • Naess, A.1    Moe, V.2
  • 13
    • 0035480569 scopus 로고    scopus 로고
    • Non-linear stochastic response distributions by local stochastic linearization
    • Pradlwarter, H.J.: Non-linear stochastic response distributions by local stochastic linearization. Int. J. Non-Linear Mech. 36, 1135-1151 (2001)
    • (2001) Int. J. Non-Linear Mech. , vol.36 , pp. 1135-1151
    • Pradlwarter, H.J.1
  • 14
    • 0035953721 scopus 로고    scopus 로고
    • Response of a Duffing oscillator to combined deterministic harmonic and random excitations
    • Haiwu, R., Wu, X., Guang, F., Tong, F.: Response of a Duffing oscillator to combined deterministic harmonic and random excitations. J. Sound Vib. 242, 362-368 (2001)
    • (2001) J. Sound Vib. , vol.242 , pp. 362-368
    • Haiwu, R.1    Wu, X.2    Guang, F.3    Tong, F.4
  • 15
    • 0035135948 scopus 로고    scopus 로고
    • Random vibration of strongly nonlinear systems
    • Cai, G.K., Lin, Y.K.: Random vibration of strongly nonlinear systems. Nonlinear Dyn. 24, 3-15 (2001)
    • (2001) Nonlinear Dyn. , vol.24 , pp. 3-15
    • Cai, G.K.1    Lin, Y.K.2
  • 16
    • 2442617016 scopus 로고    scopus 로고
    • On using non-Gaussian distributions to perform statistical linearization
    • Crandall, S.H.: On using non-Gaussian distributions to perform statistical linearization. Int. J. Non-Linear Mech. 39, 1395-1406 (2004)
    • (2004) Int. J. Non-Linear Mech. , vol.39 , pp. 1395-1406
    • Crandall, S.H.1
  • 17
    • 0000525427 scopus 로고
    • Nonlinear theory of random vibration
    • Academic Press New York
    • Caughey, T.K.: Nonlinear theory of random vibration. In: Yin, C.S. (ed.) Advances in Applied Mechanics, Vol. 11, pp. 209-253. Academic Press, New York (1971)
    • (1971) Advances in Applied Mechanics, Vol. 11 , pp. 209-253
    • Caughey, T.K.1    Yin, C.S.2
  • 18
    • 4244018202 scopus 로고
    • Reentrance phenomena in noise induced transitions
    • Castro, F., Sanchez, A.D., Wio, H.S.: Reentrance phenomena in noise induced transitions. Phys. Rev. Lett. 75, 1691-1694 (1995)
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 1691-1694
    • Castro, F.1    Sanchez, A.D.2    Wio, H.S.3
  • 19
    • 2642511457 scopus 로고    scopus 로고
    • Effect of non-Gaussian noise sources in a noise-induced transition
    • Wio, H.S., Toral, R.: Effect of non-Gaussian noise sources in a noise-induced transition. Physica D 193, 161-168 (2004)
    • (2004) Physica D , vol.193 , pp. 161-168
    • Wio, H.S.1    Toral, R.2
  • 20
    • 0000753370 scopus 로고
    • Stability and subcritical dynamics of structures with spatially disordered travelling parametric excitation
    • Dimentberg, M.F.: Stability and subcritical dynamics of structures with spatially disordered travelling parametric excitation. Probabilistic Eng. Mech. 7, 131-134 (1992)
    • (1992) Probabilistic Eng. Mech. , vol.7 , pp. 131-134
    • Dimentberg, M.F.1
  • 21
    • 0030243785 scopus 로고    scopus 로고
    • Iterative schemes for stability problems with non-singular Fokker-Planck equations
    • Wedig, W.V.: Iterative schemes for stability problems with non-singular Fokker-Planck equations. Int. J. Non-Linear Mech. 31, 707-715 (1996)
    • (1996) Int. J. Non-Linear Mech. , vol.31 , pp. 707-715
    • Wedig, W.V.1
  • 22
    • 0032216474 scopus 로고    scopus 로고
    • Stability analysis of wind-induced torsional motion of slender bridges
    • Pandey, M.D., Ariaratnam, S.T.: Stability analysis of wind-induced torsional motion of slender bridges. Struct. Safety 20, 379-389 (1998)
    • (1998) Struct. Safety , vol.20 , pp. 379-389
    • Pandey, M.D.1    Ariaratnam, S.T.2
  • 23
    • 0036722194 scopus 로고    scopus 로고
    • Response statistics of two-degree-of freedom non-linear system to narrow-band random excitation
    • Haiwu, R., Wei, X., Xiangdon, W., Guang, M., Tong, F.: Response statistics of two-degree-of freedom non-linear system to narrow-band random excitation. Int. J. Non-Linear Mech. 37, 1017-1028 (2002)
    • (2002) Int. J. Non-Linear Mech. , vol.37 , pp. 1017-1028
    • Haiwu, R.1    Wei, X.2    Xiangdon, W.3    Guang, M.4    Tong, F.5
  • 24
    • 2342618243 scopus 로고    scopus 로고
    • Stochastic averaging of quasi-integrable Hamiltonian systems under bounded noise excitations
    • Huang, Z.L., Zhu, W.Q.: Stochastic averaging of quasi-integrable Hamiltonian systems under bounded noise excitations. Probabilistic Eng. Mech. 19, 219-228 (2004)
    • (2004) Probabilistic Eng. Mech. , vol.19 , pp. 219-228
    • Huang, Z.L.1    Zhu, W.Q.2
  • 26
    • 0000609688 scopus 로고
    • Transformations of Wiener integrals under translations
    • Cameron, R.H., Martin, W.T.: Transformations of Wiener integrals under translations. Annals Math. 45, 386-396 (1944)
    • (1944) Annals Math. , vol.45 , pp. 386-396
    • Cameron, R.H.1    Martin, W.T.2
  • 28
    • 20344386647 scopus 로고    scopus 로고
    • A closure method for randomly perturbed linear systems
    • Bobryk, R.V., Stettner, L.: A closure method for randomly perturbed linear systems. Demonstratio Mathematica 34, 415-424 (2001)
    • (2001) Demonstratio Mathematica , vol.34 , pp. 415-424
    • Bobryk, R.V.1    Stettner, L.2
  • 29
    • 20344403334 scopus 로고    scopus 로고
    • Moment stability for linear systems with a random parametric excitation
    • Bobryk, R.V., Stettner, L.: Moment stability for linear systems with a random parametric excitation. Syst. Control Lett. 54, 781-786 (2005)
    • (2005) Syst. Control Lett. , vol.54 , pp. 781-786
    • Bobryk, R.V.1    Stettner, L.2
  • 30
    • 26444487568 scopus 로고    scopus 로고
    • Transitions induced by bounded noise
    • Bobryk, R.V., Chrzeszczyk, A.: Transitions induced by bounded noise. Physica A 358, 263-272 (2005)
    • (2005) Physica A , vol.358 , pp. 263-272
    • Bobryk, R.V.1    Chrzeszczyk, A.2
  • 31
    • 0003057670 scopus 로고
    • Regular degeneration and boundary layer for linear differential equations with small parameter
    • in Russian
    • Vishik, M.I., Lyusternik, L.A.: Regular degeneration and boundary layer for linear differential equations with small parameter. Uspekhi Matematicheskikh Nauk 12, 3-122 (1957) (in Russian)
    • (1957) Uspekhi Matematicheskikh Nauk , vol.12 , pp. 3-122
    • Vishik, M.I.1    Lyusternik, L.A.2
  • 32
    • 3342911644 scopus 로고
    • The development and application of the asymptotic method of Lyusternik and Vishik
    • Trenogin, V.A.: The development and application of the asymptotic method of Lyusternik and Vishik. Russian Math. Surv. 25, 119-156 (1970)
    • (1970) Russian Math. Surv. , vol.25 , pp. 119-156
    • Trenogin, V.A.1
  • 34
    • 33846322562 scopus 로고    scopus 로고
    • Closure method and asymptotic expansions for linear stochastic systems
    • Bobryk, R.V.: Closure method and asymptotic expansions for linear stochastic systems. J. Math. Anal. Appl. 329, 703-711 (2007)
    • (2007) J. Math. Anal. Appl. , vol.329 , pp. 703-711
    • Bobryk, R.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.