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Volumn 50, Issue 1-2, 2007, Pages 213-227

Principal resonance of a Duffing oscillator with delayed state feedback under narrow-band random parametric excitation

Author keywords

Largest Lyapunov exponent; Narrow band random noise; Stability; Time delay

Indexed keywords

COMPUTER SIMULATION; LYAPUNOV METHODS; NONLINEAR EQUATIONS; RESONANCE; STATE FEEDBACK; TIME DELAY;

EID: 34548231073     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-006-9152-7     Document Type: Article
Times cited : (31)

References (25)
  • 4
    • 34548223201 scopus 로고    scopus 로고
    • Diekmann, O., van Gils, S.A., Verduyn.Lunel, S.M., Walther, H.-O.: Delay Equations, Functional, Complex, and Nonlinear Analysis. Springer-Verlag, New York (1995)
    • Diekmann, O., van Gils, S.A., Verduyn.Lunel, S.M., Walther, H.-O.: Delay Equations, Functional, Complex, and Nonlinear Analysis. Springer-Verlag, New York (1995)
  • 5
    • 0032048711 scopus 로고    scopus 로고
    • Resonances of a harmonically forced duffing oscillator with time delay state feedback
    • Hu, H.Y., Dowell, E.H., Virgin, L.N.: Resonances of a harmonically forced duffing oscillator with time delay state feedback. Nonlinear Dyn. 15, 311-327 (1998)
    • (1998) Nonlinear Dyn , vol.15 , pp. 311-327
    • Hu, H.Y.1    Dowell, E.H.2    Virgin, L.N.3
  • 6
    • 0035493290 scopus 로고    scopus 로고
    • The response of a parametrically excited van der Pol oscillator to a time delay state feedback
    • Maccari, A.: The response of a parametrically excited van der Pol oscillator to a time delay state feedback. Nonlinear Dyn. 26, 105-119 (2001)
    • (2001) Nonlinear Dyn , vol.26 , pp. 105-119
    • Maccari, A.1
  • 7
    • 0036502359 scopus 로고    scopus 로고
    • Bifurcation control of a parametrically excited duffing system
    • Ji, J.C., Leung, A.Y.T.: Bifurcation control of a parametrically excited duffing system. Nonlinear Dyn. 27, 411-417 (2002)
    • (2002) Nonlinear Dyn , vol.27 , pp. 411-417
    • Ji, J.C.1    Leung, A.Y.T.2
  • 10
    • 0024088274 scopus 로고
    • Random superharmonic and subharmonic response: Multiple time scaling of a duffing oscillator
    • Davies, H.G.,Rajan, S.: Random superharmonic and subharmonic response: multiple time scaling of a duffing oscillator. J. Sound Vib. 126(2), 195-208 (1988)
    • (1988) J. Sound Vib , vol.126 , Issue.2 , pp. 195-208
    • Davies, H.G.1    Rajan, S.2
  • 11
    • 0025430488 scopus 로고
    • The response envelope probability density function of a duffing oscillator with andom, narrow-band excitation
    • Davies, H.G., Liu, Q.: The response envelope probability density function of a duffing oscillator with andom, narrow-band excitation. J. Sound. Vib. 139(1), 1-8 (1990)
    • (1990) J. Sound. Vib , vol.139 , Issue.1 , pp. 1-8
    • Davies, H.G.1    Liu, Q.2
  • 12
    • 0037419470 scopus 로고    scopus 로고
    • Stochastic averaging of strongly non-linear oscillators under bounded noise excitation
    • Huang, Z.L., Zhu, WQ., Ni, Y.Q., Ko, J.M.: Stochastic averaging of strongly non-linear oscillators under bounded noise excitation. J. Sound. Vib. 254, 245-267 (2002)
    • (2002) J. Sound. Vib , vol.254 , pp. 245-267
    • Huang, Z.L.1    Zhu, W.Q.2    Ni, Y.Q.3    Ko, J.M.4
  • 13
    • 0001201564 scopus 로고    scopus 로고
    • Principal response of duffing oscillator to combined deterministic and narrow-band random parametric excitation
    • Rong, H.W., Xu, W., Fang, T.: Principal response of duffing oscillator to combined deterministic and narrow-band random parametric excitation. J. Sound Vib. 210(4), 483-515 (1998)
    • (1998) J. Sound Vib , vol.210 , Issue.4 , pp. 483-515
    • Rong, H.W.1    Xu, W.2    Fang, T.3
  • 14
    • 0037408874 scopus 로고    scopus 로고
    • Maximal Lyapunov exponent and almost-sure sample stability for second order linear stochastic system
    • Rong, H.W., Xu, W., Wang, X.D., Meng, G., Fang, T.: Maximal Lyapunov exponent and almost-sure sample stability for second order linear stochastic system. Int. J. Non-Linear Mech. 38, 609-614 (2003)
    • (2003) Int. J. Non-Linear Mech , vol.38 , pp. 609-614
    • Rong, H.W.1    Xu, W.2    Wang, X.D.3    Meng, G.4    Fang, T.5
  • 15
    • 0031125702 scopus 로고    scopus 로고
    • Control of time delay linear system with Gaussian white noise
    • Grigoriu, M.: Control of time delay linear system with Gaussian white noise. J. Eng. Mech. 12, 89-96 (1997)
    • (1997) J. Eng. Mech , vol.12 , pp. 89-96
    • Grigoriu, M.1
  • 16
    • 0035198773 scopus 로고    scopus 로고
    • Time delay induced effects on control of linear systems under random excitation
    • Paola, M.D., Pirrotta, A.: Time delay induced effects on control of linear systems under random excitation. J. Eng. Mech. 16, 43-51 (2001)
    • (2001) J. Eng. Mech , vol.16 , pp. 43-51
    • Paola, M.D.1    Pirrotta, A.2
  • 17
    • 0025452258 scopus 로고
    • Invariant measures and Lyapunov exponents for generalized parameter fluctuations
    • Wedig, W.V.: Invariant measures and Lyapunov exponents for generalized parameter fluctuations. Struct. Saf. 8, 13-25 (1990)
    • (1990) Struct. Saf , vol.8 , pp. 13-25
    • Wedig, W.V.1
  • 20
    • 0000543733 scopus 로고
    • A multiplicative Ergodic theorem -Lyapunov characteristic numbers for dynamical systems
    • Oseledec, V.L.: A multiplicative Ergodic theorem -Lyapunov characteristic numbers for dynamical systems. Trans. Moscow Math. Soc. 19, 197-231 (1968)
    • (1968) Trans. Moscow Math. Soc , vol.19 , pp. 197-231
    • Oseledec, V.L.1
  • 23
    • 0023249392 scopus 로고
    • Numerical simulations of jump phenomena in stable duffing systems
    • Fang, T., Dowell, E.H.: Numerical simulations of jump phenomena in stable duffing systems. Int. J. Non-Linear Mech. 22, 267-274 (1987)
    • (1987) Int. J. Non-Linear Mech , vol.22 , pp. 267-274
    • Fang, T.1    Dowell, E.H.2
  • 24
    • 0039400744 scopus 로고
    • Digital simulation of random processes and its applications
    • Shinozuka, M., Jan, C.-M.: Digital simulation of random processes and its applications. J. Sound Vib. 25, 111-128 (1972)
    • (1972) J. Sound Vib , vol.25 , pp. 111-128
    • Shinozuka, M.1    Jan, C.-M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.