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Volumn 35, Issue 4, 2000, Pages 645-655

Lyapunov exponent and almost sure asymptotic stability of quasi-linear gyroscopic systems

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CORRELATION METHODS; EQUATIONS OF MOTION; LYAPUNOV METHODS; MATHEMATICAL TRANSFORMATIONS; RANDOM PROCESSES;

EID: 0034227506     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7462(99)00047-5     Document Type: Article
Times cited : (19)

References (13)
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    • (1987) J. Sound Vibration , vol.119 , Issue.2 , pp. 363-373
    • Sri Namachchivaya, N.1
  • 3
    • 0000543733 scopus 로고
    • A multiplicative ergodic theorem: Lyapunov characteristic number for dynamical systems
    • Oseledec V.I. A multiplicative ergodic theorem: Lyapunov characteristic number for dynamical systems. Trans. Moscow Math. Soc. 19:1968;197-231.
    • (1968) Trans. Moscow Math. Soc. , vol.19 , pp. 197-231
    • Oseledec, V.I.1
  • 4
    • 0001549366 scopus 로고
    • Necessary and sufficient conditions for the asymptotic stability of linear stochastic systems
    • Khasminskii R.Z. Necessary and sufficient conditions for the asymptotic stability of linear stochastic systems. Theory Probab. Appl. 12(1):1967;144-147.
    • (1967) Theory Probab. Appl. , vol.12 , Issue.1 , pp. 144-147
    • Khasminskii, R.Z.1
  • 5
    • 44949279829 scopus 로고
    • Lyapunov exponents and stochastic stability of coupled linear systems
    • Ariaratnam S.T., Tam D.S.F., Xie W.C. Lyapunov exponents and stochastic stability of coupled linear systems. Probab. Eng. Mech. 6:1991;151-156.
    • (1991) Probab. Eng. Mech. , vol.6 , pp. 151-156
    • Ariaratnam, S.T.1    Tam, D.S.F.2    Xie, W.C.3
  • 6
    • 0026917425 scopus 로고
    • Lyapunov exponents and stochastic stability of coupled linear systems under real noise excitations
    • Ariaratnam S.T., Xie W.C. Lyapunov exponents and stochastic stability of coupled linear systems under real noise excitations. ASME J. Appl. Mech. 59:1992;664-673.
    • (1992) ASME J. Appl. Mech. , vol.59 , pp. 664-673
    • Ariaratnam, S.T.1    Xie, W.C.2
  • 7
    • 0000761056 scopus 로고    scopus 로고
    • Stochastic averaging of quasi-integrable-Hamiltonian systems
    • Zhu W.Q., Huang Z.L., Yang Y.Q. Stochastic averaging of quasi-integrable-Hamiltonian systems. ASME J. Appl. Mech. 64:1997;975-984.
    • (1997) ASME J. Appl. Mech. , vol.64 , pp. 975-984
    • Zhu, W.Q.1    Huang, Z.L.2    Yang, Y.Q.3
  • 8
    • 0033100332 scopus 로고    scopus 로고
    • Lyapunov exponents and stochastic stability of quasi-integrable-Hamiltonian systems
    • Zhu W.Q., Huang Z.L. Lyapunov exponents and stochastic stability of quasi-integrable-Hamiltonian systems. ASME J. Appl. Mech. 66:1999;211-217.
    • (1999) ASME J. Appl. Mech. , vol.66 , pp. 211-217
    • Zhu, W.Q.1    Huang, Z.L.2
  • 10
    • 0001761644 scopus 로고
    • Limit theorem for the solution of differential equations with random right hand sides
    • Khasminskii R.Z. Limit theorem for the solution of differential equations with random right hand sides. Theory Probab. Appl. 11:1966;390-405.
    • (1966) Theory Probab. Appl. , vol.11 , pp. 390-405
    • Khasminskii, R.Z.1
  • 13
    • 0016556017 scopus 로고
    • Stability of a gyroscopic non-conservative system
    • Hauger W. Stability of a gyroscopic non-conservative system. ASME J. Appl. Mech. 42:1975;739-740.
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    • Hauger, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.