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Volumn 218, Issue 5, 1998, Pages 769-789

Stochastic stability of quasi-non-integrable-Hamiltonian systems

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; DEGREES OF FREEDOM (MECHANICS); ONE DIMENSIONAL; OSCILLATORS (MECHANICAL); PROBABILITY; RANDOM PROCESSES; WHITE ACOUSTIC NOISE;

EID: 0032295785     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1998.1830     Document Type: Article
Times cited : (40)

References (17)
  • 1
    • 0014445822 scopus 로고
    • A survey of stability of stochastic systems
    • F. KOZIN 1969 Automatica 5, 95-112. A survey of stability of stochastic systems.
    • (1969) Automatica , vol.5 , pp. 95-112
    • Kozin, F.1
  • 4
    • 0004235995 scopus 로고
    • Instability theorem based on the nature of the boundary behaviour for one-dimensional diffusion
    • N. SRI NAMACHCHIVAYA 1989 Solid Mechanics Archives 14, 131-142. Instability theorem based on the nature of the boundary behaviour for one-dimensional diffusion.
    • (1989) Solid Mechanics Archives , vol.14 , pp. 131-142
    • Sri Namachchivaya, N.1
  • 10
    • 0031100992 scopus 로고    scopus 로고
    • Stochastic averaging of quasi-nonintegrable-Hamiltonian systems
    • W. Q. ZHU and Y. Q. YANG 1997 ASME Journal of Applied Mechanics 64, 157-164. Stochastic averaging of quasi-nonintegrable-Hamiltonian systems.
    • (1997) ASME Journal of Applied Mechanics , vol.64 , pp. 157-164
    • Zhu, W.Q.1    Yang, Y.Q.2
  • 11
    • 0001254093 scopus 로고
    • The parabolic differential equation and the associated semigroups of transformations
    • W. FELLER 1952 Annals of Mathematics 55, 468-519. The parabolic differential equation and the associated semigroups of transformations.
    • (1952) Annals of Mathematics , vol.55 , pp. 468-519
    • Feller, W.1
  • 14
    • 0038841770 scopus 로고    scopus 로고
    • Lyapunov exponents and stochastic stability of quasi-integrable-Hamiltonian systems
    • in press
    • W. Q. ZHU and Z. L. HUANG 1998 (in press) ASME Journal of Applied Mechanics. Lyapunov exponents and stochastic stability of quasi-integrable-Hamiltonian systems.
    • (1998) ASME Journal of Applied Mechanics.
    • Zhu, W.Q.1    Huang, Z.L.2
  • 15
    • 0024768206 scopus 로고
    • Bifurcation in a stochastically disturbed nonlinear two-degree-of-freedom system
    • C. W. S. To and R. LIN 1989 Structural Safety 6, 223-231. Bifurcation in a stochastically disturbed nonlinear two-degree-of-freedom system.
    • (1989) Structural Safety , vol.6 , pp. 223-231
    • To, C.W.S.1    Lin, R.2
  • 16
    • 0028499411 scopus 로고
    • Equivalent nonlinear system method for stochastically excited Hamiltonian systems
    • W. Q. ZHU, T. T. SOONG and Y. LEI 1994 ASME Journal of Applied Mechanics 61, 618-623. Equivalent nonlinear system method for stochastically excited Hamiltonian systems.
    • (1994) ASME Journal of Applied Mechanics , vol.61 , pp. 618-623
    • Zhu, W.Q.1    Soong, T.T.2    Lei, Y.3
  • 17
    • 0001549366 scopus 로고
    • Sufficient and necessary conditions of almost-sure asymptotic stability of a linear stochastic system
    • R. Z. KHASMINSKII 1967 Theory of Probability and Application 12, 144-147. Sufficient and necessary conditions of almost-sure asymptotic stability of a linear stochastic system.
    • (1967) Theory of Probability and Application , vol.12 , pp. 144-147
    • Khasminskii, R.Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.