[1] |
G.Nicolis and I.Prigogine,Self-Orgamzation in Nonequilibrium Systems.Wiley,NewYork(1977).
|
[2] |
H.Haken,Synergetics,Springer-Verlag,Berlin(1977).
|
[3] |
R.Graham,Stochastic methods in nonequilibrium thermodynamics,in L.Arnold et al.eds.,Stochastic Nonlinear Systems in Physics,Chemiatry and Biotogy,Berlin,3pringer-Verlag(1981),202~212.
|
[4] |
C.Meunier and A.D.Verga.Noise and bifurcation,J.Stat.Phys.,50,1~(1988),345~375.
|
[5] |
N.Sri Namachchivaya,Stochastic bifurcation,APPl.Math.& Compt.,38(1990),101~159.
|
[6] |
L.Arnold,Lyapunov exponents of nonlinear stochastic systems,Nonlinear StochasticDynamic Engrg.Systeins,F.Ziegler and G.I.Schueller eds.,Springer-Verlag,Berlin,New York(1987),181~203.
|
[7] |
R.Z.Khasminskii,Necessary and sufficient conditions for the asymptotic stabilitv oflinear stochastic systems,Theory Prob.& APPl.,12,1(1967),144~147.
|
[8] |
R.Z.Khasminskii,Stochastic Stability of Differential Equations,Sijthoff and Noordloff.Alphen aan den Rijn,the Netherlands,Rockville,Maryland.USA(1980).
|
[9] |
L.Arnold and V.Wihstutz,eds.,Lyapunov exponents,Proc.of a Workshop,held inBremen,November 12~15,1984,Springer-Verlag,Berlin,Heidelberg(1986).
|
[10] |
S.T.Ariaratnam and W.C.Xie,Lyapunov exponent and rotation number of a two-dimensional nilpotent stochastic system,Dyna.& Stab.Sys.,5,1(1990),1~9.
|
[11] |
S.T.Ariaratnam,D.S.F.Tam and W.C.Xie,Lyapunov exponents of two-degree-of-freedom linear stochastic systems,Stochastic Structural Dynamics l,Y.K.Lin and I.Elishakoff eds.,Springer-Verlag,Berlin(1991),1~9.
|
[12] |
N.Sri Namachchivaya and S.Talwar,Maximal Lyapunov exponent and rotationnumber for stochastically perturbed co-dimension two bifurcation,J.Sound & Vib,.169.3(1993),349~372.
|
[13] |
L.Arnold and W.Kliemann,Qualitative theory of stochastic systems,Prob.Anal.andRelaled Topics.A.T.Bharucha-Reid eds.Academic Press,New York,Lindon.3(1983).1~79.
|
[14] |
Z.Schuss,Theory and APPlications of Stochaslic Differential Equations,John Wiley &Sons,New York(1980).
|
[15] |
K.Ito and H.P.McKean,Jr.,Diffusion Processes and Tleir Sample Paths.Springer-Verlag,New York(1965).
|
[16] |
S.Karlin and H.M.Taylor,A Second Course in Stochastic Processes,Academic Press.New York(1981).
|
[17] |
F.Kozin and S.Prodromou,Necessary and sufficient conditions for almost sure samplestability of linear Ito equations,SIAM J.APPl.Math.,21(1971),413~424.
|
[18] |
R.R.Mitchell and F.Kozin,Sample stability of second order linear differentialequations with wide band noise coefficients,SIAM.J.APPl.Math.,27(1974),571~605.
|
[19] |
K.Nishoka,On the stability of two-dimensional linear stochastic systems-Kotlai Math.Sem.Rep.,27(1976),221~230.
|
[20] |
徐利治、陈文忠,《渐近分析方法及应用》,国防工业出版社(1991).
|
[21] |
尼科里斯、普利高津,《探索复杂性》(罗久里,陈奎宁泽),四川教育出版社,成都(1986).
|
[22] |
刘先斌,《随机力学系统的分叉行为与变分方法研究》,西南交通大学博士学位论文,成都(1995).
|