Invariant measures and Lyapunov exponents for generalized parameter fluctuations
Tài liệu tham khảo
Khasminskii, 1967, Necessary and sufficient conditions for asymptotic stability of linear stochastic systems, Theory Prob. Appl., 12, 144, 10.1137/1112019
Kozin, 1972, Stability of linear stochastic systems, Vol. 294, 186
Oseledec, 1968, A multiplicative ergodic theorem, Lyapunov characteristic numbers for dynamical systems, Trans. Moscow Math. Soc., 19, 197
Arnold, 1981, Qualitative theory of stochastic systems, Vol. 3
Pardoux, 1988, Stability of linear differential systems with parametric excitation, 153
Wedig, 1990, Stability and bifurcation in stochastic systems, 70, 833
W. Wedig, Pitchfork and Hopf bifurcations in stochastic systems—effective methods to calculate Lyapunov exponents, in: P. Krée and W. Wedig (Eds.), Effective Stochastic Analysis, to appear.
Weidenhammer, 1969, Biegeschwingungen des Stabes unter axial pulsierender Zufallslast, VDI-Ber., 135, 101
Fürstenberg, 1960, Products of random matrices, Ann. Math. Statist., 31, 457, 10.1214/aoms/1177705909
Wedig, 1989, Vom Chaos zur Ordnung, GAMM-Mitt., 2, 3