References
Wedig W (1988) Lyapunov exponent of stochastic systems and related bifurcation problems. In: Ariaratnam TS, Schuëller IG, Elishakoff I (eds). Stochastic structural dynamics progress in theory and applications. Elsevier, New York, pp 315–327
Arnold L, Doyle MM, Sri Namachchivaya N (1997) Small noise expansion of moment Lyapunov exponents for two-dimensional systems. Dyn Stability Syst 12(3):187–211
Khasminskii RZ, Moshchuk N (1998) Moment Lyapunov exponents and stability index for linear conservative system with small random perturbation. SIAM J Appl Math 58(1):245–256
Xie W-C (2001) Moment Lyapunov exponents of a two-dimensional system under real noise excitation. J Sound Vibration 239(1):139–155
Pavlović R, Kozić P, Mitić S (2004) Influence of transverse shear on stochastic instability of the elastic Beam. Meccanica 39:407–414
Ariaratnam TS, Xie W-C (1993) Lyapunov exponents and stochastic stability of two-dimensional parametrically excited random systems. ASME J Appl Mech 60(3):667–682
Xie W-C (2005) Monte–Carlo simulation of moment Lyapunov exponents. ASME J Appl Mech 72: 269–275
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Kozić, P., Pavlović, R. & Rajković, P. Moment Lyapunov exponents and stochastic stability of a parametrically excited oscillator. Meccanica 42, 323–330 (2007). https://doi.org/10.1007/s11012-007-9057-7
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DOI: https://doi.org/10.1007/s11012-007-9057-7