... to investigate the accuracy and effectiveness of the proposed method, and the effects of influencing parameters such as the number of sampled data, sampling rate, sensor numbers, and measurement noise are studied. 10 06 2010 17 10 2010 02 03 2011 13 04 2011 13 04 2011 noise...

... . Sri Namachchivaya , N. , and Van Roessel , H. J. , 1993 , “ Maximal Lyapunov Exponent and Rotation Numbers for Two Coupled Oscillators Driven by Real Noise ,” J. Stat. Phys. 0022-4715 , 71 ( 3–4 ), pp. 549 – 567 . 10.1007/BF01058437 Doyle , M. M. , and Sri Namachchivaya , N...

...Jinyu Zhu; W.-C. Xie; Ronald M. C. So; X. Q. Wang The dynamic stability of a two degrees-of-freedom system under bounded noise excitation with a narrowband characteristic is studied through the determination of moment Lyapunov exponents. The partial differential eigenvalue problem governing...

...Qinghua Huang; Wei-Chau Xie The moment Lyapunov exponents of a single degree-of-freedom viscoelastic system under the excitation of a wideband noise are studied in this paper. A realistic example of such a system is the transverse vibration of a viscoelastic column under the excitation...

... approach for the determination of the p th moment Lyapunov exponents, for all values of p , is presented. The approach is illustrated through a two-dimensional system under bounded noise or real noise parametric excitation. Series expansions of the eigenfunctions using orthogonal functions are employed...

...N. Sri Namachchivaya; H. J. Van Roessel In a recent paper an asymptotic approximation for the moment Lyapunov exponent, g p , of two coupled oscillators driven by a small intensity real noise was obtained. The utility of that result is limited by the fact that it was obtained under the assumption...