Articles | Volume 14, issue 2
https://doi.org/10.5194/ms-14-545-2023
© Author(s) 2023. This work is distributed under the Creative Commons Attribution 4.0 License.
Research article
| 
13 Dec 2023
Research article |
| 13 Dec 2023
| 13 Dec 2023
Stochastic stability and the moment Lyapunov exponent for a gyro-pendulum system driven by a bounded noise
Related subject area
Subject: Dynamics and Control | Techniques and Approaches: Reliability and Probability Analysis
Cited articles
Arnold, L.: A formula connecting sample and moment stability of linear stochastic systems, SIAM J. Appl. Math., 44, 793–802, http://www.jstor.org/stable/2101254 (last access: 30 November 2023), 1984.
Arnold, L., Kliemann, W., and Oejeklaus, E.: Lyapunov exponents of linear stochastic systems, in: Lecture Notes in Mathematics, edited by: Arnold, L. and Wihstutz, V., Springer, Berlin, Heidelberg, 1186, 85–125, https://doi.org/10.1007/BFb0076835, 1986a.
Arnold, L., Oeljeklaus, E., and Pardoux, E.: Almost sure and moment stability for linear ito equations, in: Lecture Notes in Mathematics, edited by: Arnold, L. and Wihstutz, V., Springer, Berlin, Heidelberg, 1186, 129–159, https://doi.org/10.1007/BFb0076837, 1986b.
Arnold, L., Doyle, M., and Namachchivaya, N. S.: Small noise expansion of moment Lyapunov exponents for two dimensional systems, Dynam. Stabil. Syst., 12, 187–211, https://doi.org/10.1080/02681119708806244, 1997.
Asokanthan, S. F. and Ariaratnam, S. T.: Almost-sure stability of a gyopendulum subjected to white-noise random support motion, J. Sound Vib., 235, 801812, https://doi.org/10.1006/jsvi.2000.2951, 2000.
