The Influence of Circulatory Forces on the Stability of Undamped Gyroscopic Systems
Ubong D. Akpan *
Department of Mathematics, Akwa Ibom State University, Mkpat Enin, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
In this paper, the effects of circulatory forces on undamped gyroscopic systems have been studied. The stability or otherwise of arising MGKN systems have been analysed using eigenvalue method and Lyapunov method. Bottema-Lakhadanov-Karapetyan theorem is also employed to further analyze the systems. Examples are given to illustrate the use of these methods in determining the stability or otherwise of undamped gyroscopic circulatory systems.
Keywords: Asymptotic stability, circulatory forces, stability, undamped gyroscopic system