Stability Analysis Of The Periodic Solutions Of A Rayleigh Equation:- Mbah, Tochukwu P

Abstract In this work stability analysis of periodic solutions of Rayleigh equation was investigated using Lyapunov second method. The solution was found to be periodic by representing the system in matrix form and finding the roots of the auxiliary equation. The results obtained show that two equilibrium points were obtained in which one ofthem is unstable and other one is asymptomatically stable. Jupiter notebook was used to demonstrate the numerical behavior ofthe system extending the other known results in literature.