Journal of Engineering Research
Abstract
Stability analysis, due to its importance in dynamic analysis of appliedsystems, becomes very widely topic in real-world problems associated with significant effects in all applications of engineering and appliedsciences. Several contributions have been done by various authors onstability analysis of autonomous and non-autonomous systems to obtain interesting and attractive results. In these aforementioned works, and sofar, the Lyapunov methods (first and second) become the main nerve togive suitable criteria that guaranteed the stability of the dynamicalsystems,In this article, it is aimed to look for a semi-analytical relation between the eigenvalue and the order of generalized Bessel differential equation using the asymptotic iteration and perturbation methods for the periodic domain. Based on the analytical results, the stability chart between the eigenvalue and the order of theequation is constructed. Accordingly, through the path of verification and investigation by using the numerical results with Fourier spectral method, a strong fit with the analytical results is observed.
Recommended Citation
Elborhamy, Mohamed
(2023)
"Stability Chart of Generalized Bessel Equation,"
Journal of Engineering Research: Vol. 7:
Iss.
3, Article 50.
Available at:
https://digitalcommons.aaru.edu.jo/erjeng/vol7/iss3/50