Autonomous Dynamical Systems and Stability Analysi

Tadesse, Akele Alemu

dc.contributor.author	Tadesse, Akele Alemu
dc.date.accessioned	2024-11-20T07:29:11Z
dc.date.available	2024-11-20T07:29:11Z
dc.date.issued	2024-09
dc.identifier.uri	http://ir.bdu.edu.et/handle/123456789/16224
dc.description.abstract	This project report is to explore the behavior and stability of autonomous dynamical systems, focusing on their theoretical and practical applications. The primary objective of this study is to analyze the stability properties and to develop methods for assessing their robustness against perturbations.The project involves the fundamental concepts in dynamical systems theory, including equilibrium points, Jacobean matrix, Lyapunov’s direct method, linearization, and bifurcation analysis.The results indicate that the proposed methods provide effective tools for predicting systm behavior and ensuring stability and some real-life applications including electric circuts, damped pendules and Lotka-Volterra or predator-prey equations, were covered thoroughly	en_US
dc.language.iso	en_US	en_US
dc.subject	Mathematics →	en_US
dc.title	Autonomous Dynamical Systems and Stability Analysi	en_US
dc.type	Thesis	en_US