Autonomous Dynamical Systems and Stability Analysis

Tadesse, Akele

dc.contributor.author	Tadesse, Akele
dc.date.accessioned	2026-08-26T08:00:00Z
dc.date.available	2026-08-26T08:00:00Z
dc.date.issued	2024-09
dc.identifier.uri	http://ir.bdu.edu.et/handle/123456789/17077
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, liberalization, and bifurcation analysis.The results indicate that the proposed methods provide effective tools for predicting system behavior and ensuring stability and some real-life applications including electric circuits, damped pendulous and Lotta-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 Analysis	en_US
dc.type	Thesis	en_US