Qualitative Properties Of Solutions Of Ordinary Differential Equations And Dynamical Systems
Associate Professor / Reader
Mathematics
At the Mathematics department office
Appointment on Visitation important
Topic: Qualitative Study Of Solutions Of Certain Third Order Nonlinear Matrix Differential Equations
Description: My research interest is on the qualitative properties of solutions of ordinary differential equations and dynamical systems analysis.
# | Certificate | School | Year |
---|---|---|---|
1. | Ph.D (Mathematics) | Department of Mathematics, Federal University of Agriculture, Abeokuta, Ogun State. Nigeria. | 2015 |
Stability and Boundedness Analysis of a System of two Coupled Circuits With External Conductive Connections
Introduction:
The study presents the qualitative study of parametric system of two coupled circuits. Stability
problem analysis is very important and applicable in system of coupled circuits. Instability can
occur in a coupled circuit where large and excessive output current is supplied into a load.
Unless the power supply is well regulated and bypassed, the unstable circuit can cause chaos and damage to electrical or electronic systems. To overcome this problem, the parametric system of two coupled circuits is thus reduced to a stability problem and then using Lyapunov theorem to analyse the local stability property of the parametric system of two coupled circuits.
Aim:
Applying the Lyapunov theorem, we provide conditions that ensure the stability and boundedness of the state variables describing the parametric system of two coupled circuits considered.
Methodology:
Lyapunov method lies in constructing a scalar function V(x). If for a given system, one is able to find a function V(x) such that it is positive definite except at x = 0 where it is zero and its derivative V_ (x) along the trajectory is negative semi-definite except at x = 0 where it is zero. When these properties of V(x) and V_ (x) are shown to be satisfied then the behaviors of the system are known.
Contribution to Knowledge:
The former result to be obtained will ensure the stability of the state
variables without the external conductive connection i.e (natural process) while the latter result will ensure the boundedness or the controlled stability of the state variables with external conductive connections.
OLUTIMO AKINWALE is a Associate Professor / Reader at the Department of Mathematics
OLUTIMO has a Ph.D in Mathematics from Department of Mathematics, Federal University of Agriculture, Abeokuta, Ogun State. Nigeria.