Title of article :
Computation of Lyapunov Quantities of Homogeneous Quartic Polynomial System
Author/Authors :
Salih, Hero Waisi Universiti Teknologi Malaysia - Faculty of Science - Department of Mathematical Sciences, Malaysia , Abdul Aziz, Zainal University Teknologi Malaysia - Faculty of Science - Department of Mathematics, Malaysia
Abstract :
The analysis of system behaviour near boundary of the stability domain requires the computation of Lyapunov quantities which determine a system behaviour in the neighbourhood of boundary This paper presents the computation of Lyapunov quantities and focal values of a homogeneous quartic polynomial system by using the Lyapunov-Poincare method where the polynomials are of degree four. The proposed two main theorems were proved to accomplish this goal.
Keywords :
Lyapunov quantities , focal values , Lyapunov , Poincare method , quartic polynomial system
Journal title :
Matematika
Journal title :
Matematika
