TY - JOUR AU - Waisi Salih, Hero AU - Abdul Aziz, Zainal PY - 2013/06/01 Y2 - 2024/03/29 TI - Computation of Lyapunov Quantities of Homogeneous Quartic Polynomial System JF - MATEMATIKA JA - MATEMATIKA VL - 29 IS - SE - Mathematics DO - 10.11113/matematika.v29.n.580 UR - https://matematika.utm.my/index.php/matematika/article/view/580 SP - 73-83 AB - 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. 2010 Mathematics Subject Classification: 34C07; 34D08 ER -