Computation of Lyapunov Quantities of Homogeneous Quartic Polynomial System

Authors

  • Hero Waisi Salih
  • Zainal Abdul Aziz

DOI:

https://doi.org/10.11113/matematika.v29.n.580

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. 2010 Mathematics Subject Classification: 34C07; 34D08

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Published

01-06-2013

Issue

Volume 29 (June 2013)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Computation of Lyapunov Quantities of Homogeneous Quartic Polynomial System. (2013). MATEMATIKA, 29, 73-83. https://doi.org/10.11113/matematika.v29.n.580