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

How to Cite

Waisi Salih, H., & Abdul Aziz, Z. (2013). Computation of Lyapunov Quantities of Homogeneous Quartic Polynomial System. MATEMATIKA, 29, 73–83. https://doi.org/10.11113/matematika.v29.n.580

Issue

Volume 29 (June 2013)

Section

Mathematics

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.