Tee Loong Soon, Zabidin Salleh
HELP Matriculation Centre
HELP University
Kompleks Pejabat Damansara (KPD), Jalan Dungun,
50490, Kuala Lumpur, MALAYSIA
School of Informatics and Applied Mathematics
Universiti Malaysia Terengganu
21030, Kuala Terengganu, Terengganu, MALAYSIA

Abstract. In this paper, we conducted an extension research from [#!19!#] which was mainly on studying the dynamical behaviour such as Lyapunov exponents, bifurcation diagram, etc. of a chaotic attractor namely Zhou System. In order to understand the Zhou system more depth, we presented the analysis of the system by using Complementary-Cluster Energy-Barrier Criterion (CCEBC) and Routh-Hurwitz Criterion. Besides that, we have demonstrated the occurrence of Hopf bifurcation. The results showed that the Zhou system undergoes a supercritical Hopf bifurcation under a special condition by means of the first Lyapunov coefficient.

Received: March 19, 2015

AMS Subject Classification: 34C23, 34C28, 37M20

Key Words and Phrases: dynamical system, chaos, Zhou system, Hopf bifurcation

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