On the Analysis of Stability, Bifurcation, Chaos and Chaos Control of Kopel Map

✍ Scribed by H.N. Agiza

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 335 KB
• Volume: 10
• Category: Article
• ISSN: 0960-0779
• DOI: 10.1016/s0960-0779(98)00210-0

✦ Synopsis

A dynamical system of two nonlinear di}erence equations introduced by Kopel is studied "Kopel\ M[\ Simple and complex adjustment dynamics in Cournot Duopoly model\ Chaos\ Solitons and Fractals\ 0885\ 6"01#\ 1920Ð1937[#[ In this study\ we determine conditions for the stability of the _xed points and we study the bifurcations and chaos "Devany\ R[ L[\ Introduction to Chaotic Dynamical Systems[ AddisonÐWesley\ New York\ 0878[# by computing the maximum Laypunov exponents "Luhta\ I[ and Virtanen\ I[\ Chaos\ Solitons and Fractals\ 0885\ 6\ 1972[#[ The OGY chaos control formula is used to control chaos in this system[ Þ 0888 Elsevier Science Ltd[ All rights reserved[