2 articles for “Neimark-Sacker Bifurcation”

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Research ArticleOpen accessIn the keywordsBifurcation and Controlling Chaos in a Discrete-Time Biological SystemGuo FengThe dynamics of a discrete-time food chain model with strong pressure on preys is investigated. The types of equilibria of the system are analyzed using stability theory and bifurcation theory. The route to chaos via Neimark-Sacker bifurcation followed by period-doubling bifurcations of invariant curves is found for some parameter values through numerical simulation. Moreover, the chaos is controlled on the … …American Journal of Biochemistry and Biotechnology, Vol. 16, Issue 3 · 7 Jul 2020 · 6,681 accessesView PDF Cite

Research ArticleOpen accessIn the abstractControlling Chaos of the Ricker Population Model by OGY MethodGuo FengThe chaotic dynamics of the Ricker mapping are studied. Controlling chaos of the Ricker population model is searched by OGY control method. The dynamic behavior in the Ricker mapping is very complex in different values of a. When the value of a is changed from 0.455 to 90, the mapping goes through doubling bifurcation to Neimark-Sacker bifurcation. Several strange attractors … …American Journal of Biochemistry and Biotechnology, Vol. 16, Issue 3 · 8 Sep 2020 · 6,217 accessesView PDF Cite