Research ArticleOpen accessEvery word in the titleBifurcation 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 PDFCite
Research ArticleOpen accessIn the keywordsApplication of Theories of Complexity and Chaos to Economic MisgovernancePartha Gangopadhyay, Nasser Elkanj, Mustafa A. RahmanProblem statement: In this study we develop a comprehensive model involving local taxes, intergovernmental transfers and bureaucratic corruption to characterize a fiscal equilibrium in order to explain the provision of local (public) expenditure in developing nations. The main goal of the research is to explain economic misgovernance as an equilibrium phenomenon, which is therefore expected to persist over time despite … …Journal of Mathematics and Statistics, Vol. 7, Issue 3 · 27 Jul 2011 · 7,375 accessesView PDFCite
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 PDFCite
Research ArticleOpen accessIn the abstractOn the Enlargement of Robust Region of Chaotic Tent Map for the Use in Key Based Substitution-Box (S-Box)Muhammad Asif Khan, Varun JeotiRobust chaotic maps with wide robust region are favored in cryptography as it extends the key length. Chaotic tent map has robust chaos for control parameter μ = 2. Perturbation of control parameter values beyond control parameter 2, results in orbit diverging towards infinity and trajectories vanish. Thus, to avoid trajectories diverging to infinity and to keep trajectories chaotic beyond … …Journal of Computer Science, Vol. 11, Issue 3 · 19 Apr 2015 · 6,934 accessesView PDFCite