Anti-control of period doubling bifurcation for a variable substitution model of Logistic map

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• 作者：Liang Zhang^a ; ^{lzhang08@163.com} ; Jiashi Tang^a ; Kejian Ouyang^b
• 关键词：Anti-control ; Period doubling bifurcation ; Period-2 point ; Variable substitution model ; Logistic map
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：130
• 期：Complete
• 页码：1327-1332
• 全文大小：1027 K
• 卷排序：130

文摘

Logistic map and its variable substitution model are the well-known period doubling bifurcation and chaos model, the control and anti-control of their bifurcation behavior are very important work. Bifurcation properties of a system can be modied by various feedback controllers. This paper discusses the anti-control of period doubling bifurcations for the one-dimensional variable substitution model of Logistic map. Using feedback control we can arbitrarily change the period-2 point, that is, create the period-2 bifurcation point in a bigger region. The control gains of anti-controlling period doubling bifurcation may be determined by the analytic method or the numerical iteration technique. New research methods and results of anti-controlling bifurcation will appear under pursuing further in this promising direction of new field.