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

作者：Zhang, Liang^*; Tang, Jiashi; Ouyang, Kejian

来源：Optik, 2017, 130: 1327-1332.

DOI：10.1016/j.ijleo.2016.11.142

• Anti-control
• Period doubling bifurcation
• Period-2 point
• Variable substitution model
• Logistic map

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.

• 出版日期2017
• 单位湖南大学