Controlling Chaos on the Logistic Map
Consider the logistic map given by[more]
, where .
One method available to control the chaos in this one-dimensional system consists of applying periodic proportional pulses once every iterations ( when ). The number of fixed points is equal to . For a specific choice of , there are only a few values of that stabilize the logistic map. These ranges are restricted to , where .[less]
S. Lynch, Dynamical Systems with Applications Using Mathematica, Boston: Birkhäuser, 2007.