Chaos of the logistic equation with piecewise constant argument

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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Scientific paper

We consider the logistic equation with different types of the piecewise
constant argument. It is proved that the equation generates chaos and
intermittency. Li-Yorke chaos is obtained as well as the chaos through
period-doubling route. Basic plots are presented to show the complexity of the
behavior.

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