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arxiv: 1006.4753 · v1 · submitted 2010-06-24 · 🌊 nlin.CD

Chaos of the logistic equation with piecewise constant argument

classification 🌊 nlin.CD
keywords chaosequationargumentconstantlogisticpiecewisebasicbehavior
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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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