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Coupled Logistic Map: A Review and Numerical facts

This paper has a double goal, the first one is to make a slight survey of some theoretical results about the existence of positively invariant curves that allow to describe important properties of the set of bounded orbits and its boundary in the context of coupled logistic map. The second goal, in the same context, is to show a collection of figures obtained from computational simulation that reveal the complexity of that dynamical systems.