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On chaotic set-valued discrete dynamical systems. (English) Zbl 1079.37021

The author shows some connections between the chaoticity of a discrete dynamical system and the chaoticity of several set-valued discrete dynamical systems associated to it. He indicates that this kind of investigation should be useful in the study of every phenomenon in which one wants to understand the relationships between the dynamics of individual movement and the dynamics of collective movements.

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
39A99 Difference equations
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