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Chaos and topological conjugation of generalized discrete dynamical system

机译:广义离散动力系统的混沌与拓扑共轭

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In this paper, by introducing several new concepts, Chaos and topological conjugation of generalized discrete dynamical system are discussed. We show that generalized discrete dynamical system has similar properties as in the case of classical discrete dynamical system. Moreover, we provide a sufficient condition for chaos in the sense of modified Devaney of generalized discrete dynamical system. These results further extend the scope of the research on discrete dynamical system and generalize the existing results to a very general case.
机译:本文通过介绍几个新概念,讨论了广义离散动力系统的混沌和拓扑共轭问题。我们证明了广义离散动力系统具有与经典离散动力系统相似的特性。而且,从广义离散动力系统的修正Devaney的意义上说,我们为混沌提供了充分的条件。这些结果进一步扩展了离散动力系统研究的范围,并将现有结果推广到非常普遍的情况。

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