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arxiv: 1602.00315 · v1 · pith:JWMLPHOEnew · submitted 2016-01-31 · 🧮 math.DS · nlin.CD

Unpredictable Points and Chaos

classification 🧮 math.DS nlin.CD
keywords chaospointunpredictablecalldefinitionsdescriptiondynamicsexemplified
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It is revealed that a special kind of Poisson stable point, which we call an unpredictable point, gives rise to the existence of chaos in the quasi-minimal set. The existing definitions of chaos are formulated in sets of motions. This is the first time that description of chaos is initiated from a single motion. The theoretical results are exemplified by means of the symbolic dynamics.

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