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arXiv · 1602.00315

Unpredictable Points and Chaos

Marat Akhmet·Mehmet Onur Fen
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Abstract

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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Marat Akhmet, Mehmet Onur Fen. 2016-01-31. Unpredictable Points and Chaos. https://doi.org/10.1016/j.cnsns.2016.04.007

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