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Unpredictable points and chaos
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DOI：10.1016/j.cnsns.2016.04.007.png)
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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 in the literature that description of chaos is initiated from a single motion. The theoretical results are exemplified by means of the symbolic dynamics. (C) 2016 Elsevier B.V. All rights reserved.
Keyword:
Unpredictable point
Poincarechaos
Quasi-minimal set
Symbolic dynamics
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