Unpredictable Points and Chaos
arXiv:1602.00315 · doi:10.1016/j.cnsns.2016.04.007
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.
9 pages
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