Unpredictable points and chaos

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2016-11-01
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.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

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Citation Formats
M. Akhmet, “Unpredictable points and chaos,” COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, pp. 1–5, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39860.