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Unpredictable points and chaos
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Date
2016-11-01
Author
Akhmet, Marat
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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.
Subject Keywords
Unpredictable point
,
Poincarechaos
,
Quasi-minimal set
,
Symbolic dynamics
URI
https://hdl.handle.net/11511/39860
Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
DOI
https://doi.org/10.1016/j.cnsns.2016.04.007
Collections
Department of Mathematics, Article
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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.