Unpredictable points and chaos

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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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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.