Unpredictable points and chaos

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Date

2016-11-01

Author

Akhmet, Marat
Fen, Mehmet Onur

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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.

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