Existence of unpredictable solutions and chaos

Date

2017-01-01

Author

Akhmet, Marat

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Recently we introduced the concept of Poincare chaos. In the present paper, by means of the Bebutov dynamical system, an unpredictable solution is considered as a generator of the chaos in a quasilinear system. The results can be easily extended to different types of differential equations. An example of an unpredictable function is provided. A proper irregular behavior in coupled Duffing equations is observed through simulations.

Subject Keywords

Acid, Behavior, Adsorption, Fabrication, Complexation, Poly(4-vinylpyridine), Salt, Capsule, Film thickness, Polyelectrolyte multilayers, Chaos control, Quasilinear differential equation, Bebutov dynamical system, Poisson stability, Unpredictable function, Poincare chaos

URI

https://hdl.handle.net/11511/41152

Journal

TURKISH JOURNAL OF MATHEMATICS

DOI

https://doi.org/10.3906/mat-1603-51

Collections

Department of Mathematics, Article

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Citation Formats

M. Akhmet, “Existence of unpredictable solutions and chaos,” TURKISH JOURNAL OF MATHEMATICS, pp. 254–266, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41152.