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Turkish Journal of Mathematics

Abstract

Recently we introduced the concept of Poincaré 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.

DOI

10.3906/mat-1603-51

Keywords

Poincaré chaos, unpredictable function, Poisson stability, Bebutov dynamical system, quasilinear differential equation, chaos control

First Page

254

Last Page

266

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Mathematics Commons

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