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.
AKHMET, MARAT and FEN, MEHMET ONUR
"Existence of unpredictable solutions and chaos,"
Turkish Journal of Mathematics: Vol. 41:
2, Article 4.
Available at: https://journals.tubitak.gov.tr/math/vol41/iss2/4