TURKISH JOURNAL OF MATHEMATICS, vol.41, no.2, pp.254-266, 2017 (Journal Indexed in SCI)
Article / Article
Title of Journal :
TURKISH JOURNAL OF MATHEMATICS
Poincare chaos, unpredictable function, Poisson stability, Bebutov dynamical system, quasilinear differential equation, chaos control, LI-YORKE CHAOS, DYNAMIC-SYSTEMS, GENERATION, SICNNS
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.