Existence of unpredictable solutions and chaos
Authors : Marat Akhmet, Mehmet Onur Fen
Pages : 254-266
View : 9 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Poincaré chaos, unpredictable function, Poisson stability, Bebutov dynamical system, quasilinear differential equation, chaos control