Chaotic period-doubling and OGY control for the forced Duffing equation

2012-04-01
Akhmet, Marat
Fen, M. O.
In this paper we consider the Duffing equation forced with a pulse function, whose moments of discontinuity depend on the initial data. Existence of the chaos through period-doubling cascade is proved, and the OGY control method is used to stabilize the periodic solutions. Appropriate simulations of the chaos and stabilized periodic solutions are presented.