Abstract:

In this paper,a 1 D linear wave equation with linear or nonlinear boundary conditions is taken into account.A bo undary feedback controller is designed with a sine function,and is then used to drive an originally non-chaotic linear system chaotic.Moreover,the solution of the controlled system is an alytically expressed by the method of characteristic line.By the theory of total variation and symbol dynamic system,it is proved that the system is chaotic.Numerical simulations are finally carried out to verify the correctness of the proposed con-trolled method .

Key words: chaos control, feed back anti-control, wave equation, total variation