Control of Arneodo chaotic system
Xuedi Wang · Journal of Jiangsu University · 2005
The control of Arneodo chaotic system is discussed. It is proved that the system will reach unstable equilibrium point and periodic solution by using the stability theory of differential equation. If u_0=-5.5,u_1=3.5,u_2=1,u=-1, the chaotic system will gradually reach unstable equilibrium point when the feedback exponent k is smaller than -2.143 by the Routh-Hurwitz theory. With the Hopf theory the chaotic system will gradually approach periodic solution if the feedback exponent k satisfies -2.143k-1.444. The result was proved by simulations.