| The stability, chaos control and chaos synchronization of a new three-dimensional system is investigated in this thesis. Firstly, a new chaotic system is introduced and the stability of the proposed system under different parameters is studied via the piecewise linear system theory. Secondly, the control model about this new system is constructed, and chaos control is achieved by using the feedback control and adaptive control. Thirdly, based on feedback and coupling control, chaos control of this new system is investigated not only between two identical systems, but also between the new system and Chen's system. At last, numerical simulations are given to show the efficiency of the method proposed in this thesis. |
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