A new chaotic system with chaos entanglement

In this paper, a new chaotic system is proposed by using chaos entanglement method. Chaos entanglement method is based on obtaining the new chaotic systems adding some nonlinear elements to sub-equations of a third order linear system. It is shown from analysis of the new system that it produces a rich chaotic behavior sequence. Furthermore, the proposed chaotic system is controlled by a simple constant controller and its chaotic behavior is converted to periodic or stable behaviours. The analysis results are confirmed by the figures.