Abstract: Based on the principle of entanglement chaotic system,a kind of entanglement chaotic system with sinusoidal entanglement term is constructed.The dynamic characteristics of the system,including Lyapunov exponent (LE),bifurcation diagram and power spectrum,are analyzed by MATLAB software.In order to verify the feasibility of the circuit principle,experiments were carried out based on the Multisim circuit simulation software,and the operability of the circuit principle was proved.Finally,the chaotic sequence generated by the system is combined with DNA algorithm to encrypt the image,and the encryption is realized in the sensitive parameter range.The information entropy of the encrypted image is as high as 7.993,the histogram of gray scale is uniform,the correlation between adjacent pixels is low,and the correlation coefficient approaches 0,which shows that the security of the entangled chaotic system is good,the field of image encryption has high application value and high security performance.

Key words: entangled chaotic system, image encryption, dynamics