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离散时间动态系统Ｌｏｇｉｓｔｉｃ在一定参数范围内可以产生混沌运动，且其产生的混沌序列具有良好的伪随机特性．利用该系统产生的混沌序列对彩色图象进行加密和解密，在加密后的图象上，不存在原图中任何景物和轮廓；解密后的图象与原图完全一样．同时，通过比较，发现混沌序列对图象加密的效果优于周期序列．
The discrete-time dynamic system Logistic can produce chaotic motion within a certain parameter range, and its chaotic sequence has good pseudo-random characteristics. The chaotic sequence generated by the system is used to encrypt and decrypt the color image. There is no scene and contour in the original image in the encrypted image. The decrypted image is exactly the same as the original image. At the same time, it is found that chaotic sequence is better than periodic sequence in image encryption.