2019年8月5日，数据恢复四川省重点实验室吴国成老师团队在《Chaos》（IF=2.643，SCI二区）杂志发表题为《New variable-order fractional chaotic systems for fast image encryption》的研究论文，加密速度和安全是信息加密技术的核心问题。现代数据常体现出数据量大、维度高的特点，目前该领域研究现状总体为加密速度快，但安全性不高；或者加密安全性高，但速度不快。围绕加密速度和安全是信息加密技术的核心问题，该文首次提出了短记忆、变分数阶方程的概念，并研究了混沌动力学理论，实现了快速、安全加密。
Abstract: New variable-order fractional chaotic systems are proposed in this paper. A concept of short memory is introduced where the initial point in the Caputo derivative is varied. The fractional order is defined by the use of a piecewise constant function which leads to rich chaotic dynamics. The predictor–corrector method is adopted, and numerical solutions of fractional delay equations are obtained. Then, this concept is extended to fractional difference equations, and generalized chaotic behaviors are discussed numerically. Finally, the new fractional chaotic models are applied to block image encryption and each block has a different fractional order. The new chaotic system improves security of the image encryption and saves the encryption time greatly.