A novel multi-delay feedback digital chaos anti-degradation algorithm and its application in key generator

Abstract Under conditions of finite accuracy, chaotic systems will exhibit a sequence of dynamic degradation issues. Such chaotic systems cannot be considered strictly chaotic, and their applications will be significantly impacted. A control approach is given to handle this problem, which combines parameter perturbation and multi-delay dynamic feedback. This approach utilizes a pseudo-random sequence produced by a high-performance chaotic system to disturb the parameters, then loops back the output of the previous state to the input based on its activity. Numerical studies were conducted to verify the usefulness of this enhanced technique when used in both one-dimensional and two-dimensional chaotic systems. Using a two-dimensional chaotic system as an example, it was confirmed that the enhanced digital chaotic system is extremely responsive to little variations in the starting value. Subsequently, a key generator was created, which successfully passed the NIST randomness test. The experimental results demonstrate that the enhanced digital chaotic system has favorable chaotic properties within the constraints of low precision.