An Introduction to Digital Chaotic Systems Updated by Random Iterations

Design of Pseudo-random Sequence Generator based on Three-dimensional Discrete Chaotic System

“…Chaotic systems have different classifications, which can be divided into continuous chaotic systems and discrete chaotic systems according to the relationship of time sequence, and the continuous chaotic systems can be changed into discrete chaotic systems by first discretization [4]; compared with the continuous chaotic systems, the discrete chaotic systems and pseudo-random sequences generators can be better adapted to each other. However, due to the finite word length effect in computers, the chaotic properties of chaotic systems will be gradually degraded, the effect of which is that the chaotic sequences will be short-periodic and multi-periodic, and the degraded chaotic systems are called digitized chaotic systems [5][6][7][8]. Chaotic systems can also be divided into highdimensional chaotic systems and low-dimensional chaotic systems through dimensionality [9], at present, the commonly used low-dimensional chaotic systems are Logistic mapping [10], Henon mapping [11] and so on, and experiments [5] show that the low-dimensional chaotic system has a more serious degradation of chaotic characteristics, which can be improved in terms of dimensionality of one-dimensional Logistic chaotic system, and coupling to achieve the final chaotic system is called digital chaotic system [5][6][7][8].…”

“…However, due to the finite word length effect in computers, the chaotic properties of chaotic systems will be gradually degraded, the effect of which is that the chaotic sequences will be short-periodic and multi-periodic, and the degraded chaotic systems are called digitized chaotic systems [5][6][7][8]. Chaotic systems can also be divided into highdimensional chaotic systems and low-dimensional chaotic systems through dimensionality [9], at present, the commonly used low-dimensional chaotic systems are Logistic mapping [10], Henon mapping [11] and so on, and experiments [5] show that the low-dimensional chaotic system has a more serious degradation of chaotic characteristics, which can be improved in terms of dimensionality of one-dimensional Logistic chaotic system, and coupling to achieve the final chaotic system is called digital chaotic system [5][6][7][8]. The onedimensional Logistic chaotic system can be improved in terms of dimensionality, and the final improvement can be achieved by coupling, and a new three-dimensional discrete chaotic system can be constructed in the end.…”