Construction and Performance Analysis of Combinatorial Chaotic Map Based on Fuzzy Entropy

In order to solve the problems of simple chaotic behavior, poor initial value sensitivity corresponding to the traditional one-dimensional chaotic maps, a one-dimensional combined chaotic map based on fuzzy entropy theory is proposed. The designed combinatorial chaotic map combines the definition of fuzzy entropy and the classical one-dimensional chaotic map, and can effectively improve the performance of the combinatorial chaotic maps by extending the system parameters. Through the experimental simulation and analysis of the bifurcation diagram, Lyapunov exponent, initial value sensitivity and other related properties of the combined chaotic map, the experimental results show that the combined chaotic map constructed in this paper has good chaotic properties such as initial value sensitivity and randomness.