Summary
the 2014 International Symposium on Nonlinear Theory and its Applications
2014
Session Number:C1L-A
Session:
Number:C1L-A4
Cryptographic Properties Analysis of Piecewise Logistic Map
Yong Wang, Zhaolong Liu, Peng Lei,
pp.393-396
Publication Date:2014/9/14
Online ISSN:2188-5079
Summary:
The method for constructing piecewise logistic chaotic map is proposed. The bifurcation diagram, Lyapunov exponent, density distribution and ergodicity of the piecewise logistic map is given by numeric analysis. Simulation results show that the maximum Lyapunov exponent of the piecewise logistic map become larger with the increase of the segments. The ergodicity and bifurcation of the piecewise logistic map become better when more partitions are divided. Although the piecewise logistic map still has no uniform density probability, it can be made up when iterating the piecewise logistic map with variable control parameters. Therefore, the piecewise logistic maps has better cryptographic properties than the logistic map, which is more suitable to be applied to designing chaotic encryption algorithms.