In the last few decades, dynamics of one-dimensional chaotic maps have gained tremendous attention scientists and scholars due to their remarkable properties such as period-doubling, evolution, Lyapunov exponent, etc. The term hyperbolicity, another important property is used examine regular irregular behavior dynamical systems. this article, we deal with hyperbolicity stabilization fixed state...

Integral imaging-based cryptographic algorithms provides a new way to design secure and robust image encryption schemes. In this paper, we introduce a performance-enhanced image encryption schemes based on depth-conversion integral imaging and chaotic maps, aiming to meet the requirements of secure image transmission. First, the input image is decomposed into an elemental image array (EIA) by u...

The color-flavor transformation is a mathematical result that has applications to problems as diverse as lattice gauge theory, random network models, and dynamical systems. Several variants are described, and an outline of the proof is given. It is then shown how to use the transformation to set up a field theoretic formalism for quantum chaotic maps.

—Many key agreement protocols based on chaotic maps have been proposed to guarantee secure communications in the network. Recently, Wang et al. proposed a new key agreement protocol based on chaotic maps. But some issues exist in this protocol, such as anonymity, key distribution and management, and password problems. In order to improve the performance of Wang et al.’s protocol, this paper pr...