This paper designed a new extended chaotic map-based Identity-based encryption (ECM-IBE) scheme and Identitybased digital signature (ECM-IDS) scheme using extended chaotic maps. The security of the ECM-IBE scheme is based on the hardness assumption of chaotic maps-based decisional DiffieHellman (CDDH) problem, whereas the ECM-IDS scheme is secure based on the difficulties of chaotic maps-based ...

This paper discuss the utilization of the complex chaotic dynamics given by the selected time-continuous chaotic systems as well as by the discrete chaotic maps, as the chaotic pseudo random number generators and driving maps for the chaos based optimization. Such an optimization concept is utilizing direct output iterations of chaotic system transferred into the required numerical range or it ...

A chaotic map has various features. A chaotic map has sensitivity to a change in initial conditions and parameters, and a long-term forecast becomes impossible by the iterations of a chaotic map. These features looks similar to the properties of the cryptology. For that reason, it is effective to use chaotic maps for cryptosystems. The chaotic cryptosystem is researched as an application of cha...

this paper presents a review of Image cryptography techniques based on chaotic maps. The chaotic cryptography is gaining more attention than others because of its lower mathematical complexity & better Security. It also avoids the data spreading hence reduces the transmission cost & delay. The digital image cryptography which is based on chaotic systems utilizes the discrete non-linear system d...

Complex dynamics of chaotic maps under an infinite-precision mathematical framework have been well known. The case in a finite-precision computer remains to be further explored. Previous work treated a digital chaotic map as a black box and gave different explanations according to the test results of the output. Using the Logistic map as a typical example, we disclose some dynamical properties ...

In recent years, there has been growing interesting in image encryption based on chaotic maps and wavelet transform. In this paper, a novel scheme for image encryption based on chaotic maps and reversible integer wavelet transform is proposed. Firstly, the cipher key which is related to plain-image is used to generate different parameters and initial values of chaotic maps. Then the plain-image...

In this work, we only use data on the unstable manifold to locate partition boundaries by checking folding points at different levels, which practically coincide with homoclinic tangencies. The method is then applied classic two-dimensional Hénon map and a well-known three-dimensional map. Comparison previous results made in case, Lyapunov exponents are computed through metric entropy based sho...

GENERAL COMMENTARY article Front. Phys., 06 December 2022Sec. Interdisciplinary Physics Volume 10 - 2022 | https://doi.org/10.3389/fphy.2022.1094240