The dynamics of coupled 2D chaotic maps with time-delay on a scalefree-tree is studied, with different types of the collective behaviors already been reported for various values of coupling strength [1]. In this work we focus on the dynamics’ time-evolution at the coupling strength of the stability threshold and examine the properties of the regularization process. The time-scales involved in t...

Chaotic maps can mimic random behavior in a quite impressive way. In particular, those possessing a generating partition can produce any symbolic sequence by properly choosing the initial state. We study in this letter the ability of chaotic maps to generate order patterns and come to the conclusion that their performance in this respect falls short of expectations. This result reveals some bas...

The applications of digital chaotic maps in discrete-time chaotic cryptography and pseudo-random coding are widely studied recently. However, the statistical properties of digital chaotic maps are rather different from the continuous ones, which impedes the theoretical analyses of the digital chaotic ciphers and pseudo-random coding. This paper detailedly investigates the statistical properties...

in this paper we review some recent ideas of synchronization theory. we apply this theory to study the different synchronization aspects of uni-directionally coupled pair of chaotic one-dimensional gaussian maps.

A new chaotic map based IP (Intellectual Property) watermarking scheme at physical design level is presented. An encrypted watermark is embedded into the physical layout of a circuit by configuring LUT (Lookup Table) as specific functions when it is placed and routed onto the FPGA (Field-Programmable Gate Array). The main contribution is the use of multiple chaotic maps in the processes of wate...

Nowadays, the overwhelming majority of password-authenticated key agreement protocols using chaotic maps are based on three architectures (client/server, two clients/server and multi-server) and four security models (heuristic security, random oracle, ideal cipher and standard model). However, with rapid changes in the modern communication environment such as wireless mesh networks and cloud st...

In this paper, the general concept of multidimensional discrete maps is presented. Moreover, new and fundamental results show invariance bifurcation points from periodic to chaotic behavior. Numerical examples regarding cases logistic map, complex-valued Ikeda multivariable Henon map are reported.

In this paper we review some recent ideas of synchronization theory. We apply this theory to study the different synchronization aspects of uni-directionally coupled pair of chaotic one-dimensional Gaussian maps.

Abstract In this paper we propose a multi-map orbit hopping chaotic stream cipher that utilizes the idea of spread spectrum mechanism for secure digital communications and fundamental chaos characteristics of mixing, unpredictable, and extremely sensitive to initial conditions. The design, key and subkeys, and detail implementation of the system are addressed. A variable number of well studied ...

Coupled Map Lattice (CML) usually serves as a pseudo-random number generator for encrypting digital images. Based on our analysis, the existing CML-based systems still suffer from problems like limited parameter space and local chaotic behavior. In this paper, we propose novel intermittent jumping CML system based multiple maps. The mechanism seeks to incorporate multi-chaos, dynamically switch...