In recent years the synchronization of a chaotic response system with a chaotic drive system has attracted great interest in nonlinear science and engineering, due to the potential applications in chaos-based communications. This paper focuses on a new approach to achieve synchronization between two chaotic (hyperchaotic) maps with different dimensions. In particular, given a drive system map w...

Secure communication is a matter of genuine concern that includes means whereby entities can share information without a third party’s interception. Key agreement protocols are one of the common approaches in which two or more parties can agree upon a key, which precludes undesired third parties from forcing a key choice on them. Over the past decade, chaos-based key agreement protocols have be...

In this paper a new approach for RGB image encryption is based on a blend of 2D chaotic maps. Chaotic Henon map, chaotic Burger map and chaotic Gingerbreadman map is used in order to meet up the requirements of the protected image transmission. The proposed image encryption scheme is composed of two Transformation processes and two substitution processes. Different statistical methods, such as ...

A new pseudo-random number generator (PRNG) is proposed. The principle of the method consists in mixing chaotic maps produced from an input initial vector. The algorithm uses permutations whose positions are computed and indexed by a chaotic function based on linear congruences. The performance of this scheme is evaluated through statistical analysis. Such a cryptosystem lets appear significant...

Let ρ(x, t) denote a family of probability density functions parameterized by time t. We show the existence of a family {τt : t > 0} of deterministic nonlinear (chaotic) point transformations whose invariant probability density functions are precisely ρ(x, t). In particular, we are interested in the densities that arise from the diffusions. We derive a partial differential equation whose soluti...

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Hierarchy of one and many-parameter families of random trigonometric chaotic maps and one-parameter random elliptic chaotic maps of cn type with an invariant measure have been introduced. Using the invariant measure (Sinai-Ruelle-Bowen measure), the Kolmogrov-Sinai entropy of the random chaotic maps have been calculated analytically, where the numerical simulations support the results .

This paper presents an efficient block-wise image encryption method based on multiple chaotic maps. The image is divided into four overlapping blocks and each block is permutated with Cat map and its parameters are controlled by Henon map using multiple keys. Due to overlapping division of blocks, it produces effect of double permutation in the middle portion of overlapped image in single permu...

Image encryption is one of the most common and important method of image data encryption. Image encryption deals with applying image encryption algorithms to the sending image and convert it into cipherimage, and only authorized person can decrypt the cipher-image to gent the original image, this done using secret key(s). There are big numbers of encryption techniques including chaos-based sche...

Fix a nontrivial interval X C R and let / e C1(X,X) be a chaotic mapping. We denote by Aoo (/) the set of points whose orbits do not converge to a (one-sided) asymptotically stable periodic orbit of / or to a subset of the absorbing boundary of X for /. A. We assume that / satisfies the following conditions: (1) the set of asymptotically stable periodic points for / is compact (an empty set is ...