We introduce in this paper a new chaotic map with dynamical properties controlled by two free parameters. The map definition is based on the hyperbolic tangent function, so it is called the tanh map. We demonstrate that the Lyapunov exponent of the tanh map is robust, remaining practically unaltered with the variation of its parameters. As the main application, we consider a chaotic communicati...

This paper presents a general method, called “self-parameterization”, for designing one-dimensional (1-D) chaotic maps that provide wider regions compared to existing 1-D maps. A wide region is desirable property, as it helps robust performance by enlarging the design space in many hardware-security applications, including reconfigurable logic and encryption. The proposed self-parameterization ...

In this paper, we prove the existence of a chaotic saddle for a piecewise-linear map of the plane, referred to as the Lozi map. We study the Lozi map in its orientation and area preserving version. First, we consider the autonomous version of the Lozi map to which we apply the Conley–Moser conditions to obtain the proof of a chaotic saddle. Then we generalize the Lozi map on a nonautonomous ver...

The Baptista cryptosystem uses the logistic map to generate chaotic sequence. The encryption process of a given plaintext character consists of iterating the chaotic map until the state reaches the subinterval assigned to that symbol. The cipher text corresponding to the plaintext symbol is the number of iterations in the chaotic map. We propose a method to enhance the security and compression ...

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 ...

Slow feature analysis (SFA) is a new technique for extracting slowly varying features from a quickly varying signal. It is shown here that SFA can be applied to nonstationary time series to estimate a single underlying driving force with high accuracy up to a constant offset and a factor. Examples with a tent map and a logistic map illustrate the performance.

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...

In this paper, we propose an image encryption scheme based on the development of a Hénon chaotic map using fractional Fourier transform (FRFT) which is introduced in order to satisfy the necessity of high secure image transfer. This proposed algorithm combines the main advantages of fractional Fourier transform domain (FRFT), chaotic Arnold cat map encryption algorithm for confusion and our pro...

Sensitive information of any multimedia must be encrypted before transmission. The dual chaotic algorithm is a good option to encrypt sensitive by using different parameters and initial conditions for two maps. A framework creates complex trajectory prevent the illegal use from eavesdroppers. Limited precisions single map cause degradation in dynamical behavior communication system. To overcome...