a watermarking scheme for Grayscale image is proposed based on a family of the chaotic maps and discrete cosine transform. Jacobian Elliptic mapis employed to encrypt of watermarked logo. Piecewise nonlinear chaotic map is also used to determine the location of DCT coefficients for the watermark embedding. The purpose of this algorithm is to improve the shortcoming of watermarking such as small...

Multistability is characterized by the occurrence of multiple coexisting attractors. We introduce a family of maps that possess this property and in particular exhibits coexisting chaotic attractors. In this family not only the maps’ parameters can be varied but also their dimension. So, four types of multistable attractors, equilibria, periodic orbits, quasi-periodic orbits and chaotic attract...

Chaos is embedded to the he Charged System Search (CSS) to solve practical optimization problems. To improve the ability of global search, different chaotic maps are introduced and three chaotic-CSS methods are developed. A comparison of these variants and the standard CSS demonstrates the superiority and suitability of the selected variants for practical civil optimization problems.

Weak periodic perturbation has long been used to suppress chaos in dynamical systems. In this paper, however, we demonstrate that weak periodic or quasiperiodic perturbation can also be used to induce chaos in nonchaotic parameter ranges of chaotic maps, or to enhance the already existing chaotic state. Two kinds of chaotic maps, the period doubling system and the Hopf bifurcation system, are e...

In recent years, many multimedia and image encryption techniques based on chaotic maps have been proposed. In this paper, we propose a novel multimedia data encryption technique called MDEA (Multimedia Data Encryption Algorithm). Proposed encryption scheme is based on two digital chaotic maps, which in turn are used to generate two different chaotic sequences. Detail description of the proposed...

Image encryption is one of most useful way of securing image data. Traditional data security algorithms are also used over images but due to the bulkiness of image data they are not useful. Chaotic sequences play a very good role in image cryptographic system, due to their high sensitivity to initial condition and other properties. In this paper, B-spline functions of first three orders are stu...

Inspired from the Identity-based cryptosystem proposed by Adi Shamir, and Boneh and Franklin, this paper designed a new Identity-based digital signature (ECM-IDS) scheme using extended chaotic maps. The ECM-IDS scheme is secure based on the difficulties of integer factorization problem.

Many tiling spaces such as domino tilings of fixed figures have an underlying lattice structure. This lattice structure corresponds to the dynamics induced by flips. In this paper, we further investigate the properties of these lattices of tilings. In particular, we point out a stability property: the set of all the shortest sequences of flips joining to fixed tilings also have a lattice struct...

We investigate a lattice of coupled logistic maps where, in addition to the usual diffusive coupling, an advection term parameterized by an asymmetry in the coupling is introduced. The advection term induces periodic behavior on a significant number of non-periodic solutions of the purely diffusive case. Our results are based on the characteristic exponents for such systems, namely the mean Lya...