In recent years, the chaos based cryptographic algorithms have some optional and efficient ways to develop secure encryption techniques. In this paper, we proposed a modified approach for encryption based on chaotic skew tent maps in order to meet the requirements of the secure transfer. In the projected encryption scheme, an external secret key of 128-bit and two chaotic skew tent maps are emp...

The hyperelliptic curve cryptosystems take most of the time for computing a scalar multiplication kD of an element D in the Jacobian JC of a hyperelliptic curve C for an integer k. Therefore its efficiency depends on the scalar multiplications. Among the fast scalar multiplication methods, there is a method using a Frobenius map. It uses a Jacobian defined over an extension field of the definit...

Abstract We consider extensions of non-singular maps which are exact, respectively K-mixing, or at least have a decomposition into positive-measure components. The fibers the extension spaces countable (finite infinite) cardinality and action on them is assumed surjective bijective. call these systems, respectively, fiber-surjective fiber-bijective extensions. Technically, they skew products, t...

We consider skew-product maps over circle rotations $ x\mapsto x+\alpha\; with factors that take values in {{{\rm{SL}}}}(2,{\mathbb{R}}) $. In numerical experiments \alpha the inverse golden mean, Fibonacci iterates of almost Mathieu rotation number 1/4 and positive Lyapunov exponent exhibit asymptotic scaling behavior. prove existence such for 'periodic' numbers large exponent. The phenomenon ...

In this tutorial paper, various phenomena linked to the synchronization of chaotic systems are discussed using the simple example of two coupled skew tent maps. The phenomenon of locally riddled basins of attraction is explained using the Lyapunov exponents transversal to the synchronization manifold. The skew tent maps are coupled in two different ways, leading to quite different global dynami...

We study some dynamical properties of skew products of Hénon maps of C2 that are fibered over a compact metric space M . The problem reduces to understanding the dynamical behavior of the composition of a pseudorandom sequence of Hénon mappings. In analogy with the dynamics of the iterates of a single Hénon map, it is possible to construct fibered Green functions that satisfy suitable invarianc...

in this paper we consider several generalizations of the skew t-normal distribution, and some of their properties. also, we represent several theorems for constructing each generalized skew t-normal distribution. next, we illustrate the application of the proposed distribution studying the ratio of two heavy metals, nickel and vanadium, associated with crude oil in shadgan wetland in the south-...

Robin Harte and David Larson The first author was partially supported by Enterprise Ireland grant number IC/2001/027 Abstract We offer a perturbation theory for finite ascent and descent properties of bounded operators. There are various degrees of “skew exactness” ([10];[7] (10.9.0.1), (10.9.0.2)) between compatible pairs of operators, bounded and linear between normed spaces: 1. Definition Su...

Surprisingly, skew derivations rather than ordinary derivations are more basic (important) object in study of the Grassmann algebras. Let Λn = K⌊x1, . . . , xn⌋ be the Grassmann algebra over a commutative ring K with 12 ∈ K, and δ be a skew K-derivation of Λn. It is proved that δ is a unique sum δ = δ ev + δ of an even and odd skew derivation. Explicit formulae are given for δ and δ via the ele...