Information security is concerned with maintaining the secrecy, reliability and accessibility of data. The main objective of information security is to protect information and information system from unauthorized access, revelation, disruption, alteration, annihilation and use. This paper uses spatial domain LSB substitution method for information embedding and Arnold’s transform is applied twi...

Abstract This paper presents a piece-wise linear cat map (PWLCM) obtained by perturbing the conventional quantized Arnold (QACM) with nonlinear term. The effect of term on dynamics QACM is investigated. We show that eigenvalues, hence Lyapunov exponents PWLCM depend initial conditions, which not case for QACM. As result, proposed generalized form QACM, whose period exponentially increases respe...

In this paper we present a bijection between two well known families of Catalan objects: the set of facets of the m-generalized cluster complex ∆(An) and that of dominant regions in the m-Catalan arrangement Cat(An), where m ∈ N>0. In particular, the map which we define bijects facets containing the negative simple root −α to dominant regions having the hyperplane {v ∈ V | 〈v, α〉 = m} as separa...

Hypersensitivity to perturbation is a criterion for chaos based on the question of how much information about a perturbing environment is needed to keep the entropy of a Hamiltonian system from increasing. We demonstrate numerically that hypersensitivity to perturbation is present in the following quantum maps: the quantum kicked top, the quantum baker’s map, the quantum lazy baker’s map, and t...

We report the numerical observation of scarring, that is enhancement probability density around unstable periodic orbits a chaotic system, in eigenfunctions classical Perron-Frobenius operator noisy Anosov ("cat") maps, as well Bunimovich stadium. A parallel drawn between and quantum scars, based on unitarity or non-unitarity respective propagators. For uniformly hyperbolic systems such cat map...

Chaotic diffusion on periodic orbits (POs) is studied for the perturbed Arnold cat map on a cylinder, in a range of perturbation parameters corresponding to an extended structural-stability regime of the system on the torus. The diffusion coefficient is calculated, using the following PO formulas: (1). the curvature expansion of the Ruelle zeta function; (2). the average of the PO winding-numbe...

Information security is concerned with maintaining the secrecy, reliability and accessibility of data. The main objective of information security is to protect information and information system from unauthorized access, revelation, disruption, alteration, annihilation and use. This paper uses spatial domain LSB substitution method for information embedding and Arnold’s transform is applied twi...

The rapid evolution of imaging and communication technologies has transformed images into a widespread data type. Different types of data, such as personal medical information, official correspondence, or governmental and military documents, are saved and transmitted in the form of images over public networks. Hence, a fast and secure cryptosystem is needed for high-resolution images. In this p...