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It is well-known that the action of a hyperbolic element (“cat map”) of the modular group SL(2,Z) on the torus T = R/Z has strong chaotic dynamical properties such as mixing and exponential decay of correlations. In this note we study stability of this behaviour with respect to a class of perturbations called “kicked systems” introduced in [PR]: Let h ∈ SL(2,Z) be hyperbolic, and assume that th...

Abstract. We study the time evolution of the quantum-classical correspondence (QCC) for the well known model of quantised perturbed cat maps on the torus in the very specific regime of semi-classically small perturbations. The quality of the QCC is measured by the overlap of classical phase-space density and corresponding Wigner function of the quantum system called quantum-classical fidelity (...

We estimate the dynamical entropy for the quantized CAT map. It turns out that the result depends on the rotation parameter and positivity of the dynamical entropy demands asymptotic abelianness. Further the estimates ooer a counterexample to the additivity of the dynamical entropy for tensor products.

In 5G wireless communications, sparse code multiple access (SCMA) – a multi-dimensional codebook based on specific category of the non-orthogonal (NOMA) technique - enables many users to share resource components with low level detection complexity. The SCMA (MD-SCMA) design presented in this study is constellation rotation and interleaving method. Initially, subset lattice Z 2 used form mother...

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...

Image encryption techniques are applied widely in the digital world today to assure information security. Although more and more encryption algorithms appear, they lack a method to evaluate the encryption quality. Visual inspection is not enough on judging the quality of encrypted images. So, we propose three classes of measurements based on the pixel’s position changing, value changing and bot...

Ordered gene maps of mammalian species are becoming increasingly valued in assigning gene variants to function in human and animal models, as well as recapitulating the natural history of genome organization. To extend this power to the domestic cat, a radiation hybrid (RH) map of the cat was constructed integrating 424 Type I-coding genes with 176 microsatellite markers, providing coverage ove...