In recent years, the chaos based cryptographic algorithms have suggested some new and efficient ways to develop secure image encryption techniques. In this paper, we propose a novel method to encrypt a gray image based on Arnold transform and Kent mapping. It is a digital medical image encryption algorithm, dual scrambling that based on chaos of pixel position and pixel values. The results of e...

The Halo Galactic Globular Clusters (GCs) lying inside the solar circle (Inner , R GC < 8Kpc, [Fe/H] < −0.8) are shown to keep no record of the strong correlation between GC absolute integrated magnitudes and core parameters (concentration and central density) clearly detected for the Halo GCs lying outside this circle (Outer) as well as (at lower statistical significance) for those belonging t...

The dynamics of the classical two-body Coulomb problem in a uniform magnetic field are explored numerically in order to determine when chaos can occur. The analysis is restricted to the configuration of planar particles with an orthogonal magnetic field, for which there is a four-dimensional phase space. Parameters of mass and charge are chosen to represent physically motivated systems. To chec...

In this paper we develop a novel probabilistic generalization bound for learning the kernel problem. First, we show that the generalization analysis of the regularized kernel learning system reduces to investigation of the suprema of the Rademacher chaos process of order two over candidate kernels, which we refer to as Rademacher chaos complexity. Next, we show how to estimate the empirical Rad...

Based on an analysis on a variety of game models in the supply chain, this paper proposes a multi-enterprise output game model under the circumstances of information asymmetry. After a study on Nash equilibrium, the paper analyzes the factors that cause chaos in production decision making among manufacturers and offers numerical simulation. The authors argue that under the circumstances of info...

In this letter, after reviewing the main points of the chaotic trigonometric maps and the coupled map lattices, we introduce the scheme of chaos-based image encryption based on coupled map lattices. The scheme decreases periodic effect of the ergodic dynamical systems in the chaos-based image encryption. To evaluate the security of the encrypted image of this scheme, the key space analysis, the...

We report the onset of wave chaos in a real-world vertical-cavity surface-emitting laser. In a joint experimental and modeling approach we demonstrate that a small deformation in one layer of the complicated laser structure changes the emission properties qualitatively. Based on the analysis of the spatial emission profiles and spectral eigenvalue spacing distributions, we attribute these chang...

In our investigation, we used Hamiltonian dynamics to model two different spring-pendulum systems in MATLAB. First, we confirmed that chaotic motion is possible in the classic single spring-pendulum system in two dimensions and without damping. Next, we modified the system by attaching the mass to two springs (Figure 1b) and tested to see how the dynamics change with the addition of this second...

Chaos may be degenerated because of the finite precision effect, hence, in this work, for given a new fractional order three-dimensional chaotic attractors, numerical investigations on the dynamics of this system have been carried out. The stability of equilibrium for the system is analyzed according to the qualitative theory. Furthermore, a new chaotic control technique is designed, the specia...

‎In the following text for arbitrary $X$ with at least two elements‎, ‎nonempty countable set $Gamma$‎ ‎we make a comparative study on the collection of generalized shift dynamical systems like $(X^Gamma,sigma_varphi)$ where $varphi:GammatoGamma$ is an arbitrary self-map‎. ‎We pay attention to sub-systems and combinations of generalized shifts with counterexamples regarding Devaney‎, ‎exact Dev...