In the past few years, a number of image encryption algorithms based on chaotic maps have been proposed. A recently proposed Chaotic-Key Based Algorithm (CKBA) is based on a one-dimensional Logistic map. However, it has been shown that the current CKBA model is unavoidably susceptible to chosen/known-plaintext attacks, and that the high security claims against ciphertext-only attack were overes...

Chaotic systems exhibit highly nonlinear, complex and unpredictable behaviors. Thereby, these systems have received much attention in a variety of fields over the past few decades. In this paper we develop a particle filter algorithm to solve the problem of chaotic state and unknown input estimation from arbitrarily nonlinear time series. Thus, even if there exist Gaussian or non-Gaussian noise...

In this work, a family of piecewise chaotic maps is proposed. This parameterized by the nonlinear functions used for each piece mapping, which can be either symmetric or non-symmetric. Applying constraint on shape piece, generated have no equilibria and showcase behavior. thus belongs to category systems with hidden attractors. Numerous examples are provided, showcasing fractal-like, symmetrica...

We study the dynamical behavior of a single inductor two inputs two outputs SITITO power electronics DC-DC converter under a current mode control in a PWM interleaved scheme. This system is able to regulate two, generally one positive and one negative, voltages outputs . The regulation of the outputs is carried out by the modulation of two time intervals within a switching cycle. The value of t...

This paper reports on the stability analysis of one member of a dual-channel resonant dc–dc converter family. The study is confined to the buck configuration in symmetrical operation. The output voltage of the converter is controlled by a closed loop applying constant-frequency pulsewidth modulation. The dynamic analysis reveals that a bifurcation cascade develops as a result of increasing the ...

Since chaos systems generally have the intrinsic properties of sensitivity to initial conditions, topological mixing and density of periodic orbits, they may tactfully use the chaotic ergodic orbits to achieve the global optimum or their better approximation to given cost functions with high probability. During the past decade, they have increasingly received much attention from academic commun...

This paper studies two kinds of simple switched dynamical systems with piecewise constant characteristics. The first one is based on the single buck converter whose periodic/chaotic dynamics are analyzed precisely using the piecewise linear phase map. The second one is based on a paralleled system of the buck converters for lower voltages with higher current capabilities. Referring to the resul...

In this paper, statistical analysis of watermarking schemes based on correlation detection is presented. Statistical properties of watermark sequences generated by piecewise-linear Markov maps are exploited, resulting in superior watermark detection reliability. Correlation/spectral properties of such sequences are easily controllable, a fact that reflects on the watermarking system performance...

Chaotic signals are potentially attractive in a wide range of signal processing applications. This paper deals with Bayesian estimation of chaotic sequences generated by piecewise-linear (PWL) maps and observed in white Gaussian noise. The existence of invariant distributions associated with these sequences makes the development of Bayesian estimators quite natural. Both maximum a posteriori (M...

In this paper we generalize analytic studies the problems related to suppression of chaos and non–feedback controlling chaotic motion. We develop an analytic method of the investigation of qualitative changes in chaotic dynamical systems under certain external periodic perturbations. It is proven that for polymodal maps one can stabilize chosen in advance periodic orbits. As an example, the qua...