An image encryption scheme based on high-dimensional dynamical multiple chaotic maps are proposed in this paper. In order to produce fast encryption and more avalanche effect, the circular shift algorithm is utilized to permute the positions of the image pixels in the spatial domain. The experimental results show that it is more efficient than traditional encryption schemes and it provides an s...

The impact of quenched disorder on deterministic diffusion in chaotic dynamical systems is studied. As a simple example, we consider piecewise linear maps on the line. In computer simulations we find a complex scenario of multiple suppression and enhancement of normal diffusion, under variation of the perturbation strength. These results are explained by a theoretical approximation, showing tha...

The quantum evolution maps of closed chaotic quantum graphs are unitary and known to have universal spectral correlations matching predictions of random matrix theory. In chaotic graphs with absorption the quantum maps become nonunitary. We show that their spectral statistics exhibit universality at the soft edges of the spectrum. The same spectral behavior is observed in many classical nonunit...

Title of dissertation: SYNCHRONIZATION IN CHAOTIC SYSTEMS: COUPLING OF CHAOTIC MAPS, DATA ASSIMILATION, AND WEATHER FORECASTING Seung-Jong Baek, Doctor of Philosophy, 2007 Dissertation directed by: Distinguished University Professor Edward Ott Department of Electrical and Computer Engineering The theme of this thesis is the synchronization of coupled chaotic systems. Background and introductory...

Rényi entropy and generalized complexity measures are used to describe the chaotic behaviour of dynamical systems. These measures are found to be sensitive to the fine details of the Rössler and the Duffing maps. They are good descriptors of chaotic behaviour. Periodic windows and the fractal character of the chaotic dynamics are nicely detected.

Abstract : A route to chaos is studied in 3-dimensional maps of logistic type. Mechanisms of period doubling for invariant closed curves (ICC) are found for specific 3-dimensional maps. These bifurcations cannot be observed for ICC in the 2-dimensional case. When the parameter of the system is modified, localized oscillations occur on the ICC that give rise to weakly chaotic rings, then to chao...

By cross-coupling two one-dimensional chaotic maps a novel method is proposed for the public key steganography in JPEG image. Chaotic maps entail high complexity in the used algorithm for embedding secret data in a medium. In this paper, discrete crosscoupled chaotic maps are used to specifying the location of the different parts of the secret data in the image. Modifying JPEG format during com...

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...

The collective dynamics of coupled two-dimensional chaotic maps on complex networks is known to exhibit a rich variety of emergent properties which crucially depend on the underlying network topology. We investigate the collective motion of Chirikov standard maps interacting with time delay through directed links of gene regulatory network of bacterium Escherichia coli. Departures from strongly...

In this paper, a stream image cryptography has been proposed based on spatiotemporal chaos system. It is specifically designed for the colored images, which are 3D arrays of data streams. One-way coupled map lattices (OCML) are used to generate pseudorandom sequences and then encrypt image pixels one by one. By iterating randomly chosen chaotic maps from a set of chaotic maps for certain times,...