Two fractional chaotic maps, Lu and Chen have been analyzed using an innovative predictor-corrector method based on a non-uniform grid. An original law to control the grid size at each iteration has introduced. The choice of was shown play fundamental role obtain behavior for larger parameter range, while decreasing computational time. obtained results show that complexity resulting system in t...

This paper concerns the propagation of particles through a quenched random medium. In the oneand two-dimensional models considered, the local dynamics is given by expanding circle maps and hyperbolic toral automorphisms, respectively. The particle motion in both models is chaotic and found to fluctuate about a linear drift. In the proper scaling limit, the cumulative distribution function of th...

While synchronization of coupled chaotic systems has been the subject of intensive research, many issues in this field remain open. Among the most important of these is robustness to channel noise: Can synchronization be guaranteed even if the coupling channel is noisy? This issue is of great significance if coupled chaotic systems are to find use in communications, as has been suggested by som...

The dynamics of coupled 2D chaotic maps with time-delay on a scalefree-tree is studied, with different types of the collective behaviors already been reported for various values of coupling strength [1]. In this work we focus on the dynamics’ time-evolution at the coupling strength of the stability threshold and examine the properties of the regularization process. The time-scales involved in t...

Chaotic maps can mimic random behavior in a quite impressive way. In particular, those possessing a generating partition can produce any symbolic sequence by properly choosing the initial state. We study in this letter the ability of chaotic maps to generate order patterns and come to the conclusion that their performance in this respect falls short of expectations. This result reveals some bas...

The applications of digital chaotic maps in discrete-time chaotic cryptography and pseudo-random coding are widely studied recently. However, the statistical properties of digital chaotic maps are rather different from the continuous ones, which impedes the theoretical analyses of the digital chaotic ciphers and pseudo-random coding. This paper detailedly investigates the statistical properties...

in this paper we review some recent ideas of synchronization theory. we apply this theory to study the different synchronization aspects of uni-directionally coupled pair of chaotic one-dimensional gaussian maps.

In this paper, the general concept of multidimensional discrete maps is presented. Moreover, new and fundamental results show invariance bifurcation points from periodic to chaotic behavior. Numerical examples regarding cases logistic map, complex-valued Ikeda multivariable Henon map are reported.

In this paper we review some recent ideas of synchronization theory. We apply this theory to study the different synchronization aspects of uni-directionally coupled pair of chaotic one-dimensional Gaussian maps.

The intriguing characteristics of chaotic maps have prompted researchers to use these sequences in watermarking systems to good effect. In this paper we aim to use a tent map to encrypt the binary logo to achieve a like-noise signal. This approach makes extraction of the watermark signal by potential attacker very hard. Embedding locations are selected based on certain principles. Experimental ...