The chaotic systems have been found applications in diverse fields such as pseudo random number generator, coding, cryptography, spread spectrum (SS) communications etc. The inherent capability of generating a large space of PN sequences due to sensitive dependence on initial conditions has been the main reason for exploiting chaos in spread spectrum communication systems. This behaviour sugges...

Chaos maps and chaotic systems have been proved to be useful and effective for cryptography. In this paper, the two-dimensional logistic map with complicated basin structures and attractors are first used for image encryption. The proposed method adopts the classic framework of the permutation-substitution network in cryptography and thus ensures both confusion and diffusion properties for a se...

Chaotic scattering in open Hamiltonian systems is relevant for different problems in physics. Particles in such kind of systems can exhibit both bounded or unbounded motions for which escapes from the scattering region can take place. This paper analyzes how to control the escape of the particles from the scattering region in the presence of noise. For that purpose, we apply the partial control...

A novel pseudo-random bit generator (PRBG) using three chaotic logistic maps is proposed. The algorithm generates at each iteration sequences of 32 bit-blocks by starting from randomly chosen initial seeds. The impact of relying on IEEE 754-2008 floating-point representation format for the generator is also taken into account. The performance of the generator is evaluated through various statis...

 There have been strong links between chaotic theory and cryptographic for the last three decades. The characterization of behaviors Chaotic system, such as: highly responsive to initial states, mixing attributes, deterministic existence, often unable predict long-term returns, allows researchers improve security cryptography systems. As a result, there are growing numbers experiments that...

Complex dynamics of chaotic maps under an infinite-precision mathematical framework have been well known. The case in a finite-precision computer remains to be further explored. Previous work treated a digital chaotic map as a black box and gave different explanations according to the test results of the output. Using the Logistic map as a typical example, we disclose some dynamical properties ...

The Baptista cryptosystem uses the logistic map to generate chaotic sequence. The encryption process of a given plaintext character consists of iterating the chaotic map until the state reaches the subinterval assigned to that symbol. The cipher text corresponding to the plaintext symbol is the number of iterations in the chaotic map. We propose a method to enhance the security and compression ...

this paper introduces a technique for controlling a class of uncertain chaotic systems using an adaptive fuzzy proportional-integrator-derivative (pid) controller with h∞ tracking performance. the purpose of this work is to achieve optimal tracking performance of the controller using backtracking search algorithm (bsa). bsa, which is a novel heuristic algorithm, has an easy structure with singl...

Stein, Kenneth M., Jeff Walden, Neal Lippman, and Bruce B. Lerman. Ventricular response in atrial fibrillation: random or deterministic? Am. J. Physiol. 277 (Heart Circ. Physiol. 46): H452–H458, 1999.—The ventricular response in atrial fibrillation is often described as ‘‘chaotic,’’ but this has not been demonstrated in the strict mathematical sense. A defining feature of chaotic systems is sen...