This research deals with the initial investigations on the concept of a chaos-driven evolutionary algorithm Differential evolution. This paper is aimed at the embedding of simple twodimensional chaotic system, which is Lozi map, in the form of chaos pseudo random number generator for Differential Evolution. The chaotic system of interest is the discrete dissipative system. Repeated simulations ...

In this paper, a new chaotic pseudo-random number generator (PRNG) is proposed. It combines the well-known ISAAC and XORshift generators with chaotic iterations. This PRNG possesses important properties of topological chaos and can successfully pass NIST and TestU01 batteries of tests. This makes our generator suitable for information security applications like cryptography. As an illustrative ...

In this paper, a fast chaos-based image encryption system with stream cipher structure is proposed. In order to achieve a fast throughput and facilitate hardware realization, 32-bit precision representation with fixed point arithmetic is assumed. The major core of the encryption system is a pseudo-random keystream generator based on a cascade of chaotic maps, serving the purpose of sequence gen...

1 NAKAGAWA, s., and SAITO,T.: ‘An RC OTA hysteresis chaos generator’, IEEE Trans. Circuits Syst. I, 1996, CAS-43, (12), pp. 10 19-1 02 1 2 STORACE, M., PARODI, M., and ROBATTO, D.: ‘A hysteresis-based chaotic circuit: dynamics and applications’, Int. J. Circuit Theory Appl., 1999, 27, (6), pp. 527-542 ELWAKIL, A s . , and KENNEDY, M.P.: ‘Systematic realization of a class of hysteresis chaotic o...

The nondeterministic property of the optoelectronic random bit generator (RBG) based on laser chaos are experimentally analyzed from two aspects of the central limit theorem and law of iterated logarithm. The random bits are extracted from an optical feedback chaotic laser diode using a multi-bit extraction technique in the electrical domain. Our experimental results demonstrate that the genera...

This paper discusses a four-dimensional plus hysteresis autonomous chaotic circuit. The circuit dynamics is described by two symmetric four-dimensional linear equations connected to each other by hysteresis switchings. We transform the equation into Jordan form and derive theoretical formulas of its three-dimensional return map, its Jacobian matrix and its Jacobian. These formulas can be develo...

This paper applies the mathematics of chaos to the task of designing indoor rock-climbing routes. Chaotic variation has been used to great advantage on music and dance, but the challenges here are quite different, beginning with the representation. We present a formalized system for transcribing rock climbing problems and then describe a variation generator that is designed to support human rou...

In recent years, growing number of cryptosystems based on chaos have been proposed. However, most of them encounter some problems such as: low level of security and small key space. The key stream generator is the key design issue of an encryption system. It directly determines security and efficiency, but most of the proposed key streams are binary valued, and suffer from short period and limi...