Today the Genetic Algorithm (GA) is used to solve a large variety of complex nonlinear optimization problems. However, permute convergence which is one of the most important disadvantages in GA is known to increase the number of iterations for reaching a global optimum. This paper, presents a new GA based on chaotic systems to overcome this shortcoming,. We employ logistic map and tent map as t...

We propose a new mechanism for undersampling chaotic numbers obtained by the ring coupling of one-dimensional maps. In the case of 2 coupled maps this mechanism allows the building of a PRNG which passes all NIST Test. This new geometric undersampling is very effective for generating 2 parallel streams of pseudo-random numbers, as we show, computing carefully their properties, up to sequences o...

Aiming at improving the global convergence speed of bacterial colony chemotaxis (BCC) optimization algorithm, a new chaotic hybrid bacterial colony chemotaxis (CHBCC) algorithm is introduced through the technique of hybrid algorithm. By integrating elitist strategy and chaotic optimization into bacterial colony chemotaxis optimization algorithm, it greatly enhances the local searching efficienc...

A chaotic noise is one of the most important implements for information processing such as neural networks. It has been suggested that chaotic neural networks have high performance ability for information processing. In this paper, we report two designs of a compact chaotic noise generator for large integration circuits using CMOS technology. The chaotic noise is generated using map chaos. We d...

We present and discuss philosophy and methodology of chaotic evolution that is theoretically supported by chaos theory. We introduce four chaotic systems, that is, logistic map, tent map, Gaussian map, and Hénon map, in a well-designed chaotic evolution algorithm framework to implement several chaotic evolution (CE) algorithms. By comparing our previous proposed CE algorithm with logistic map a...

In this paper, theoretical performance analysis of watermarking schemes based on correlation detection is undertaken, leading to a number of important observations on the watermarking system detection performance. Statistical properties of watermark sequences generated by piecewise-linear Markov maps are investigated. Correlation/spectral properties of such sequences are easily controllable, a ...

To solve the problems that whale optimization algorithm is easy to fall into local and slow convergence speed, improved proposed. Firstly, uses Skew Tent chaotic map initialize population, improve diversity of original population make individual position distribution whales more uniform; Secondly, nonlinear factor based on inverse incomplete ? function used balance global exploration developmen...

Chaos optimization algorithms (COAs) usually utilize different chaotic maps(logistic, tent, Hénon, Lozi,...) to generate the pseudo-random numbers mapped as design variables for global optimization. In this paper we are going propose new technique improve algorithm by using some transformations modify density of map instead changing it.

Chaotic multimodal skew tent maps are constructed to design an efficient chaos-based image encryption scheme with an efficient permutation-diffusion mechanism, in which permuting the positions of image pixels incorporates with changing the grey values of image pixels to confuse the relationship between cipher-image and plain-image. In the permutation process, a multimodal skew tent map is utili...

A novel electromechanical chaotic oscillator is described that admits an exact analytic solution. The oscillator is a hybrid dynamical system with governing equations that include a linear second order ordinary differential equation with negative damping and a discrete switching condition that controls the oscillatory fixed point. The system produces provably chaotic oscillations with a topolog...