The analysis of chaotic attractor generation is given, and the generation of novel chaotic attractor is introduced in this paper. The underlying mechanism involves two simple linear systems with onedimensional, two-dimensional, or three-dimensional space functions. Moreover, it is demonstrated by simulation that various attractor patterns are generated conveniently by adjusting suitable space f...

A sigmoid function is necessary for creation a chaotic neural network (CNN). In this paper, a new function for CNN is proposed that it can increase the speed of convergence. In the proposed method, we use a novel signal for controlling chaos. Both the theory analysis and computer simulation results show that the performance of CNN can be improved remarkably by using our method. By means of this...

In this paper, global chaos synchronization problem is investigated for WINDMI (J.C. Sportt, 2003) and Coullet (P. Coullet, et al., 1979) chaotic systems using active feedback control. Our theorems on synchronization for WINDMI and Coullet chaotic systems are established using Lyapunov stability theory. The controller design can be divided into two steps: the first one needs the derivation of c...

A dynamic antigen response of the immune network is discussed, based on shape-space modelling. The present model extends the shape-space modelling by introducing the evolution of speci"city of idiotypes. When the amount of external antigen increases, a measure of stability of the immune network is lost and thus the network can respond to the antigen. It is shown that speci"c and non-speci"c res...

A dynamic antigen response of the immune network is discussed, based on shape-space modelling. The present model extends the shape-space modelling by introducing the evolution of specificity of idiotypes. When the amount of external antigen increases, a measure of stability of the immune network is lost and thus the network can respond to the antigen. It is shown that specific and non-specific ...

A new BAM model is presented that uses a chaotic output function operating in chaotic mode during recall. Our results show that the model develops well-defined attractor basins, with the result that our chaotic BAM is more tolerant to noise than a regular fixed point BAM. This is concluded from simulations that showed the superior performance of the new model when compared to the original BAM a...

Due to their features of ergodicity, sensitivity to initial conditions and sensitivity to control parameters, etc., chaotic maps have good potential for information encryption. In this paper, a block cipher based on the chaotic standard map is proposed, which is composed of three parts: a confusion process based on chaotic standard map, a diffusion function, and a key generator. The parameter s...

Chaotic oscillators based on RC-elements and nonlinear amplifiers with sigmoid function only are discussed. The analysis of the structure a number of wellknown oscillators is carried out. On the basis of that analysis the structure of the oscillators which consist of RC–elements and op amps only and capable to show chaotic oscillations is suggested. Computer simulation of chaotic behavior of os...

The non-linear dynamics of the chaotic 1D logistic map and its statistical and spectral properties are studied using MATLAB numerical simulations. We have developed an analog behavioral model and implemented logistic map on a field programmable analog array chip. Presented measurement results confirmed the chaotic behavior of the implemented system. Results show that field programmable analog a...