However, the recent researches show that even with chaotic dynamics completely hidden most of known models of chaotic communication are insecure.
We study discretized model of chaotic systems which are perturbed by white noise and employ Lyapunov-like theorems to come up with a simple yet effective observer design.
Section "Model of chaotic time series prediction and fault detection" proposes a new CPRBF network for chaotic time series prediction, and a residual error generator based on CPRBF network was also designed to detect fault.
Dynamic models of chaotic signals, considered in this paper, were created in the form of linear autoregressive models as well as in the form of non-linear feedforward neural networks (of several types).
This paper is about the estimation of transparent models of chaotic systems from data, which are accurate and simple enough for their expression to be understandable by a human expert.
The bifurcation diagrams of both bubble and particle motions generated by the trained ANN demonstrated that the ANN is capable of predicting and modeling the chaotic dynamics of multi-phase reactors.
Moreover, Alsulami, Ntouyas, Agarwal, Ahmad and Alsaedi [24] pointed out that fractional differential system constitute an important and interesting field of investigation because of their applications in many real world problems such as anomalous diffusion [25], disease models [26 28], ecological models [29], synchronization of chaotic systems [30 32] and so forth.
Coupled systems of fractional-order differential equations constitute an interesting and important field of research in view of their applications in many real world problems such as anomalous diffusion [14], disease models [15 17], ecological models [18], synchronization of chaotic systems [19 21], etc.
As a model of deterministic chaotic system, the one-dimensional discrete Logistic equation was used.
In the proposed work Simulink model of each chaotic system is first realized using HDL coder of MATLAB, wherein each coefficient and signal is represented using a fixed number of bits.
