This paper aims to evaluate the impact of chaotic sequences on the performance of synchronous TH-UWB system when they are used as multiple access keys. We considered the realistic multi-path channel described in the norm IEEE 802.15.4a. Firstly, we will prove the dependence of the performance on the used multiple access codes by expressing the power of multi-user interference with the aid of th...

We study chaotic maps with multiple coexisting strange attractors and show how such systems can be controlled. To this end, a control scheme is proposed which is capable of stabilizing a desired motion within one strange attractor as well as taking the system dynamics from one strange attractor to another. To demonstrate the given control scheme, several examples are considered.

Two different kinds of synchronization have been applied to cryptography: synchronization of chaotic maps by one common external signal and synchronization of neural networks by mutual learning. By combining these two mechanisms, where the external signal to the chaotic maps is synchronized by the nets, we construct a hybrid network which allows a secure generation of secret encryption keys ove...

Concepts from Ergodic Theory are used to describe the existence of special nontransitive maps in attractors of phase synchronous chaotic oscillators. In particular, it is shown that for a class of phase-coherent oscillators, these special maps imply phase synchronization. We illustrate these ideas in the sinusoidally forced Chua’s circuit and two coupled Rössler oscillators. Furthermore, these ...

In this paper, we propose a robust hyperchaotic system that is practically serviceable in digital securecommunication. The system consists of many coupled robust logistic maps that form a hyper-chaotic system. The system has a very large parameter space which grows along with the system precision. Moreover, it has higher degree of complexity than traditional discrete-time secure-communication s...