In this paper, a method for synchronizing chaotic systems in continuous-time is presented. The approach, which exploits the model-matching problem from nonlinear control theory, is advantageously applied to achieve complete synchronization and output synchronization of identical and nonidentical chaotic systems, respectively. Some potential applications to secure communication for audio and bin...

In this report we discuss the problem of separating the sum of chaotic signals into the individual components with a procedure of backward iteration of the mapping equations describing the chaotic sources. We show that the proposed approach has good stability in respect to additive external noise.

Chaotic signals must have specific characteristics in order to be used in certain applications. One of them is band-limited power spectrum. An approach to design of chaotic sources with band-limited feature is proposed. Realization of the approach in microwave band is demonstrated.

introduction: the main objective of the present study was to investigate the effect of preceding pictorial stimulus on the emotional autonomic responses of the subsequent one. methods: to this effect, physiological signals, including electrocardiogram (ecg), pulse rate (pr), and galvanic skin response (gsr) were collected. as these signals have random and chaotic nature, nonlinear dynamics of t...

Chaotic dynamical systems are nonlinear deterministic systems which often exhibit erratic and irregular behavior. The signals that evolve in these systems are typically broadband, noise-like and similar in many respects to a stochastic process. Because of these properties chaotic signals potentially provide an important class of signals which can be utilized in various communications, radar and...

The problem of constructing synchronizing systems to observed signals is approached from a data driven perspective, in which it is assumed that neither the drive nor the response systems are known explicitly but have to be derived from the observations. The response systems are modeled by utilizing standard methods of nonlinear time series analysis applied to sections of the driving signals. As...

In this paper we introduce a method for improving the performance of noncoherent chaos-based communication systems. This method involves transforming chaotic signals into predefined patterns according to the relative magnitudes of the signal samples. First, for large spreading factors, the transformation leads to a large correlation between two different chaotic signals having the same distribu...