In order to exploit generalized chaotic synchronization phenomena for the solution of temporal pattern recognition problems, a chaotic dynamical system representing the class of signals that are to be recognized must be established. This system can be determined by means of identification techniques. Although the fulfillment of the chaotic condition could appear as a constraint, it is shown her...

In this paper, the nonlinear dynamic properties were introduced to the analysis of the acupoint signals from a meridian channel, i.e. the signals acquired from the Lung Channel of Hand-Taiyin (LU). Then, the chaotic properties like Lyapunov exponent, Kolmogorov entropy, correlation dimension were researched. The obtained results showed that the acupoint signal is chaotic signal. And the chaotic...

The classification of chaotic signals generated by a low-dimensional deterministic models given a dictionary of possible model is considered. The proposed classification methods rely on the concept of “best predictor” of signal. A statistical interpretation of this concept based on the ergodic theory of chaotic system is presented. A sort of “bootstrapping” estimator of the statistical properti...

Chaotic signals have been considered potentially attractive in many signal processing applications ranging from wideband communication systems to cryptography and watermarking. Besides, some devices as nonlinear adaptive filters and phase-locked loops can present chaotic behavior. In this paper, we derive analytical expressions for the autocorrelation sequence, power spectral density and essent...

– In this paper the attention is focused on the chaotic dynamics of a new circuit driven by two sinusoidal signals. In particular, it is illustrated that the application of signals with slightly different frequencies enables the novel phenomenon of chaotic beats to be generated. Moreover, the paper shows that the proposed circuit can be considered the simplest nonautonomous circuit able to gene...

This work presents the analysis of nonlinear aeroelastic time series from wing vibrations due to airflow separation during wind tunnel experiments. Surrogate data method is used to justify the application of nonlinear time series analysis to the aeroelastic system, after rejecting the chance for nonstationarity. The singular value decomposition SVD approach is used to reconstruct the state spac...

–In this paper a new dynamic phenomenon in nonlinear circuits driven by two sinusoidal signals is investigated. By exploiting state-space analysis, the paper shows that the application of signals with slightly different frequencies enables the phenomenon of chaotic beats to be obtained. Moreover, the power spectral density and the Lyapunov exponents are computed, with the aim of confirming the ...

In this paper, synchronization of two chaotic signals is studied and analyzed. A nonlinear recursive backstepping scheme is utilized to design an appropriate control input signal that achieves synchronization between the two chaotic signals. For the sake of comparison, an alternative master-slave synchronizing controller is designed and the two controllers are compared. Numerical simulations ar...

Chaotic behavior is a feature associated with complex and interacted systems. Many natural and unnatural systems in various branches of science (such as biology, economics, etc.) exhibit chaotic behavior and the study of chaotic systems and signals has progressed in the recent decades. [1] Chaotic time series have a significant role in identification of their generating systems. It has been cla...

A technique of secure communication via chaotic synchronization is proposed. A suitable frequency modulated (FM) signal is used to drive two different phase locked loops (PLLs) in chaotic region to obtain two different chaotic signals. Out of these two signals one will be transmitted to the receiver PLL depending on the digital data. Receiver PLL synchronized with the transmitted chaotic signal...