Adaptive identification of chaotic systems and its applications in chaotic communications

Authors:
Jiuchao Feng
Affiliations:
School of Electronic and Information Engineering, South China University of Technology, Guangzhou, China
Venue:
ICNC'05 Proceedings of the First international conference on Advances in Natural Computation - Volume Part II
Year:
2005

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Abstract

A novel method for identifying a chaotic system with time-varying bifurcation parameters via an observation signal which has been contaminated by additive white Gaussian noise (AWGN) is developed. This method is based on an adaptive algorithm which takes advantage of the good approximation capability of the Radial Basis Function (RBF) neural network and the ability of the Extended Kalman Filter (EKF) for tracking a time-varying dynamical system. It is demonstrated that, provided the bifurcation parameter varies slowly in a time window, a chaotic dynamical system can be tracked and identified continuously, and the time-varying bifurcation parameter can also be retrieved in a sub-window of time via a simple least-square-fit method.