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Chaotic Secure Communication by Tsinghua University Tsinghua University Press, Kehui Sun

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2Characteristic Analysis Methods for Nonlinear System

Because of the complexity of the nonlinear system, how to judge the chaotic behavior of a nonlinear system is an important question in the study of chaos theory and application. Generally, methods to determine the chaotic characteristics of a nonlinear system include phase diagram analysis, power spectral analysis, Lyapunov exponent spectrum analysis, fractal dimension analysis, dividing frequency sampling method, pseudo-phase space method, Poincaré section, 0–1 test, and so on.

2.1Phase Diagram Analysis Method

Phase diagram analysis is one of the direct observation methods. Characteristics of the aperiodic motion of a chaotic motion can be displayed by the method of phase plane graph. Periodic ...

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