Abstract
The bifurcation diagram of a wavelet function is discussed in the paper. The chaotic property of the map is changed with the variations of the constant k. Its μ-y diagram shows specially that there are bifurcations not only from period-2n to chaotic state but also from the chaotic state to period-2n when the parameter μ increases. The Lyapunov exponent diagram of the maps and one of the graphical iteration plot for the map are drawn. The wavelet function is also expanded with polynomial approximation in order to analyze the chaotic process.
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