利用小波轉換理論使網絡型耦合混沌系統更快地產生同步化現象,當耦合強度比臨界耦合強度還要大時,此耦合混沌系統即會產生同步化現象。而臨界耦合強度跟矩陣A的第二大特徵值有關。此篇論文包含兩個部分，第一、改進傳統的小波轉換方理論,將平均數的方法利用中位數方法取代，來改變小波參數為最佳選擇建議。第二、我們如何給予一個最適合的方法在週期邊界條件的耦合混沌系統使其為同步化之應用.

Based on the master stability function (MSF) [7] for local synchronization in coupled chaotic systems, the stability of chaotic synchronization is actually controlled by the second largest eigenvalue of the coupling matrix of coupled chaotic systems. In addition, it is demonstrated that the wavelet transform method,which is proposed by Wei et al.[11], can greatly increase the applicable ranges of coupling strengths for local synchronization of coupled chaotic systems. There are two-fold in this research. First, the concept of the wavelet transform method by using median to improve the best choice of wavelet parameters is proposed. Second, we give an application to the individual chaotic system diffusively coupled with Periodic boundary conditions.

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