Median Approach to the Wavelet Transform Method for the Coupled Chaotic System with Neumann Boundary Conditions and its Synchronous Applications

碩士 === 國立新竹教育大學 === 應用數學系碩士班 === 98 === 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 additi...

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Bibliographic Details
Main Authors: Chien-I Chen, 陳健億
Other Authors: Chin-Lung Li
Format: Others
Language:en_US
Published: 2010
Online Access:http://ndltd.ncl.edu.tw/handle/50037241939662069163
Description
Summary:碩士 === 國立新竹教育大學 === 應用數學系碩士班 === 98 === 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. In this research, there are two-fold. 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 diusively coupled with Neumann boundary conditions.