本論文旨在研究非同質細胞神經網路系統的複雜性(拓樸熵)，我們將針對週期性非同質性細胞神經網路系統之的其存在性的充分條件。具體來說，我們定義週期性非同質細胞神經網路系統所誘導的鄰接矩陣組是p product specification條件下其拓樸熵的存在性。

In this investigation we study the topological entropy htop(M) (defined later) of an inhomogeneous cellular neural networks (ICNNs, for short) with period p. The sufficient conditions for the existence of the htop(M) are given in this paper. More precisely, the p product specification (P.P.S., for short) of a collection of matrices
M(p) = {Mi}p i=1 (defined later) induced form the ICNN with period p ensures the existence of htop(M(p)).

Contents
1 Introduction 1
2 Preliminaries 3
3 Main results 5
4 Acknowledgement 9

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