臺灣博碩士論文加值系統

這篇論文研究具多重穩定性之時間延遲型霍普菲爾神經網路。我們以兩個神經元所組成的神經網路來表現我們的想法。運用方程式的幾何結構，我們可推導出各種使網路具有不同數量固定點的條件，我們可以進一步建立網路系統的全局收斂性。

中文摘要 iii
Abstract iv
Contents v
List of figures vii
List of tables ix
1 Introduction 1
2 Literature review and study motivation 3
2.1 General cases 3
2.2 Other cases for n = 2 6
3 Main results 10
3.1 Exact number of equilibria for case 1 10
3.1.1 K2(p˜2; A1) > 0 10
3.1.2 K2(p˜2; C1) < 0 16
3.1.3 K2(p˜2; A1) < 0 < K2(p˜2; B1) 24
3.1.4 K2(p˜2; B1) < 0 < K2(p˜2; C1) 31
3.2 Exact number of equilibria for case 2 39
3.2.1 K2(p˜2; A1) > 0 41
3.2.2 K2(p˜2; A1) < 0 < K2(p˜2; S1) and K1(q˜1; SS1 ) > 0 51
3.2.3 K2(p˜2; S1) < 0 and K1(q˜1; AS1 ) > 0 57
3.3 Convergence of dynamics for case 1 under conditions K2(p˜2; A1) > 0 69
4 Numerical examples 78
References 98

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