Hopfield神经网络概周期解的存在性和全局吸引性

Abstract

CLC Number:

92B20

CHEN An-Ping, HUANG Li-Hong. Existence and Attractivity of Almost Periodic Solutions of Hopfield Neural Networks[J].Acta mathematica scientia,Series A, 2001, 21(4): 505-511.

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１　ＨｏｐｆｉｅｌｄＪＪ．Ｎｅｕｒｏｎｓｗｉｔｈｇｒａｄｅｄｒｅｓｐｏｎｓｅｈａｖｅｃｏｌｌｅｃｔｉｖｅｃｏｍｐｕｔａｔｉｏｎａｌｐｒｏｐｅｒｔｉｅｓｌｉｋｅｔｈｏｓｅｏｆｔｗｏｓｔａｇｅｎｅｕｒｏｎｓ．ＰｒｏｃＮａｔＡｃａｄＳｃｉＵＳＡ，１９８４，８１：３０８８－３０９２
２　ＢｅｌａｉｒＪ，ＣａｍｐｂｌｌＳＡ，ＶａｎＤｅｎＤｒｉｅｓｓｃｈｅＰ．Ｆｒｕｓｔｒａｔｉｏｎ，ｓｔａｂｉｌｉｔｙａｎｄｄｅｌａｙｉｎｄｕｃｅｄｏｓｃｉｌｌａｔｉｏｎｓｉｎａｎｅｕｒａｌｎｅｔｗｏｒｋｍｏｄｅｌ．ＳＩＡＭＪＭａｔｈ，１９９６，５６：２４５－２５５
３　ＧｏｐａｌｓａｍｙＫ，ＨｅＸ．ＳｔａｂｉｌｉｔｙｉｎａｓｙｍｍｅｔｒｉｃＨｏｐｆｉｅｌｄｎｅｔｓｗｉｔｈｔｒａｎｓｍｉｓｓｉｏｎｄｅｌａｙｓ．ＰｈｙｓＤ，１９９４，７６：３４４－３５８
４　ＦｏｒｔｉＭ，ＭａｎｅｔｔｉＳ，ＭａｒｉｎｉＭ．Ａｃｏｎｄｉｔｉｏｎｆｏｒｇｌｏｂａｌｃｏｎｖｅｒｇｅｎｃｅｏｆａｃｌａｓｓｏｆｓｙｍｍｅｔｒｉｃｎｅｕｒａｌｎｅｔｗｏｒｋｓ．ＩＥＥＥＴｒａｎｓＣｉｒｃｉｕｔｓＳｙｓｔｅｍｓ，１９９２，３９：４８０－４８３
５　ＣａｏＹＪ，ＷｕＱＨ．Ａｎｏｔｅｏｎｓｔａｂｉｌｉｔｙｏｆａｎａｌｏｇｎｅｕｒａｌｎｅｔｗｏｒｋｓｗｉｔｈｔｉｍｅｄｅｌａｙｓ．ＩＥＥＥＴｒａｎｓＮｅｕｒａｌＮｅｔｗｏｒｋｓ１９９６，７：１５３３－１５３５
６　ＦｏｒｔｉＭ．Ｏｎｇｌｏｂａｌａｓｙｍｐｔｏｔｉｃｓｔａｂｉｌｉｔｙｏｆａｃｌａｓｓｏｆｎｏｎｌｉｎｅａｒｓｙｓｔｅｍｓａｒｉｓｉｎｇｉｎｎｅｕｒａｌｎｅｔｗｏｒｋｔｈｅｏｒｙ．ＪＤｉｆｆｅｒｅｎｔｉａｌＥｑｕａｔｉｏｎｓ，１９９４，１１３：２４６－２６４
７　ＬｉＪＨ，ＭｉｃｈｅｌＡＮ，ＰｏｒｏｄＷ．Ｑｕａｌｉｔａｔｉｖｅａｎａｌｙｓｉｓａｎｄｓｙｎｔｈｅｓｉｓｏｆａｃｌａｓｓｏｆｎｅｕｒａｌｎｅｔｗｏｒｋｓ．ＩＥＥＥＥＴｒａｎｓＣｉｒｃｕｉｔｓＳｙｓｔｅｍｓ，１９９８，３５：９７６－９８６
８　ＶａｎＤｅｎＤｒｉｅｓｓｃｈｅＰ，ＸｉｎｇｆｕＺｏｕ．ＧｌｏｂａｌａｔｔｒｃｔｉｖｉｔｙｉｎｄｅｌａｙｅｄＨｏｐｆｉｅｌｄｎｅｕｒａｌｎｅｔｗｏｒｋｓｍｏｄｅｌｓ．ＳＩＡＭＪＡｐｐｌＭａｔｈ，１９９８，５８：１８７８－１８９０
９　ＺｈｏｕＤｏｎｇｍｉｎｇ，ＣａｏＪｉｎｄｅ，ＬｉＪｉｂｉｎ．ＳｔａｂｉｌｉｔｙａｎａｌｙｓｉｓｏｆＨｏｐｆｉｅｌｄｎｅｕｒａｌｎｅｔｗｏｒｋｓｗｉｔｈｄｅｌａｙｓ．ＡｎｎｏｆＤｉｆｆＥｑｓ，１９９８，２：４６０－４６７
１０　ＬｉａｎｇＸｕｅｂｉｎｇ．ＧｌｏｂａｌｅｘｐｏｎｅｎｔｉａｌｓｔａｂｉｌｉｔｙａｎｄａｐｐｌｉｃａｔｉｏｎｏｆｔｈｅＨｏｐｆｉｅｌｄｎｅｕｒａｌｎｅｔｗｏｒｋｓ．ＳｃｉｅｎｃｅｉｎＣｈｉｎａ，１９９５，２５：５２３－５３２
１１　ＬｉａｏＸｉａｏｘｉｎ．ＳｔａｂｉｌｉｔｙｏｆｔｈｅＨｏｐｆｉｅｌｄｎｅｕｒａｌｎｅｔｗｏｒｋｓ．ＳｃｉｅｎｃｅｉｎＣｈｉｎａ，１９９３，５：５２３－５３２
１２　ＪｕｎｊｉｅＷｅｉ，ＳｈｉｇｕｉＲｕａｎ．Ｓｔａｂｉｌｉｔｙａｎｄｂｉｆｕｒｃａｔｉｏｎｉｎａｎｅｕｒａｌｎｅｔｗｏｒｋｍｏｄｅｌｗｉｔｈｔｗｏｄｅｌａｙｓ．ＰｈｙｓＤ，１９９９，１３０：２５５－２７２
１３　ＨｅＣｈｏｎｇｙｏｕ．Ａｌｍｏｓｔｐｅｒｉｏｄｉｃｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎ．Ｂｅｉｊｉｎｇ：ＨｉｇｈｅｒＥｄｕｃａｔｉｏｎＰｕｂｌｉｓｈｉｎｇＨｏｕｓｅ，１９９２
１４　ＣａｏＪｉｎｄｅ．Ｐｅｒｏｄｉｃｓｏｌｕｔｉｏｎｓａｎｄｅｘｐｏｎｅｎｔｉａｌｓｔａｂｉｌｉｔｙｉｎｄｅｌａｙｅｄｃｅｌｌｕｌａｒｎｅｕｒａｌｎｅｔｗｏｒｋｓ．ＰｈｙｓｉｃａｌＲｅｖｉｅｗＥ，１９９９，６０：３２４４－３２４８

[1]	YANG Fan, JIANG Da-Qing. Global Attractivity of Positive Periodic Solution of Facultative Mutualism System with Several Delays [J]. Acta mathematica scientia,Series A, 2002, 22(4): 518-524.
[2]	LIN Mu-Ren. 扰动系统概周期解和有界解的存在性 [J]. Acta mathematica scientia,Series A, 2002, 22(1): 61-70.
[3]	XU Jian-Hua. On the Existence of Almost Periodic Solutions of Neutral Functions Diffential Equations [J]. Acta mathematica scientia,Series A, 2001, 21(4): 533-539.
[4]	PENG Shi-Guo, XIE Xiang-Sheng. Periodic Solutions and Global Attractivity of a Class of Differential Systems with Distributed Delay [J]. Acta mathematica scientia,Series A, 2001, 21(4): 466-471.

Existence and Attractivity of Almost Periodic Solutions of Hopfield Neural Networks

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