{"title":"非线性神经网络平衡点的定位与稳定性","authors":"M. Vidyasagar","doi":"10.1109/IJCNN.1991.170664","DOIUrl":null,"url":null,"abstract":"The number, location and stability behavior of the equilibria of arbitrary nonlinear neural networks are analyzed without resorting to energy arguments based on assumptions of symmetric interactions or no self-interactions. The following results are proved. Let H=","PeriodicalId":211135,"journal":{"name":"[Proceedings] 1991 IEEE International Joint Conference on Neural Networks","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1991-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Location and stability of the equilibria of nonlinear neural networks\",\"authors\":\"M. Vidyasagar\",\"doi\":\"10.1109/IJCNN.1991.170664\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The number, location and stability behavior of the equilibria of arbitrary nonlinear neural networks are analyzed without resorting to energy arguments based on assumptions of symmetric interactions or no self-interactions. The following results are proved. Let H=\",\"PeriodicalId\":211135,\"journal\":{\"name\":\"[Proceedings] 1991 IEEE International Joint Conference on Neural Networks\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1991-11-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[Proceedings] 1991 IEEE International Joint Conference on Neural Networks\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IJCNN.1991.170664\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[Proceedings] 1991 IEEE International Joint Conference on Neural Networks","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IJCNN.1991.170664","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Location and stability of the equilibria of nonlinear neural networks
The number, location and stability behavior of the equilibria of arbitrary nonlinear neural networks are analyzed without resorting to energy arguments based on assumptions of symmetric interactions or no self-interactions. The following results are proved. Let H=
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