{"title":"可激介质中复杂图案形成的CNN模型","authors":"S. Jankowski, R. Wanczuk","doi":"10.1109/CNNA.1994.381657","DOIUrl":null,"url":null,"abstract":"The paper presents the nonlinear discrete-time cellular neural networks as a model of excitable media. It can be considered as a CNN solution of a reaction-diffusion equation. This approach adapts the cellular automation of Gerhardt and Schuster (1989) to the CNN paradigm. It is shown that a large variety of complex patterns (including various types of spiral waves) can be efficiently obtained by the proper choice of the model parameters.<<ETX>>","PeriodicalId":248898,"journal":{"name":"Proceedings of the Third IEEE International Workshop on Cellular Neural Networks and their Applications (CNNA-94)","volume":"51 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"CNN models of complex pattern formation in excitable media\",\"authors\":\"S. Jankowski, R. Wanczuk\",\"doi\":\"10.1109/CNNA.1994.381657\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper presents the nonlinear discrete-time cellular neural networks as a model of excitable media. It can be considered as a CNN solution of a reaction-diffusion equation. This approach adapts the cellular automation of Gerhardt and Schuster (1989) to the CNN paradigm. It is shown that a large variety of complex patterns (including various types of spiral waves) can be efficiently obtained by the proper choice of the model parameters.<<ETX>>\",\"PeriodicalId\":248898,\"journal\":{\"name\":\"Proceedings of the Third IEEE International Workshop on Cellular Neural Networks and their Applications (CNNA-94)\",\"volume\":\"51 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1994-12-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Third IEEE International Workshop on Cellular Neural Networks and their Applications (CNNA-94)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CNNA.1994.381657\",\"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 of the Third IEEE International Workshop on Cellular Neural Networks and their Applications (CNNA-94)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CNNA.1994.381657","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
CNN models of complex pattern formation in excitable media
The paper presents the nonlinear discrete-time cellular neural networks as a model of excitable media. It can be considered as a CNN solution of a reaction-diffusion equation. This approach adapts the cellular automation of Gerhardt and Schuster (1989) to the CNN paradigm. It is shown that a large variety of complex patterns (including various types of spiral waves) can be efficiently obtained by the proper choice of the model parameters.<>