{"title":"非分段线性自治系统。2复杂分岔结构","authors":"Yu Zhiping, Zhao Jing","doi":"10.1109/MWSCAS.1995.504514","DOIUrl":null,"url":null,"abstract":"In the companion paper (see ibid., p. 612-15, Aug. 1995), we have presented novel time waveforms revealed in the non-piecewise-linear autonomous system (NPLAS) and have advanced a numerical symbol representation to analyze the complex waveforms. In this paper, we introduce definitions of the unit waveforms and the allotropic waveforms and characterize the bifurcation structure, of the system with further study of the complex periodic waveforms. In addition, we demonstrate the bifurcation regularity through the union of the sets and the Farey sum.","PeriodicalId":165081,"journal":{"name":"38th Midwest Symposium on Circuits and Systems. Proceedings","volume":"32 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1995-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The non-piecewise-linear autonomous system. II. The complex bifurcation structure\",\"authors\":\"Yu Zhiping, Zhao Jing\",\"doi\":\"10.1109/MWSCAS.1995.504514\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the companion paper (see ibid., p. 612-15, Aug. 1995), we have presented novel time waveforms revealed in the non-piecewise-linear autonomous system (NPLAS) and have advanced a numerical symbol representation to analyze the complex waveforms. In this paper, we introduce definitions of the unit waveforms and the allotropic waveforms and characterize the bifurcation structure, of the system with further study of the complex periodic waveforms. In addition, we demonstrate the bifurcation regularity through the union of the sets and the Farey sum.\",\"PeriodicalId\":165081,\"journal\":{\"name\":\"38th Midwest Symposium on Circuits and Systems. Proceedings\",\"volume\":\"32 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1995-08-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"38th Midwest Symposium on Circuits and Systems. Proceedings\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MWSCAS.1995.504514\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"38th Midwest Symposium on Circuits and Systems. Proceedings","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MWSCAS.1995.504514","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The non-piecewise-linear autonomous system. II. The complex bifurcation structure
In the companion paper (see ibid., p. 612-15, Aug. 1995), we have presented novel time waveforms revealed in the non-piecewise-linear autonomous system (NPLAS) and have advanced a numerical symbol representation to analyze the complex waveforms. In this paper, we introduce definitions of the unit waveforms and the allotropic waveforms and characterize the bifurcation structure, of the system with further study of the complex periodic waveforms. In addition, we demonstrate the bifurcation regularity through the union of the sets and the Farey sum.