{"title":"维格纳分布,多平衡非线性系统和混沌行为","authors":"P. G. Adamopoulos, J. Hammond, J. S. Lee","doi":"10.1109/ICASSP.1988.197075","DOIUrl":null,"url":null,"abstract":"The Wigner distribution and chaotic behavior of systems have recently received considerable attention: the Wigner-Ville distribution, due to its advantageous time-frequency plane representation of the signals; and the chaotic behavior of certain types of nonlinear system for apparently having a deterministic form. The authors bring the two together and apply the Wigner distribution to the analysis of nonlinear system response including both nonchaotic and chaotic systems. The procedure is based on simulation of time histories and the calculation of Wigner and pseudo-Wigner distributions.<<ETX>>","PeriodicalId":448544,"journal":{"name":"ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing","volume":"28 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1988-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"The Wigner distribution, multi-equilibria nonlinear systems and chaotic behaviour\",\"authors\":\"P. G. Adamopoulos, J. Hammond, J. S. Lee\",\"doi\":\"10.1109/ICASSP.1988.197075\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Wigner distribution and chaotic behavior of systems have recently received considerable attention: the Wigner-Ville distribution, due to its advantageous time-frequency plane representation of the signals; and the chaotic behavior of certain types of nonlinear system for apparently having a deterministic form. The authors bring the two together and apply the Wigner distribution to the analysis of nonlinear system response including both nonchaotic and chaotic systems. The procedure is based on simulation of time histories and the calculation of Wigner and pseudo-Wigner distributions.<<ETX>>\",\"PeriodicalId\":448544,\"journal\":{\"name\":\"ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing\",\"volume\":\"28 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1988-04-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICASSP.1988.197075\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICASSP.1988.197075","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Wigner distribution, multi-equilibria nonlinear systems and chaotic behaviour
The Wigner distribution and chaotic behavior of systems have recently received considerable attention: the Wigner-Ville distribution, due to its advantageous time-frequency plane representation of the signals; and the chaotic behavior of certain types of nonlinear system for apparently having a deterministic form. The authors bring the two together and apply the Wigner distribution to the analysis of nonlinear system response including both nonchaotic and chaotic systems. The procedure is based on simulation of time histories and the calculation of Wigner and pseudo-Wigner distributions.<>