{"title":"随时间变化的参数变化对倍周期混沌路径的影响。","authors":"R. Kapral, P. Mandel","doi":"10.1364/idlnos.1985.thd2","DOIUrl":null,"url":null,"abstract":"A common method for investigating bifurcation points in physical systems consists in slowly changing a control parameter and observing the state of the system as a function of the instantaneous value of the parameter. The main reason for adopting this procedure is it’s convenience: An entire bifurcation diagram can be constructed in a single sweep of the bifurcation parameter. The literature on laser instabilities contains many examples of such studies.1","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"52 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Effects of Time-Dependent-Pararameter Variation on the Period-Doubling Route to Chaos.\",\"authors\":\"R. Kapral, P. Mandel\",\"doi\":\"10.1364/idlnos.1985.thd2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A common method for investigating bifurcation points in physical systems consists in slowly changing a control parameter and observing the state of the system as a function of the instantaneous value of the parameter. The main reason for adopting this procedure is it’s convenience: An entire bifurcation diagram can be constructed in a single sweep of the bifurcation parameter. The literature on laser instabilities contains many examples of such studies.1\",\"PeriodicalId\":262701,\"journal\":{\"name\":\"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems\",\"volume\":\"52 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1364/idlnos.1985.thd2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1364/idlnos.1985.thd2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Effects of Time-Dependent-Pararameter Variation on the Period-Doubling Route to Chaos.
A common method for investigating bifurcation points in physical systems consists in slowly changing a control parameter and observing the state of the system as a function of the instantaneous value of the parameter. The main reason for adopting this procedure is it’s convenience: An entire bifurcation diagram can be constructed in a single sweep of the bifurcation parameter. The literature on laser instabilities contains many examples of such studies.1