{"title":"外部噪声存在下的分岔与混沌","authors":"V. Anishchenko, A. Neiman","doi":"10.1364/nldos.1992.tuc26","DOIUrl":null,"url":null,"abstract":"The present work investigates the influence of external non-white noise on some bifurcations of states of equilibrium, period-doubling bifurcation and on the dynamical chaos regimes. Lorenz system [1] and Anishchenko–Astakhov oscillator [2] are used as models. The peculiarities of the present investigation are in combination of numerical simulations with physical experiment and also in the use of cumulant analysis.","PeriodicalId":441335,"journal":{"name":"Nonlinear Dynamics in Optical Systems","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Bifurcation and Chaos in the Presence of External Noise\",\"authors\":\"V. Anishchenko, A. Neiman\",\"doi\":\"10.1364/nldos.1992.tuc26\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The present work investigates the influence of external non-white noise on some bifurcations of states of equilibrium, period-doubling bifurcation and on the dynamical chaos regimes. Lorenz system [1] and Anishchenko–Astakhov oscillator [2] are used as models. The peculiarities of the present investigation are in combination of numerical simulations with physical experiment and also in the use of cumulant analysis.\",\"PeriodicalId\":441335,\"journal\":{\"name\":\"Nonlinear Dynamics in Optical Systems\",\"volume\":\"8 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\":\"Nonlinear Dynamics in Optical Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1364/nldos.1992.tuc26\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Dynamics in Optical Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1364/nldos.1992.tuc26","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Bifurcation and Chaos in the Presence of External Noise
The present work investigates the influence of external non-white noise on some bifurcations of states of equilibrium, period-doubling bifurcation and on the dynamical chaos regimes. Lorenz system [1] and Anishchenko–Astakhov oscillator [2] are used as models. The peculiarities of the present investigation are in combination of numerical simulations with physical experiment and also in the use of cumulant analysis.
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