{"title":"含惯性非线性介质的环形系统中光波传播的瞬态演化、扰动稳定性、多重稳定性和横向空间结构混沌","authors":"K. Komarov","doi":"10.1364/nldos.1990.ob271","DOIUrl":null,"url":null,"abstract":"In this paper we present our theoretical researches on shaping and stability of the transverse spatial radiation distribution in nonlinear systems. The analysis is based on constructing the Lyapunov functionals. We have determined the conditions for stable self-channelling of a light wave, its unlimited spreading, complication and chaos of transverse spatial distribution of radiation. It is demonstrated that a multithreshold self-channelling arises in nonlinear systems with several different focusing nonlinearities. The multistability phenomenon is discovered in the case of combination of focusing and defocusing nonlinearities.","PeriodicalId":441335,"journal":{"name":"Nonlinear Dynamics in Optical Systems","volume":"21 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Transient Evolution, Stability for Disturbances, Multistability, and Chaos of Transverse Spatial Structures of a Lightwave Propagating in a Ring System with Inertial Nonlinear Medium\",\"authors\":\"K. Komarov\",\"doi\":\"10.1364/nldos.1990.ob271\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we present our theoretical researches on shaping and stability of the transverse spatial radiation distribution in nonlinear systems. The analysis is based on constructing the Lyapunov functionals. We have determined the conditions for stable self-channelling of a light wave, its unlimited spreading, complication and chaos of transverse spatial distribution of radiation. It is demonstrated that a multithreshold self-channelling arises in nonlinear systems with several different focusing nonlinearities. The multistability phenomenon is discovered in the case of combination of focusing and defocusing nonlinearities.\",\"PeriodicalId\":441335,\"journal\":{\"name\":\"Nonlinear Dynamics in Optical Systems\",\"volume\":\"21 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.1990.ob271\",\"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.1990.ob271","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Transient Evolution, Stability for Disturbances, Multistability, and Chaos of Transverse Spatial Structures of a Lightwave Propagating in a Ring System with Inertial Nonlinear Medium
In this paper we present our theoretical researches on shaping and stability of the transverse spatial radiation distribution in nonlinear systems. The analysis is based on constructing the Lyapunov functionals. We have determined the conditions for stable self-channelling of a light wave, its unlimited spreading, complication and chaos of transverse spatial distribution of radiation. It is demonstrated that a multithreshold self-channelling arises in nonlinear systems with several different focusing nonlinearities. The multistability phenomenon is discovered in the case of combination of focusing and defocusing nonlinearities.
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