{"title":"量子化混沌系统","authors":"R. Graham","doi":"10.1364/idlnos.1985.thc1","DOIUrl":null,"url":null,"abstract":"Chaos is a typical form of dynamical behavior of classical nonlinear dynamical systems. In conservative Hamiltonian systems with f degrees of freedom chaos appears if the system is not intergrable and in some regions of phase space trajectories are not restricted to f-dimensional smooth manifolds. In dissipative systems chaos in the dynamical steady state appears if the system has a strange attractor in configuration space.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"48 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quantized Chaotic Systems\",\"authors\":\"R. Graham\",\"doi\":\"10.1364/idlnos.1985.thc1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Chaos is a typical form of dynamical behavior of classical nonlinear dynamical systems. In conservative Hamiltonian systems with f degrees of freedom chaos appears if the system is not intergrable and in some regions of phase space trajectories are not restricted to f-dimensional smooth manifolds. In dissipative systems chaos in the dynamical steady state appears if the system has a strange attractor in configuration space.\",\"PeriodicalId\":262701,\"journal\":{\"name\":\"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems\",\"volume\":\"48 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.thc1\",\"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.thc1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Chaos is a typical form of dynamical behavior of classical nonlinear dynamical systems. In conservative Hamiltonian systems with f degrees of freedom chaos appears if the system is not intergrable and in some regions of phase space trajectories are not restricted to f-dimensional smooth manifolds. In dissipative systems chaos in the dynamical steady state appears if the system has a strange attractor in configuration space.