{"title":"初始条件和奇异摄动参数值对动力系统振荡行为影响的数值研究","authors":"Zuzana Sutova, R. Vrabel","doi":"10.1109/INCoS.2016.28","DOIUrl":null,"url":null,"abstract":"The paper deals with a nonlinear dynamical system described by a singularly perturbed second-order differential equation and its sensitivity both on changing values of a singular perturbation parameter placed at the highest derivative of the equation and on the initial conditions. The results of the change are numerically modelled using the MATLAB built-in ode45 solver.","PeriodicalId":102056,"journal":{"name":"2016 International Conference on Intelligent Networking and Collaborative Systems (INCoS)","volume":" 10","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Numerical Investigation of Initial Condition and Singular Perturbation Parameter Value Influence on the Dynamical System Oscillatory Behaviour\",\"authors\":\"Zuzana Sutova, R. Vrabel\",\"doi\":\"10.1109/INCoS.2016.28\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper deals with a nonlinear dynamical system described by a singularly perturbed second-order differential equation and its sensitivity both on changing values of a singular perturbation parameter placed at the highest derivative of the equation and on the initial conditions. The results of the change are numerically modelled using the MATLAB built-in ode45 solver.\",\"PeriodicalId\":102056,\"journal\":{\"name\":\"2016 International Conference on Intelligent Networking and Collaborative Systems (INCoS)\",\"volume\":\" 10\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 International Conference on Intelligent Networking and Collaborative Systems (INCoS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/INCoS.2016.28\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 International Conference on Intelligent Networking and Collaborative Systems (INCoS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/INCoS.2016.28","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Numerical Investigation of Initial Condition and Singular Perturbation Parameter Value Influence on the Dynamical System Oscillatory Behaviour
The paper deals with a nonlinear dynamical system described by a singularly perturbed second-order differential equation and its sensitivity both on changing values of a singular perturbation parameter placed at the highest derivative of the equation and on the initial conditions. The results of the change are numerically modelled using the MATLAB built-in ode45 solver.