{"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}
引用次数: 1
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.
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