{"title":"基于泰勒-李公式的duffing振子动力学离散化方法","authors":"Gagan Deep Meena, S. Janardhanan","doi":"10.1109/ANZCC.2017.8298438","DOIUrl":null,"url":null,"abstract":"This paper proposes a new discretization model for Duffing oscillator dynamics which is governed by a second order nonlinear differential equation. A Taylor-Lie formulation based method has been used for discretization. A detailed analysis and comparison of Taylor-Lie discretized model with Euler discretized model have been presented.","PeriodicalId":429208,"journal":{"name":"2017 Australian and New Zealand Control Conference (ANZCC)","volume":"25 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Discretization of duffing oscillator dynamics by Taylor-Lie formulation based method\",\"authors\":\"Gagan Deep Meena, S. Janardhanan\",\"doi\":\"10.1109/ANZCC.2017.8298438\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper proposes a new discretization model for Duffing oscillator dynamics which is governed by a second order nonlinear differential equation. A Taylor-Lie formulation based method has been used for discretization. A detailed analysis and comparison of Taylor-Lie discretized model with Euler discretized model have been presented.\",\"PeriodicalId\":429208,\"journal\":{\"name\":\"2017 Australian and New Zealand Control Conference (ANZCC)\",\"volume\":\"25 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2017 Australian and New Zealand Control Conference (ANZCC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ANZCC.2017.8298438\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 Australian and New Zealand Control Conference (ANZCC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ANZCC.2017.8298438","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Discretization of duffing oscillator dynamics by Taylor-Lie formulation based method
This paper proposes a new discretization model for Duffing oscillator dynamics which is governed by a second order nonlinear differential equation. A Taylor-Lie formulation based method has been used for discretization. A detailed analysis and comparison of Taylor-Lie discretized model with Euler discretized model have been presented.