{"title":"具有非齐次非平稳非完整关系的Bilimovich系统","authors":"A. Borisov, E. Mikishanina, A. Tsiganov","doi":"10.1109/NIR50484.2020.9290203","DOIUrl":null,"url":null,"abstract":"The paper will consider the Bilimovich system, which can be considered as one of the examples with nonholonomic non-stationary inhomogeneous relation. We consider the case when there is no energy integral. The behavior of the system is quite complex, and strange attractors appear. Poincaré maps and dynamic mode maps are constructed and studied.","PeriodicalId":274976,"journal":{"name":"2020 International Conference Nonlinearity, Information and Robotics (NIR)","volume":"73 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Bilimovich System with inhomogeneous non-stationary nonholonomic relation\",\"authors\":\"A. Borisov, E. Mikishanina, A. Tsiganov\",\"doi\":\"10.1109/NIR50484.2020.9290203\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper will consider the Bilimovich system, which can be considered as one of the examples with nonholonomic non-stationary inhomogeneous relation. We consider the case when there is no energy integral. The behavior of the system is quite complex, and strange attractors appear. Poincaré maps and dynamic mode maps are constructed and studied.\",\"PeriodicalId\":274976,\"journal\":{\"name\":\"2020 International Conference Nonlinearity, Information and Robotics (NIR)\",\"volume\":\"73 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-12-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 International Conference Nonlinearity, Information and Robotics (NIR)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/NIR50484.2020.9290203\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 International Conference Nonlinearity, Information and Robotics (NIR)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/NIR50484.2020.9290203","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the Bilimovich System with inhomogeneous non-stationary nonholonomic relation
The paper will consider the Bilimovich system, which can be considered as one of the examples with nonholonomic non-stationary inhomogeneous relation. We consider the case when there is no energy integral. The behavior of the system is quite complex, and strange attractors appear. Poincaré maps and dynamic mode maps are constructed and studied.
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