{"title":"多项式混沌动力学的分段线性逼近","authors":"J. Petrzela","doi":"10.1109/TSP.2011.6043717","DOIUrl":null,"url":null,"abstract":"This paper briefly shows the influence of handmade picewise-linear approximation on the global dynamics on the selected third-order systems with the quadratic vector fields. These effects are demonstrated using concept of the Ljapunov exponents calculation. The approximated systems are verified by means of the real electronic circuits derived using integrator synthesis and time-domain analysis in Oread Pspice simulator. The universality of the proposed method is discussed and future perspectives are provided.","PeriodicalId":341695,"journal":{"name":"2011 34th International Conference on Telecommunications and Signal Processing (TSP)","volume":"44 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"On the piecewise-linear approximation of the polynomial chaotic dynamics\",\"authors\":\"J. Petrzela\",\"doi\":\"10.1109/TSP.2011.6043717\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper briefly shows the influence of handmade picewise-linear approximation on the global dynamics on the selected third-order systems with the quadratic vector fields. These effects are demonstrated using concept of the Ljapunov exponents calculation. The approximated systems are verified by means of the real electronic circuits derived using integrator synthesis and time-domain analysis in Oread Pspice simulator. The universality of the proposed method is discussed and future perspectives are provided.\",\"PeriodicalId\":341695,\"journal\":{\"name\":\"2011 34th International Conference on Telecommunications and Signal Processing (TSP)\",\"volume\":\"44 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-10-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 34th International Conference on Telecommunications and Signal Processing (TSP)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/TSP.2011.6043717\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 34th International Conference on Telecommunications and Signal Processing (TSP)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TSP.2011.6043717","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the piecewise-linear approximation of the polynomial chaotic dynamics
This paper briefly shows the influence of handmade picewise-linear approximation on the global dynamics on the selected third-order systems with the quadratic vector fields. These effects are demonstrated using concept of the Ljapunov exponents calculation. The approximated systems are verified by means of the real electronic circuits derived using integrator synthesis and time-domain analysis in Oread Pspice simulator. The universality of the proposed method is discussed and future perspectives are provided.
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