{"title":"李雅普诺夫指数的先进并行处理方法经实际电路验证","authors":"T. Gotthans, J. Petrzela, Z. Hrubos","doi":"10.1109/RADIOELEK.2011.5936392","DOIUrl":null,"url":null,"abstract":"An advanced method for parallel computation of Lyapunov exponents in nonlinear parameter dependent continuous dynamical systems is presented. For computing exponents MATLAB with Parallel Toolbox was used. A simplest physical chaotic flow published in [2] was chosen and mathematically analysed. Obtained equation's parameters were calculated and synthesized into a circuit. Realization was implemented into a analog circuit and compared with the theory.","PeriodicalId":267447,"journal":{"name":"Proceedings of 21st International Conference Radioelektronika 2011","volume":"155 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Advanced parallel processing of Lyapunov exponents verified by practical circuit\",\"authors\":\"T. Gotthans, J. Petrzela, Z. Hrubos\",\"doi\":\"10.1109/RADIOELEK.2011.5936392\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An advanced method for parallel computation of Lyapunov exponents in nonlinear parameter dependent continuous dynamical systems is presented. For computing exponents MATLAB with Parallel Toolbox was used. A simplest physical chaotic flow published in [2] was chosen and mathematically analysed. Obtained equation's parameters were calculated and synthesized into a circuit. Realization was implemented into a analog circuit and compared with the theory.\",\"PeriodicalId\":267447,\"journal\":{\"name\":\"Proceedings of 21st International Conference Radioelektronika 2011\",\"volume\":\"155 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-04-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 21st International Conference Radioelektronika 2011\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/RADIOELEK.2011.5936392\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 21st International Conference Radioelektronika 2011","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/RADIOELEK.2011.5936392","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Advanced parallel processing of Lyapunov exponents verified by practical circuit
An advanced method for parallel computation of Lyapunov exponents in nonlinear parameter dependent continuous dynamical systems is presented. For computing exponents MATLAB with Parallel Toolbox was used. A simplest physical chaotic flow published in [2] was chosen and mathematically analysed. Obtained equation's parameters were calculated and synthesized into a circuit. Realization was implemented into a analog circuit and compared with the theory.
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