{"title":"具有线平衡的动力系统混沌的实验证实","authors":"J. Petrzela","doi":"10.1109/RADIOELEK.2015.7129001","DOIUrl":null,"url":null,"abstract":"This brief paper follows a very recent discoveries involving a class of the third-order autonomous deterministic dynamical systems with degenerated, namely line equilibrium. It is proved that the corresponding mathematical models can be realized as fully analogue chaotic oscillators with commercially available active elements. The theoretical background shows typical state attractors, bifurcation diagrams with respect to variable circuit parameters as well as the basins of attraction. The proposed design procedure is straightforward and final networks can be marked as canonical in the sense of minimum necessary circuit components. The experimental verification is also presented in the sense of bifurcation sequence measured by digital oscilloscope.","PeriodicalId":193275,"journal":{"name":"2015 25th International Conference Radioelektronika (RADIOELEKTRONIKA)","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Experimental confirmation of chaos in dynamical systems with line equilibirum\",\"authors\":\"J. Petrzela\",\"doi\":\"10.1109/RADIOELEK.2015.7129001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This brief paper follows a very recent discoveries involving a class of the third-order autonomous deterministic dynamical systems with degenerated, namely line equilibrium. It is proved that the corresponding mathematical models can be realized as fully analogue chaotic oscillators with commercially available active elements. The theoretical background shows typical state attractors, bifurcation diagrams with respect to variable circuit parameters as well as the basins of attraction. The proposed design procedure is straightforward and final networks can be marked as canonical in the sense of minimum necessary circuit components. The experimental verification is also presented in the sense of bifurcation sequence measured by digital oscilloscope.\",\"PeriodicalId\":193275,\"journal\":{\"name\":\"2015 25th International Conference Radioelektronika (RADIOELEKTRONIKA)\",\"volume\":\"12 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-04-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 25th International Conference Radioelektronika (RADIOELEKTRONIKA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/RADIOELEK.2015.7129001\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 25th International Conference Radioelektronika (RADIOELEKTRONIKA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/RADIOELEK.2015.7129001","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Experimental confirmation of chaos in dynamical systems with line equilibirum
This brief paper follows a very recent discoveries involving a class of the third-order autonomous deterministic dynamical systems with degenerated, namely line equilibrium. It is proved that the corresponding mathematical models can be realized as fully analogue chaotic oscillators with commercially available active elements. The theoretical background shows typical state attractors, bifurcation diagrams with respect to variable circuit parameters as well as the basins of attraction. The proposed design procedure is straightforward and final networks can be marked as canonical in the sense of minimum necessary circuit components. The experimental verification is also presented in the sense of bifurcation sequence measured by digital oscilloscope.