{"title":"Simple Chaotic Oscillator with Wideband Passive Fractional-Order Inductor","authors":"J. Petrzela, Ondrej Domansky","doi":"10.1109/TSP.2019.8769106","DOIUrl":null,"url":null,"abstract":"This paper demonstrates through computer-aided simulations that simple loop composed of single nonlinear active two-port and a fractional-order filter can generate robust chaotic attractor. Involved passive ladder trans-impedance mode filter contains two-terminal constant phase element that is accurately approximated in the frequency domain in wide frequency range; beginning at 10 Hz and ending with 1 MHz. It is shown that the mathematical order of a designed lumped chaotic system can be decreased significantly below 3 without qualitative changes in the global dynamics. Fundamental properties of the filtering network responsible for chaos evolution are specified and discussed.","PeriodicalId":399087,"journal":{"name":"2019 42nd International Conference on Telecommunications and Signal Processing (TSP)","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 42nd International Conference on Telecommunications and Signal Processing (TSP)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TSP.2019.8769106","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
This paper demonstrates through computer-aided simulations that simple loop composed of single nonlinear active two-port and a fractional-order filter can generate robust chaotic attractor. Involved passive ladder trans-impedance mode filter contains two-terminal constant phase element that is accurately approximated in the frequency domain in wide frequency range; beginning at 10 Hz and ending with 1 MHz. It is shown that the mathematical order of a designed lumped chaotic system can be decreased significantly below 3 without qualitative changes in the global dynamics. Fundamental properties of the filtering network responsible for chaos evolution are specified and discussed.
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