带宽带无源分数阶电感的简单混沌振荡器

2019 42nd International Conference on Telecommunications and Signal Processing (TSP) Pub Date : 2019-07-01 DOI:10.1109/TSP.2019.8769106

J. Petrzela, Ondrej Domansky

{"title":"带宽带无源分数阶电感的简单混沌振荡器","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":"{\"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}","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

摘要

本文通过计算机辅助仿真证明了由单非线性有源双端口和分数阶滤波器组成的简单环路可以产生鲁棒混沌吸引子。所涉及的无源阶梯式跨阻抗模式滤波器包含在宽频率范围内精确逼近频域的双端恒相元件;以10hz开始，以1mhz结束。结果表明，设计的集总混沌系统的数学阶数可以显著降低到3以下，而全局动力学没有发生质变。阐述并讨论了混沌演化滤波网络的基本性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Simple Chaotic Oscillator with Wideband Passive Fractional-Order Inductor

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

2019 42nd International Conference on Telecommunications and Signal Processing (TSP)

自引率

0.00%

发文量