{"title":"四阶和五阶超跳混沌函数的正则电路实现","authors":"J. Petrzela","doi":"10.1109/RADIOELEK.2019.8733499","DOIUrl":null,"url":null,"abstract":"This brief paper describes design process toward the simplest lumped circuit implementation of the hyper-jerk function. This is single nonlinear ordinary differential equation able to produce a variety of the robust dense chaotic attractors. Designed oscillators can be considered as canonical in the sense of minimum total number of the circuit elements required for construction. Circuit concept can be understood as the looped system of composed by the active nonlinear two-port and fully passive ladder frequency filter. Fingerprints of robust chaos are provided via numerical analysis, computer-aided simulation and experimental measurement.","PeriodicalId":336454,"journal":{"name":"2019 29th International Conference Radioelektronika (RADIOELEKTRONIKA)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Canonical Circuit Realizations of Fourth-Order and Fifth-Order Hyperjerk Chaotic Function\",\"authors\":\"J. Petrzela\",\"doi\":\"10.1109/RADIOELEK.2019.8733499\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This brief paper describes design process toward the simplest lumped circuit implementation of the hyper-jerk function. This is single nonlinear ordinary differential equation able to produce a variety of the robust dense chaotic attractors. Designed oscillators can be considered as canonical in the sense of minimum total number of the circuit elements required for construction. Circuit concept can be understood as the looped system of composed by the active nonlinear two-port and fully passive ladder frequency filter. Fingerprints of robust chaos are provided via numerical analysis, computer-aided simulation and experimental measurement.\",\"PeriodicalId\":336454,\"journal\":{\"name\":\"2019 29th International Conference Radioelektronika (RADIOELEKTRONIKA)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2019 29th International Conference Radioelektronika (RADIOELEKTRONIKA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/RADIOELEK.2019.8733499\",\"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 29th International Conference Radioelektronika (RADIOELEKTRONIKA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/RADIOELEK.2019.8733499","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the Canonical Circuit Realizations of Fourth-Order and Fifth-Order Hyperjerk Chaotic Function
This brief paper describes design process toward the simplest lumped circuit implementation of the hyper-jerk function. This is single nonlinear ordinary differential equation able to produce a variety of the robust dense chaotic attractors. Designed oscillators can be considered as canonical in the sense of minimum total number of the circuit elements required for construction. Circuit concept can be understood as the looped system of composed by the active nonlinear two-port and fully passive ladder frequency filter. Fingerprints of robust chaos are provided via numerical analysis, computer-aided simulation and experimental measurement.