{"title":"基于三次非线性MOSFET结构的蔡氏振荡器数值模拟","authors":"A. Semenov, A. Savytskyi, O. Semenova, M. Huz","doi":"10.1109/UWBUSIS.2018.8520001","DOIUrl":null,"url":null,"abstract":"The article presents the results of numerical modeling of Chua oscillator based on a metal-oxide-semiconductor field-effect transistors (MOSFET) structure with a cubic non-linearity. An overview of the Chua's oscillator circuitry basis on MOSFET structures. The approximation equation of static current-voltage characteristic with a cubic non-linearity is presented, as well as oscillator mathematical model. The phase portraits of the Chua oscillator with cubic non-linearity, time diagrams and amplitude-frequency spectra of generated oscillations are obtained. The graphs of Lyapunov exponents are presented, depending on the coefficients change in the mathematical model of the Chua oscillator with cubic non-linearity, as well as the Poincaré map.","PeriodicalId":167305,"journal":{"name":"2018 9th International Conference on Ultrawideband and Ultrashort Impulse Signals (UWBUSIS)","volume":"235 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Numerical Simulation of the Chua's Oscillator Based on a MOSFET Structure with a Cubic Nonlinearity\",\"authors\":\"A. Semenov, A. Savytskyi, O. Semenova, M. Huz\",\"doi\":\"10.1109/UWBUSIS.2018.8520001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The article presents the results of numerical modeling of Chua oscillator based on a metal-oxide-semiconductor field-effect transistors (MOSFET) structure with a cubic non-linearity. An overview of the Chua's oscillator circuitry basis on MOSFET structures. The approximation equation of static current-voltage characteristic with a cubic non-linearity is presented, as well as oscillator mathematical model. The phase portraits of the Chua oscillator with cubic non-linearity, time diagrams and amplitude-frequency spectra of generated oscillations are obtained. The graphs of Lyapunov exponents are presented, depending on the coefficients change in the mathematical model of the Chua oscillator with cubic non-linearity, as well as the Poincaré map.\",\"PeriodicalId\":167305,\"journal\":{\"name\":\"2018 9th International Conference on Ultrawideband and Ultrashort Impulse Signals (UWBUSIS)\",\"volume\":\"235 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 9th International Conference on Ultrawideband and Ultrashort Impulse Signals (UWBUSIS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/UWBUSIS.2018.8520001\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 9th International Conference on Ultrawideband and Ultrashort Impulse Signals (UWBUSIS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/UWBUSIS.2018.8520001","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Numerical Simulation of the Chua's Oscillator Based on a MOSFET Structure with a Cubic Nonlinearity
The article presents the results of numerical modeling of Chua oscillator based on a metal-oxide-semiconductor field-effect transistors (MOSFET) structure with a cubic non-linearity. An overview of the Chua's oscillator circuitry basis on MOSFET structures. The approximation equation of static current-voltage characteristic with a cubic non-linearity is presented, as well as oscillator mathematical model. The phase portraits of the Chua oscillator with cubic non-linearity, time diagrams and amplitude-frequency spectra of generated oscillations are obtained. The graphs of Lyapunov exponents are presented, depending on the coefficients change in the mathematical model of the Chua oscillator with cubic non-linearity, as well as the Poincaré map.