{"title":"基于超混沌并行串联网络的巨混沌网络","authors":"S. Yan, Haijun Wang","doi":"10.1109/TOCS50858.2020.9339703","DOIUrl":null,"url":null,"abstract":"We present a giant chaotic network having the characteristics of a giant nonlinear chaotic dynamic system. Based on two space coupling Lorentz systems with different parameters, a hyper-chaotic energy source is used to drive each chaotic system in two-way. Which results in a parallel series network with two ways. Each node in two-way of network is a highly nonlinear dynamic system and has the chaotic characteristics, where each node of network is a chaotic system. Then, we define such network as a giant chaotic network or a giant nonlinear chaotic dynamic system. We find many hyper-chaotic states and their hyper-chaotic regions via a Lyapunov exponents diagram. We also give a bifurcation diagram to illustrate roughly dynamic behavior of the two coupling Lorentz system from a stable state to a single-periodic state, a multi-periodic state, a chaotic state and a hyper-chaotic state by shifting some parameter. And we discuss all kinds of state synchronization difference via the maximal LES. The network can be found to obtain a hyper-chaotic synchronization and all kinds of state synchronizations in all nodes in two-way. Our research result is of great significance to the research of artificial network, complex system and artificial intelligence.","PeriodicalId":373862,"journal":{"name":"2020 IEEE Conference on Telecommunications, Optics and Computer Science (TOCS)","volume":"64 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Giant Chaotic Network Based on Hyperchaotic Parallel Series Network\",\"authors\":\"S. Yan, Haijun Wang\",\"doi\":\"10.1109/TOCS50858.2020.9339703\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a giant chaotic network having the characteristics of a giant nonlinear chaotic dynamic system. Based on two space coupling Lorentz systems with different parameters, a hyper-chaotic energy source is used to drive each chaotic system in two-way. Which results in a parallel series network with two ways. Each node in two-way of network is a highly nonlinear dynamic system and has the chaotic characteristics, where each node of network is a chaotic system. Then, we define such network as a giant chaotic network or a giant nonlinear chaotic dynamic system. We find many hyper-chaotic states and their hyper-chaotic regions via a Lyapunov exponents diagram. We also give a bifurcation diagram to illustrate roughly dynamic behavior of the two coupling Lorentz system from a stable state to a single-periodic state, a multi-periodic state, a chaotic state and a hyper-chaotic state by shifting some parameter. And we discuss all kinds of state synchronization difference via the maximal LES. The network can be found to obtain a hyper-chaotic synchronization and all kinds of state synchronizations in all nodes in two-way. Our research result is of great significance to the research of artificial network, complex system and artificial intelligence.\",\"PeriodicalId\":373862,\"journal\":{\"name\":\"2020 IEEE Conference on Telecommunications, Optics and Computer Science (TOCS)\",\"volume\":\"64 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-12-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 IEEE Conference on Telecommunications, Optics and Computer Science (TOCS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/TOCS50858.2020.9339703\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 IEEE Conference on Telecommunications, Optics and Computer Science (TOCS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TOCS50858.2020.9339703","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Giant Chaotic Network Based on Hyperchaotic Parallel Series Network
We present a giant chaotic network having the characteristics of a giant nonlinear chaotic dynamic system. Based on two space coupling Lorentz systems with different parameters, a hyper-chaotic energy source is used to drive each chaotic system in two-way. Which results in a parallel series network with two ways. Each node in two-way of network is a highly nonlinear dynamic system and has the chaotic characteristics, where each node of network is a chaotic system. Then, we define such network as a giant chaotic network or a giant nonlinear chaotic dynamic system. We find many hyper-chaotic states and their hyper-chaotic regions via a Lyapunov exponents diagram. We also give a bifurcation diagram to illustrate roughly dynamic behavior of the two coupling Lorentz system from a stable state to a single-periodic state, a multi-periodic state, a chaotic state and a hyper-chaotic state by shifting some parameter. And we discuss all kinds of state synchronization difference via the maximal LES. The network can be found to obtain a hyper-chaotic synchronization and all kinds of state synchronizations in all nodes in two-way. Our research result is of great significance to the research of artificial network, complex system and artificial intelligence.