{"title":"分数阶复值系统中隐藏超混沌吸引子的同步及其在保密通信中的应用","authors":"A. Shoreh, N. Kuznetsov, T. Mokaev, M. Tavazoei","doi":"10.1109/ElConRus51938.2021.9396284","DOIUrl":null,"url":null,"abstract":"Synchronization of fractional-order hyperchaotic complex systems is an interesting phenomenon since it has several applications in applied sciences. Based on the complexity of hyperchaotic dynamical systems and unpredictability of hidden attractors, which may exist in their phase spaces and could be beneficial in secure communications, a scheme to derive the analytical formula of the control functions is stated to study active control synchronization. Further comparison of this analytical formula with numerical experiments yields an interesting agreement. A novel fractional-order complex Sprott system is proposed to study this kind of synchronization and its dynamics. A secure communication scheme based on the active control synchronization of hyperchaotic fractional-order complex Sprott system is presented. Two types of masked messages (plain text and audio signal) are considered as test examples.","PeriodicalId":447345,"journal":{"name":"2021 IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering (ElConRus)","volume":"226 ","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Synchronization of Hidden Hyperchaotic Attractors in Fractional-Order Complex-Valued Systems with Application to Secure Communications\",\"authors\":\"A. Shoreh, N. Kuznetsov, T. Mokaev, M. Tavazoei\",\"doi\":\"10.1109/ElConRus51938.2021.9396284\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Synchronization of fractional-order hyperchaotic complex systems is an interesting phenomenon since it has several applications in applied sciences. Based on the complexity of hyperchaotic dynamical systems and unpredictability of hidden attractors, which may exist in their phase spaces and could be beneficial in secure communications, a scheme to derive the analytical formula of the control functions is stated to study active control synchronization. Further comparison of this analytical formula with numerical experiments yields an interesting agreement. A novel fractional-order complex Sprott system is proposed to study this kind of synchronization and its dynamics. A secure communication scheme based on the active control synchronization of hyperchaotic fractional-order complex Sprott system is presented. Two types of masked messages (plain text and audio signal) are considered as test examples.\",\"PeriodicalId\":447345,\"journal\":{\"name\":\"2021 IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering (ElConRus)\",\"volume\":\"226 \",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2021 IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering (ElConRus)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ElConRus51938.2021.9396284\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering (ElConRus)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ElConRus51938.2021.9396284","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Synchronization of Hidden Hyperchaotic Attractors in Fractional-Order Complex-Valued Systems with Application to Secure Communications
Synchronization of fractional-order hyperchaotic complex systems is an interesting phenomenon since it has several applications in applied sciences. Based on the complexity of hyperchaotic dynamical systems and unpredictability of hidden attractors, which may exist in their phase spaces and could be beneficial in secure communications, a scheme to derive the analytical formula of the control functions is stated to study active control synchronization. Further comparison of this analytical formula with numerical experiments yields an interesting agreement. A novel fractional-order complex Sprott system is proposed to study this kind of synchronization and its dynamics. A secure communication scheme based on the active control synchronization of hyperchaotic fractional-order complex Sprott system is presented. Two types of masked messages (plain text and audio signal) are considered as test examples.