2023⁃03⁃10计算机应用,JournalofComputerApplications2023,43(3):956-961ISSN1001⁃9081CODENJYIIDUhttp：//www.joca.cn可控网格多涡卷混沌系统族及其硬件电路实现马英杰，肖靖*，赵耿，曾萍，杨亚涛（北京电子科技学院电子与通信工程系，北京100070）（∗通信作者电子邮箱2703185395@qq.com）摘要：为加强混沌系统在通信链路的抗干扰和抗截获等性能，提高混沌系统性态的复杂度，基于典型蔡氏电路和阶梯函数，构造了一类数量可控的新型网格多涡卷混沌系统族。首先利用两组阶梯函数作为系统的非线性控制器，分别控制网格多涡卷混沌吸引子的奇偶列数和排列行数，并保持混沌吸引子中涡卷与键带的相互间置，以实现网格多涡卷的任意奇偶列数；然后对系统的平衡点、李雅普诺夫指数和吸引子等动力学特性进行理论分析和数值仿真实现；最后通过现场可编程门阵列（FPGA）给出最多4行12列网格多涡卷的硬件实验结果。软硬件实验结果和理论分析结果完全一致，进一步验证了所提系统的物理可实现性。关键词：网格多涡卷；阶梯函数；蔡氏电路；混沌吸引子；现场可编程门阵列中图分类号：TP391.9文献标志码：AControllablegridmulti-scrollchaoticsystemfamilyanditshardwarecircuitimplementationMAYingjie，XIAOJing*，ZHAOGeng，ZENGPing，YANGYatao（DepartmentofElectronicandCommunicationEngineering，BeijingElectronicScienceandTechnologyInstitute，Beijing100070，China）Abstract:Inordertostrengthenanti-interferenceandanti-interceptionperformanceofchaoticsystemincommunicationlink，andimprovecomplexityofchaoticsystembehavior，basedontypicalChua’scircuitandstepfunction，anewtypeofgridmulti-scrollchaoticsystemfamilywithcontrollablequantitywasconstructed.First，twosetsofstepfunctionswereusedasnonlinearcontrollersofthesystem，whichrespectivelycontrolledthenumbersoftheoddandevencolumnsandthearrangingrowsforthegridmulti-scrollchaoticattractors，andkeptthescrollsandbondsinchaoticattractorsbeinginterleavedwitheachother.Asaresult，thearbitrarynumberofoddandevencolumnsforthegridmulti-scrollwererealized.Then，thedynamicpropertiesofsystemsuchasequilibriumpoint，Lyapunovexponentandattractorweretheoreticallyanalyzedandnumericallysimulated.Finally，thehardwareexperimentresultsofupto4rowsa...
