混沌序列及其在保密通信系统应用中的研究

I摘要非线性科学发展使得我们对世界认识发生了改变，其中混沌现象的发现更是给科学界带来了新的生命力。混沌现象是确定系统产生的类随机的、对初值敏感依赖、在有限范围内具有遍历性的一种运动现象，学者形象的称之为“确定的不确定运动”。混沌运动具有普遍意义，在现实生活中很多，所以应用也很广泛。混沌现象的频谱带宽、类噪声和非周期特性使得混沌可以很好地应用于保密通信中。混沌理论的提出及发展经历了几代科学家，保密通信领域研究的历史也是其中重要一部分，混沌应用在保密通信中具有时代意义和现实意义。本文阐述了混沌的定义和其自身的属性及其优秀的保密性，混沌信号在保密通信中进行了不断地实验和研究的内容；混沌保密通信离不开混沌同步，同步需要控制来进行；介绍混沌同步控制的几种理论方法，例如完全同步与广义同步；提到混沌在保密通信调制时的方法，涉及到密码学的基本知识，对密码学基础做了简单介绍；着重就驱动-响应同步方法原理进行描述，并列出了蔡氏电路的实现思路。最后，就混沌研究中未来还需解决的问题进行列举。关键字：混沌；保密通信；混沌同步IIAbstractThedevelopmentofnonlinearsciencehascausedustochangetheworldcognition,andthediscoveryofchaosphenomenonbringsnewlifetosciencefield.Chaosistodeterminethesystemtoproducetheclassrandom,sensitivetoinitialvaluedependence,isaphenomenonofmovementoftheergodicityinalimitedrange,thescholarssaidtodeterminetheuncertainmovement.Chaoticmotionisofuniversalsignificance,anditiswidelyusedinreallife.Thechaoticphenomenaofthespectrumbandwidth,theclassnoiseandthenonperiodicpropertymakethechaoscanbewellappliedinthesecurecommunication.Chaostheoryisproposedanddevelopmenthasgonethroughseveralgenerationsofscientistsandconfidentialcommunicationresearchinthefieldofhistoryisoneofimportantpart,theapplicationsofchaosinsecurecommunicationhashistoricalsignificanceandpracticalsignificance.Inthispaper,thedefinitionofchaosanditspropertiesandgoodconfidentiality,chaoticsignalinsecurecommunicationwereconstantlyexperimentsandresearchcontent;chaoticsecurecommunicationisinseparablefromthechaossynchronization,synchronouscontrolof;atheoreticalmethodofchaoticsynchronizationcontrolisintroduced,suchasfullysynchronousandgeneralizedsynchronization;mentionchaosinsecurecommunicationmodulationmethod,thebasicknowledgerelatedtocryptography,onthebasisofcryptographydosimpleintroduction;focusesondriveresponsesynchronizationmethodandprinciplearedescribed,andliststherealizationideaofChua'scircuit.Finally,theproblemsthatneedtobesolvedinthefutureofchaosresearcharelisted.Keywords:chaos,；securecommunication；chaossynchronization目录1绪论.................................................................................................................................................................11.1研究背景及意义.........................................................................................................11.2混沌研究的发展.........................................................................................................21.3论文的内容及安排.....................................................................................................32混沌基本理论............................................................................................................................................52.1混沌的定义................................................................................................................52.2混沌运动特征.............................................................................................................72.3混沌信号.....................................................................................................................82.4混沌通信.....................................................................................................................93混沌系统的同步.......................................................................................................................................123.1混沌同步概念...........................................................................................................123.2同步控制原理...........................................................................................................123.3混沌系统的完全同步...............................................................................................133.3.1自适应同步........................................................................................................133.3.2线性耦合同步....................................................................................................173.3.3非线性反馈同步................................................................................................173.3.4其他几种混沌同步方法....................................................................................183.4混沌系统的广义同步...............................................................................................184混沌在保密通信中的应用....................................................................................................................204.1混沌同步保密通信原理...........................................................................................204.2密码学与混沌加密...................................................................................................214.3PC同步保密通信...................................................................................................234.3.1PC混沌同步原理.............................................................................................234.3.2蔡氏电路的实现..............................................................................................24总结与展望......................................................................................................................................................27致谢.......................