简介：Itisprovedthatthereisnochaoticgroupactionsonanytopologicalspacewithfreearc.InthispaperthechaoticactionsofthegrouplikeG×F,whereFisafinitegroup,arestudied.Inparticular,underasuitableassumption,ifFisacyclicgroup,thenthetopologicalspacewhichadmitsachaoticactionofZ×Fmustadmitachatotichomeomorphism.Atopologicalspacewhichadmitsachaoticgroupactionbutadmitsnochaotichorneomorphismisconstructed.

简介：一在标志空间的众所周知的混乱印射是印射的移动。然而，在标志空间的另外的混乱mappings也存在。基本变化是同等地在是的一套时间考虑这个过程不仅spaced，在分开统一时间说(印射的移动)，但是在不是的一套时间同等地spaced，如果联合起来的时间不能被确定，说。增加作为印射的移动和k-switchmapping的归纳印射被介绍。增加和k开关mappings是混乱的。

简介：Faultisacomplexdynamicsystemcontrolledbythecouplingofrocktexture,reaction,fluidflow,stress,androckdeformationmechanism.Acoupledreaction-transport-mechanicaldynamicmodelforfaultsystemisestablishedanddescribedinthispaper.AnexampleispresentedfortheShuikoushandeposit,Hunan.Theresultsofdynamicsimulationindicatethattheevolutionandmagnitudeoffracturepermeabilityofdifferentrocksaredifferent,andthatfaultingcanenhancethespatialheterogeneityofrockpermeabilityandfacilitatefluidflowandmineralizationinlocalfaultzone.Thepressureforafaultusuallyshowsavariationmodeofaperiodicoscillationwithtime,whichreflectsthechaoticbehavioroftheevolutionofafault.

简介：BasedonthetheoryofDuffingoscillatorweaksignaldetectionandthetechnologyofextendedbinaryphaseshiftkeying(EBPSK)modulation,thechaoticdemodulatorusingtheDuffingoscillatorforEBPSKsignalswasproposed.Theproposeddemodulatorcouldavoidtheproblemofdemodulationfiltersdesign,andshowstheexcellentanti-noisecapabilityofchaoticoscillatordetection.Numericalandexperimentaltestsweretakentoinvestigatetheimpactofmodulationparametersτandθonbiterrorperformanceoftheproposedmethod,andtheperformancelimitsweregotten.Theresultsshowthattheproposedchaoticdemodulatorworkswellunderaverylowsignal-to-noiseratio(SNR)conditions,andgetsSNRgainsabout20dBto30dBfromtheimpulsefilter.

简介：Thedynamicresponseofthenon-linearelasticsimplysupportedbeamsubjectedtoaxialforcesandtransverseperiodicloadisstudied.Melnikovmethodisusedtoconsiderthedynamicbehav-iorofthesystemwhosepost-bucklingpathissteady.Theeffectofthehigherordertermsinthecon-trollingequationistakenintoaccount.Itisfoundthatthefifth-ordertermshaveagreatinfluenceonthedynamicbehaviorofthesystem.Theresultshowsthatthereexisteitherhomoclinicorbitsorhete-roclinicorbitsinthesystem.Inthispaper,thecriticalvaluesofthesystementeringchaoticstatesaregiven.Thediagramofanexampleisshown.

简介：Basedoncurrentresearchonapplicationsofchaoticneuronnetworkforinformationprocessing,thestabilityandconvergenceofchaoticneuronnetworkareprovedfromtheviewpointofenergyfunction.Moreover,anewauto-associativematrixisdevisedforartificialneuralnetworkcomposedofchaoticneurons,thus,animprovedchaoticneuronnetworkforassociativememoryisbuiltup.Finally,theassociativerecallingprocessofthenetworkisanalyzedindetailandexplanationsofimprovementaregiven.

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简介：AtypeofdigitalchaoticeneryptionsystemwasproposedinRef.[1]whichusesaclassof1-Dpiecewiselinear(PWL)maptorealizechaoticencryptionanddecryptionsystemthroughtheinversesystemapproach.Inthegeneralstructureofencryptionsystem,adynamicalsystem∑(·)isusedtoconnectthelinearcombinationofn-orderdelaywiththeinputterminal.Inthispaperweshowthatthiscryptosystemcannotfrustratechosen-ciphertextattack.Atypeofchaoticencryptionsystembasedonself-synchronizingstreamcipherisproposed.Thissystemcanavoidchosen-ciphertextattackandhashighersecurity.

简介：Toseekforlower-dimensionalchaoticsystemsthathavecomplextopologicalattractorstructurewithsimplealgebraicsystemstructure,anewchaoticsystemofthree-dimensionalautonomousordinarydifferentialequationsispresented.Thenewsystemhassimplealgebraicstructure,andcandisplaya2-scrollattractorwithcomplextopologicalstructure,whichisdifferentfromtheLorenz's,Chen'sandLu¨'sattractors.Byintroducingalinearstatefeedbackcontroller,thesystemcanbecontrolledtogenerateahyperchaoticattractor.Thenovelchaoticattractor,hyperchaoticattractoranddynamicalbehaviorsofcorrespondingsystemsarefurtherinvestigatedbyemployingLyapunovexponentspectrum,bifurcationdiagram,Poincar′emappingandphaseportrait,etc.,andthenverifiedbysimulatinganexperimentalcircuit.

简介：Thechaotictransientsofacurvedfluidconveyingtubesubjectedtoanonlinearfoundationareinvestigated.TheassumptionoftheinextensibilityofthetubeisappliedtoderivethenonlineardifferentialequationofmotionviatheNewtonianapproach,withthedifferentialquadraturemethodusedtodiscretizethecurvedtubemodelinthespatialdomain.Andthenonlineardynamicmotionequationisobtained.Thenumericalanalysisshowsthat,thefinalsteadystatesaresensitivetotheinitialsystemconditionsinalargeparameterregionofthefluidspeed.Thisphenomenonofchaotictransientsisinfrequentforfluidconveyingtubes.

简介：AccordingtoLorenz,chaoticdynamicsystemshavesensitivedependenceoninitialconditions(SDIC),i.e.,thebutterfly-effect:atinydifferenceoninitialconditionsmightleadtohugedifferenceofcomputer-generatedsimulationsafteralongtime.Thus,computer-generatedchaoticresultsgivenbytraditionalalgorithmsindoubleprecisionareakindofmixtureof'true'(convergent)solutionandnumericalnoisesatthesamelevel.Today,thisdefectcanbeovercomebymeansofthe'cleannumericalsimulation'(CNS)withnegligiblenumericalnoisesinalongenoughintervaloftime.TheCNSisbasedontheTaylorseriesmethodathighenoughorderanddatainthemultipleprecisionwithlargeenoughnumberofdigits,plusaconvergencecheckusinganadditionalsimulationwithevensmallernumericalnoises.Intheory,convergent(reliable)chaoticsolutionscanbeobtainedinanarbitrarylong(butfinite)intervaloftimebymeansoftheCNS.TheCNScanreducenumericalnoisestosuchalevelevenmuchsmallerthanmicro-leveluncertaintyofphysicalquantitiesthatpropagationofthesephysicalmicro-leveluncertaintiescanbepreciselyinvestigated.Inthispaper,webrieflyintroducethebasicideasoftheCNS,anditsapplicationsinlong-termreliablesimulationsofLorenzequation,three-bodyproblemandRayleigh-Bénardturbulentflows.UsingtheCNS,itisfoundthatachaoticthree-bodysystemwithsymmetrymightdisruptwithoutanyexternaldisturbance,say,itssymmetry-breakingandsystem-disruptionare'self-excited',i.e.,out-of-nothing.Inaddition,bymeansoftheCNS,wecanprovidearigoroustheoreticalevidencethatthemicro-levelthermalfluctuationistheoriginofmacroscopicrandomnessofturbulentflows.Naturally,muchmoreprecisethantraditionalalgorithmsindoubleprecision,theCNScanprovideusanewwaytomoreaccuratelyinvestigatechaoticdynamicsystems.

简介：AlineararrayofNmutuallycoupledsingle-modelasersisinvestigated.ItisshownthattheintensitiesofNlasersarechaoticallysynchronizedwhenthecouplingbetweenlasersisrelativelystrong.Thechaoticsynchronizationofintensitiesdependsonthelocationofthelasersinthearray.Thechaoticsynchronizationappearsbetweentwooutmostlasers,thesecondtwooutmostlasers,etc.Thereisnosynchronizationbetweennearestneighborsofthelasers.IfthenumberofNisodd,themiddlelaserisneversynchronizedbetweenanylasers.ThechaoticsynchronizationofphasesbetweennearestlasersinthearrayisexaminedbyusingtheanalyticsignalandtheGaussianfiltermethodsbasedonthepeakofthepowerspectrumoftheintensity.Itcanbeseenthatthemessageofchaoticintensitysynchronizationisconveyedthroughthephasesynchronization.

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简介：在这篇论文，一个新非线性的自治系统由Chlouverakis介绍了；Sprott进一步被学习，到现在很富有；复杂非线性的动态行为。一些基本动态性质是学习任何一个经分解或数字地，印射例如Poincaré，Lyapunov代表；Lyapunov尺寸。基于这流动，新almost-Hamilton有很高的Lyapunov尺寸的混乱系统被构造；调查。二个新非线性的自治系统能被增加或省略一些经常的系数变成对方。

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简介：Thestatisticcharacteristicsofchaoticsequencesgeneratedbyimprovedlogistic-mapareanalyzedanditisfoundthatimprovedlogistic-mapchaoticsequenceshavegoodcorrelationandtheycanbeusedasaddresssequencesinspread-spectrumcommunication.Thediscrete-timesynchronizationofHenonmapisimmediate.Weapplythediscrete-timesynchronizationtochaoticspread-spectrumcomuunicationandproposeanoriginalcommunicationscheme.Thesimulationshowsthattheapplicationissuccessful.

简介：同步和建筑群的某个类型上的联合逻辑地图的模式动力学联网，由把随机的捷径加到一枚常规戒指构造了，被调查。为一张孤立的地图是充分混乱的参数，缺点骚乱，在常规网络主导，能被驯养进订的周期的模式或同步混乱状态当随机的捷径被增加时，并且在复杂网络上形成的模式能被组织进取决于联合力量的二或三个分支。

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