简介：Aconstructivetheoremisestablishedforgeneralizedsynchronization(GS)relatedtoC1diffeomorphictransformationsofunidirectionallycoupleddynamicalarrays.ThetheoremprovidessomeinterpretationsabouttheunderlyingmechanismofvariousGSphenomenainnature.Asadirectapplicationofthetheorem,achaos-basedsecureInternetcommunicationschemeisproposed.Moreover,acellularneuralnetwork(CNN)ofChen'schaoticcircuitswithGSpropertyisdesignedandstudied.NumericalsimulationshowsthatthisChen'sCNNhashighsecurityandisfastandreliableforsecureInternetcommunications.
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