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1、华中科技大学硕士学位论文AbstractPublicopiniondynamicsofdiscreteandpolymorphismisahotpointinsocialphysics.Combinationofcomplexnetworkandpublicopiniondynamicsisamaintendencyatpresent.Socialpublicopinionevolutioniscloselyrelatedtonetworktopologicalstructure,andeffectedbytheinfluenceofex
2、ternalfactorsinthemeantime,forexample,governmentpolicy,mediainsociety,accidentalevent.Inthisthesis,baseonthechangingtopologicalstructureoffree-scalenetwork,weintroduceexternalfieldinthemodel.Theexternalfield’sexpressioniseγkh.Westudytheevolutionlawofnetworkdegreedistribut
3、ion,thenumberofsocietyforpublicopinion(thedistributionofopinionvalue,i.e.)andthesumofpublicopinionvalue.Wefoundtheevolutionofopinionformationreallyisinfluencedbynetworkstructuralandexternalfieldsimultaneously.Theevolutionenablesamorediversifiedtrend.Wefoundpublicopinionco
4、unttakesonthephenomenonofcoagulationwithtimepassingingeneral.Thenumberofpublicopinionevendecreasestoone.Namelypublicopinionreachesaconsensus.Wefirstlystudythedynamicsruleofpublicopinionevolution,whenexternalfieldiszero.Thefree-scalenetworkmodelisconstructed,inwhichthetopo
5、logicalstructurechangesconstantly.Theevolutionthresholdparametersφandrandomsequence0parametersφareintroducedtodepicttheprocessofevolution,andcorrespondingjevolutionrulesareillustrated.Itisfoundthattheevolutionofthepublicopinionisnotonlycontrolledbythetopologicalstructure,
6、butalsoinducesthechangeofthetopologicalstructure.Thenetworkstructureisnomoretheinitialscale-freenetwork.Withtheincreaseoftheevolutionthresholdparameters,thelargercommunitiesdecreasewhiletheaveragenumbersofthesmallercommunitiesincrease.Itisindicatedthatnotonlytheopinionval
7、ueobviouslyconvergewiththeevolutionthresholdparametersincreases,butalsotheevolutionoftheopinionshowsastrongconvergenceeffect.Thedozensofopinionvalueininitialstateevolvewiththetime.Mostofthemperishbutonlyafewofthemsurviveandgetstrongerafteralongtime.Thetrendiscoincidentwit
8、htheevolutionofthepublicopinion,viewsandbeliefsinthesociety.III华中科技大学硕士学位论文Thenweintroduceextern
