分数阶同步Generalized synchronization of the fractional-order chaos

《分数阶同步Generalized synchronization of the fractional-order chaos 》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、NonlinearDyn(2012)69:667683DOI10.1007/s11071-011-0295-9ORIGINALPAPERGeneralizedsynchronizationofthefractional-orderchaosinweightedcomplexdynamicalnetworkswithnonidenticalnodesXiangjunWu·DarongLai·HongtaoLuReceived:25February2011/Accepted:30November2011/Publishedonline:22December201

2、1©SpringerScience+BusinessMediaB.V.2011AbstractAfractional-orderweightedcomplexnet-KeywordsFractionalorder·Chaoticsystem·workconsistsofanumberofnodes,whicharetheGeneralizedsynchronization·Weightedcomplexfractional-orderchaoticsystems,andweightedcon-networks·Nonidenticalnodesnection

3、sbetweenthenodes.Inthispaper,wein-vestigategeneralizedchaoticsynchronizationofthegeneralfractional-orderweightedcomplexdynamical1Introductionnetworkswithnonidenticalnodes.Thewell-studiedinteger-ordercomplexnetworksarethespecialcasesIntheseventeenthcentury,Huygensdiscoveredthatofthe

4、fractional-orderones.Basedonthestabilitythe-twopendulumclockshangingatthesamebeamswereoryoflinearfraction-ordersystems,thenonlinearcon-abletosynchronizetheirphaseoscillations.Sincetrollersaredesignedtomakethefractional-ordercom-then,varioussynchronizationphenomenahavebeenplexdynami

5、calnetworkswithdistinctnodesasymp-observedincoupledchaoticsystems.Amongthem,toticallysynchronizeontoanysmoothgoaldynamics.therearecompletesynchronization[1],generalizedNumericalsimulationsareprovidedtoverifythetheo-synchronization[2],projectivesynchronization[3],reticalresults.Itis

6、worthnotingthatthesynchroniza-lagsynchronization[4],etc.tioneffectsensitivelydependsonboththefractionalComplexnetworksareshowntowidelyexistinvar-orderθandthefeedbackgainki.Moreover,general-iousfieldsoftherealworldandhaveattractedincreas-izedsynchronizationofthefractional-orderweight

7、edinginterestsinrecentyears.Acomplexnetworkcannetworkscanstillbeachievedeffectivelywiththeex-beseenasalargesetofinterconnectedcommunicat-istenceofnoiseperturbation.ingandinteractingnodeswhereanodeisafundamen-talunithavingspecificcontentsandexhibitingdynam-icalbehavior.Manynaturaland

8、man-madesystems,suchasfood