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1、August22,20129:12WSPC/Guidelines-IJMPBS0217979212501251InternationalJournalofModernPhysicsBVol.26,No.24(2012)1250125(14pages)cWorldScienti?cPublishingCompanyDOI:10.1142/S0217979212501251ASYMMETRICEFFECTSONSTOCHASTICRESONANCEINTHEBISTABLESYSTEMSUBJECTTOC
2、ORRELATEDNOISESFEILONGandDONGCHENGMEIDepartmentofPhysics,YunnanUniversity,Kunming650091,ChinaReceived2March2012Revised14April2012Accepted26April2012Published22August2012Asymmetrice?ectsonthestochasticresonance(SR)inthebistablesystemwithcor-relatednoises
3、areinvestigated.Basedonthetheoryofsignal-to-noiseratio(SNR),theexpressionsofSNRarederivedforthecaseoftheadditivesignalandthecaseofthemultiplicativesignal,respectively.Throughthenumericalcomputation,itisfoundinbothcasesofadditiveandmultiplicativeperiodic
4、signals(i)Theasymmetrice?ectsonSRphenomenoninthesysteminducedbythemultiplicativenoiseisdependentofinitialconditions,i.e.,theasymmetricparameterrweakenstheSRfortheinitialconditionofx(t=0)=x+,however,renhancestheSRfortheinitialconditionofx(t=0)=x?;(ii)The
5、asymmetrice?ectsonSRphenomenoninthesysteminducedbytheadditivenoiseandthecorrelationbetweennoisesisindependentofinitialconditions,i.e.,theralwaysenhancetheSR;(iii)Synergisticactionofthenoises,thecorrelationbetweennoises,theperiodicsignalandthesystem’sasy
6、mmetryinducessymmetryrevival.Keywords:Stochasticresonance;correlatednoises;asymmetrice?ects;bistablesystem.PACSnumbers:05.40.-a,05.40.Ca,02.50.-r,02.50.Ey1.IntroductionTheconceptofstochasticresonance(SR)wasoriginallybroughtforwardbyBenziandco-workersint
7、hesigni?cantpapersconcerningtheglacialperiodinpaleocli-matology.1,2Nicolisetal.putforwardthesamenotionindependently.3,4SRwasextensivelyinvestigatedduetoitsprospectiveapplications.1–22SincethentheSRphenomenonhasbeensu?cientlyinvestigatednotonlyintheoreti
8、calstudybutalsoinexperimentalresearchinmany?elds.NowtheapplicationsofSRhasbeenextendedinsuchdiverse?eldsaselectronicandmagneticsystems,climatology,chemistry,laserphysiology,neuroscience,biophysics,solid-statephysicsandevensociolo
