asymmetric effects on stochastic resonance in the bistable system subject to cor

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1、August22,20129:12WSPC/Guidelines-IJMPBS0217979212501251InternationalJournalofModernPhysicsBVol.26,No.24(2012)1250125(14pages)cWorldScientificPublishingCompanyDOI:10.1142/S0217979212501251ASYMMETRICEFFECTSONSTOCHASTICRESONANCEINTHEBISTABLESYSTEMSUBJECTTOC

2、ORRELATEDNOISESFEILONGandDONGCHENGMEIDepartmentofPhysics,YunnanUniversity,Kunming650091,ChinaReceived2March2012Revised14April2012Accepted26April2012Published22August2012Asymmetriceffectsonthestochasticresonance(SR)inthebistablesystemwithcor-relatednoises

3、areinvestigated.Basedonthetheoryofsignal-to-noiseratio(SNR),theexpressionsofSNRarederivedforthecaseoftheadditivesignalandthecaseofthemultiplicativesignal,respectively.Throughthenumericalcomputation,itisfoundinbothcasesofadditiveandmultiplicativeperiodic

4、signals(i)TheasymmetriceffectsonSRphenomenoninthesysteminducedbythemultiplicativenoiseisdependentofinitialconditions,i.e.,theasymmetricparameterrweakenstheSRfortheinitialconditionofx(t=0)=x+,however,renhancestheSRfortheinitialconditionofx(t=0)=x−;(ii)The

5、asymmetriceffectsonSRphenomenoninthesysteminducedbytheadditivenoiseandthecorrelationbetweennoisesisindependentofinitialconditions,i.e.,theralwaysenhancetheSR;(iii)Synergisticactionofthenoises,thecorrelationbetweennoises,theperiodicsignalandthesystem’sasy

6、mmetryinducessymmetryrevival.Keywords:Stochasticresonance;correlatednoises;asymmetriceffects;bistablesystem.PACSnumbers:05.40.-a,05.40.Ca,02.50.-r,02.50.Ey1.IntroductionTheconceptofstochasticresonance(SR)wasoriginallybroughtforwardbyBenziandco-workersint

7、hesignificantpapersconcerningtheglacialperiodinpaleocli-matology.1,2Nicolisetal.putforwardthesamenotionindependently.3,4SRwasextensivelyinvestigatedduetoitsprospectiveapplications.1–22SincethentheSRphenomenonhasbeensufficientlyinvestigatednotonlyintheoreti

8、calstudybutalsoinexperimentalresearchinmanyfields.NowtheapplicationsofSRhasbeenextendedinsuchdiversefieldsaselectronicandmagneticsystems,climatology,chemistry,laserphysiology,neuroscience,biophysics,solid-statephysicsandevensociolo