ֻ40जֻ1௹郑州大学学报(理学版)Vol140No11 2008୍3ᄅ.(.)Mar12008ࠎႿླྀ࿐֥ࣜ࠶ሧ༢ဆ߄ࠏ张 杰,赵 峰(ת॓ն࿐ࣜ࠶ܵ࿐ჽתౝ֛266510)ᅋေ:ླྀ࿐ં൞࣮༢ླྀטؿᅚࠣဆ߄ࠏ֥ᇗေં۽ऎ,ࢣൕਔ༢ဆ߄֥ࠎԤބ৯ჷಅ.ࣜ࠶ሧࠃ൞၂۱൳؟ၹ႕ཙބᇅჿ֥༢ݖӱ,۴ऌླྀ࿐ં,ٳ༅ਔࣜ࠶ሧ༢ဆ߄ؿᅚ֥ࠏ,ࡹ৫ਔࣜ࠶ሧ༢ဆ߄ؿᅚ֥৯࿐ଆ,ѩၛڿ۪ष٢ުޑࡾസࣜ࠶ሧ༢֥ဆ߄ݖӱູ২ࣉྛਔٟᆇ,֤ԛਔՖ1983୍ၛটޑࡾസࣜ࠶ሧ༢֥ؿᅚࠏࠣᄎྛ݅ࠖ,ӂඍਔ24୍ᇏޑࡾസࣜ࠶ሧᆟҦሇэࠣః၇ऌ.ܱՍ:ླྀ࿐;ࣜ࠶ሧ༢;эၹሰ;ླྀטၹሰᇏٳোݼ:N941 ໓ᅣщݼ:1671-6841(2008)01-0065-050 ႄླྀ࿐ં൞Ⴎ20ൗࡀ70୍ս֥৳Ϲ֣ݓ࿐ᆀݗड़ࡹ৫.֥ݗड़ᄝٳ༅նਈൌဒ֥ࠎԤഈ,ሹࢲԛ༢ဆ߄ؿᅚ֥၂Ϯหׄѩࡼູܼ௴ђൡႨ֥ܿ,ੰӫᆭູၢჰᄵ.ھჰᄵಪູ෮Ⴕ༢ဆ߄ؿᅚ֞ਢࢸׄൈ߶ؿളཌྷэ,Վൈ,ॹэਈؓ༢ဆ߄ؿᅚ؇ॹત҂ᄜఏቔႨ,તэਈᄵᇶᄚሢဆ߄ؿᅚ֥ࣉӱ,ѩᆦሢॹэਈ֥ྛູ[1].ࠎႿતэਈᆦॹэਈ֥ჰ,ᄝ࣮༢ཌྷэหׄطษં༢֥ဆ߄ؿᅚൈ,ॖၛՖ༢ဆ߄ٚӱᇏཨಀ෮Ⴕ֥ॹэਈ,ࠧႨતэਈіൕॹэਈ,Ֆط֤֞Ⴈഒඔࠫ۱તэਈіൕ֥֮ົٚӱ.گᄖ༢֥ဆ߄ؿᅚٚӱсྶ൞٤ཌྟ֥ັٳٚӱ,Ֆ༢ဆ߄ؿᅚ֥ྟᇉটٳ༅,ᆺႵ٤ཌྟັٳٚӱҌթᄝ؟۱קࢳ,Ҍିّ႘༢ՖཟႵሑ֥ဆ߄ؿᅚ[2-3].ၹՎ,Ⴈ࣮گᄖऍ༢ဆ߄֥ླྀ࿐ٳ༅ࣜ࠶༢,ંഈ൞ॖྛ.֥Ч໓࿊ᄴڿ۪ष٢ުޑࡾസ֥ࣜ࠶ሧູ২ࣉྛٳ༅,࣮ؓའ൞ޑࡾസᅞሧ࿊ᄴ౦ঃ,ѩၛՎট࣮ޑࡾസࣜ࠶ؿᅚݖӱᇏթᄝ֥໙,ีູႵܱ҆थҦิ܂ᆟҦࡹၰ.1 ࣜ࠶ሧ༢৯࿐ଆ֥ܒࡹ ࣜ࠶ሧ༢৯࿐ଆ֥ࢲܒҕඔᅞሧ֥ඔਈࠣܒႵᇹႿษંܥקሧЧթਈэ߄ࠣఃٳ҃౦ঃ.๙ӈದૌϜሧٳӮൡႋྟሧაᇶྟሧਆো,ൡႋྟሧ൞۴ऌ֒ൈ֥ᆟᇍa॓aࣜ࠶֩ഠ߶่ࡱ,ሧᆀсྶࣉྛ֥ሧྛູ;ᇶྟሧປಆ൞ႮఒြࡅЧദ֥නམaၩ჻টथק֥ሧ,൳ሧᆀ۱ದ֥ொݺaਲࠃྟ႕ཙ.ᄝ၂۱؋ൈ௹ଽ,ᆟᇍ่ࡱa่॓ࡱ၂Ϯ҂߶ڿэ,ൡႋྟሧॖಪູ൞҂э߄,֥طษંᇶྟሧࣼିّ႘ᅞሧ֥౦ঃ.ၛ҂ሧथҦྙӮ҂ሧູࠢหᆘ֥ሧᆀܒྙٳ҃൞Ч໓૭ཿሧ༢หᆘ֥эਈ[4-5],ᇶေ࣮ᄝ၂۱ཌྷؓ؋֥ൈ௹ଽᇶྟሧ֥ဆ߄ؿᅚ౦ঃ.ࡌקࣇթਆᇕো֥ᇶྟሧॖ܂࿊ᄴ:၂۱൞ކሧ,ႨR(t)іൕ,ᆷູົӻჰႵӁ֥ളӁ෮сྶࣉྛ֥ሧ,ೂഡС֥ົྩaჰҋਘ֥ܓઙaളӁᆀ֥۽ሧᄹࡆ;֩ਸ਼၂۱൞ؿᅚሧ,ႨE(t)іൕ,ᆷູঔնᄜളӁ෮ླေࣉྛ֥ሧ,ೂڿᄯഡСaྍࡹӌٜaࡹ৫ളӁཌ.֩၂Ϯ౦ঃ༯ਆᆀႵ၂ᆞӈᆴ,ٳљ࠺ູR0ބE0,҂ൈख़ଖ၂োሧᆀ֥ሧඔଢनᄝః۲ሱ֥नᆴڸ࣍ѯ,ࠧሧᆀ۴ऌࣜ࠶ؿᅚ҂ൈ௹֥҂౦ঃ,෮ࣉྛ֥ሧR(t)ބE(t)ຶಡሢनᆴR0ބE0ᄝ҂؎ֹэ߄.ૌࣇܱྏ൬۠ರ௹:2007-05-31ቔᆀࡥࢺ:ᅦࢭ(1975-),ଳ,ڬ࢝൱,Ѱൖ,ᇶေՖ൙༢я്აࡹଆa༢Ⴊ߄ა॥ᇅ࣮֩,E-mail:zhangjie0371@.
66郑州大学学报(理学版)ֻ40जሧб২֥э߄౦ঃ,ᄜࡌקሧሹਈI൞۱ӈਈ,ႵI=R(t)+E(t),R(t)=R0-B(t),E(t)=E0+B(t).ఃᇏ,B(t)൞ຶಡनᆴ֥ᅨઋ,ఃᆴॖᆞॖڵ,B(t)>0іൕؿᅚሧб২бनᆴႵ෮ᄹࡆ,B(t)<0іൕؿᅚሧб২бनᆴႵ෮ࡨഒ,-E0<B(t)<R0.קၬሧб২ࢲܒҕඔZE0-R0(t)=E(t)-R(t)=E(t)-R(t)=+2B(t)E0-R0=+z(t)(1)E(t)+R(t)IIIIఃᇏ,z(t)=2B(t)/I൞ૌษં֥ࠎЧэਈ. ࣜ࠶ሧ༢֥৯࿐ٚӱູษંz(t)֥э߄,ࡌקሧᆀඔଢܥק(ሧᆀॖၛ൞۱ದaఒြaࠢ֩۲ᇕمದ)ູ2N,ѩࡌק2N۱ሧᆀૄ۱ದᆺିႵ၂۱ሧٚσ,ࠇᆀ൞ؿᅚሧ,ࠇᆀ൞ކሧ,܋Ⴕ2N۱ٚσ.၂۱ሧٚσ֥नሧਈູi=I/(2N)=e0+r0,r0ބe0ٳљіൕ၂۱ሧٚσᇏRބE֥नሧਈ.ႮႿሧᆀ֥ொݺ,RބEਆোሧٚσ֥۱ದሧਈI္ॖٳӮਆোሧ֥ඔਈ,ٳљູEሧᆀ:i=eE+rE,eE=e0+b,rE=r0-b(2)Rሧᆀ:i=eR+rR,eR=e0-b,rR=r0+b(3)ఃᇏ,b>0.ࡌקEሧᆀದඔູnE(t),RሧᆀದඔູnR(t),ᄵnR(t)+nE(t)=2N.ᄝൈख़t,ඔቆ{E(t),R(t)}іൕሧࢲܒ,Z(t)іൕሧࢲܒб২ҕඔ;طඔቆ{nE(t),nR(t)}іൕ҂োሧᆀ֥ٳ,҃ࠧሧᆀܒ.ྙקၬnE(t)-nR(t)n(t)=(4)2n(t)֥ᄹࡆࠇࡨഒّ႘ሧܒྙ֥э߄.ູਔ࠹ෘٚь,࿊Ⴈ݂၂߄эਈሧᆀܒྙᆷඔx(t)=n(t),-1[x(t)[1(5)N࿙ᅳሧࢲܒz(x)აሧᆀܒྙᆷඔᆭࡗ֥ܱ༢,Ⴈൔ(1)~(5)ॖၛ֤z(t)=4Nbx(t).INሧᆀܒྙۀੱٳ҃ॖཿູP(nE,nR,t)SP(n,t),ཁಖડቀۀੱٳ֥݂҃၂߄่ࡱEP(n,t)==-Nሧᆀܒྙ֥ڿэ൞ሧཟڿэႄఏ,֥ॖၛϜ၂۱ሧᆀሧཟ֥ڿэ࠺ູPRyE[nE,nR]SP{(n)(6-a)PEyR[nE,nR]SP|(n)(6-b)ൔ(6-a)іൕ၂۱RሧᆀሇэູEሧᆀ֥ॖି,ྟൔ(6-b)іൕ၂۱EሧᆀሇэູRሧᆀ֥ॖି.ྟܒྙۀੱٳ҃P(n,t)֥ሇ၍ۀੱႮ၂۱ሧᆀሇэ֥ॖିྟაॖၛሇэ؇֥ሧᆀඔଢᆭࠒіൕ:W{(n)=nRP{(n)=(N-n)P{(n),W|(n)=nEP|(n)=(N+n)P|(n). ᄝࡌקૄ၂ൈख़ࣇႵ၂໊ሧᆀڿэ؇่֥ࡱ༯,ॖ֤֞P(n,t)э߄֥ᇶٚӱູdP(n,t) =[W{(n-1)P(n-1,t)+W|(n+1)P(n+1,t)]-[W{(n)P(n,t)+W|(n)P(n,t)](7)dtൔ(7)ູࠧࣜ࠶ሧ༢ဆ߄֥৯ٚӱ,Ⴗ؊ֻ၂ཛіൕֆ໊ൈࡗੀཟP(n,t)֥ۀ,ੱֻؽཛіൕषP(n,t)֥ۀ.ੱ2 ࣜ࠶ሧ༢֥৯࿐ଆࣜ࠶ሧ༢֥৯ٚӱູ৵࿃ਆোэਈ֥ັٳٚӱ,҂ݺࢳ,ؓՎቋࡥֆ֥Ϸم൞࠹ෘఃन
ֻ1௹张 杰等:基于协同学的经济投资系统演化机理67ᆴ෮ડቀ֥ٚӱ.ൔ(7)ਆ؊Ӱഈnѩؓn౼ބ,ᄝ౼࣍ර่ࡱ3P{(n)4UP{(3n4),3P|(n)4UP|(3n4),3nP{(n)4U3n4P|(3n4),ުѩҐ౼ࡥֆ࠺ݼ,Ⴈnսู3n4,xսู3x4֤֞dx(t)=K(x(t)),ఃᇏ,౺৯dtK(x(t))֥ऎุྙൔູK(x(t))=(1-x)P{(Nx)-(1+x)P|(Nx)(8)ط၂۱ሧᆀ֥ሇ၍ॖିྟP{(n)aP|(n)ԢაnႵܱຓ,ߎႮэၹሰDބླྀטၹሰJथק.ҕਈDіൕሧሇཟ,D>0ሇཟEሧᆀ,D<0ሇཟRሧᆀ.ҕਈJّ႘၂۱ሧᆀ჻ၩሔෛఃሧᆀڿэሱ࠭ሧٚཟ֥ၩ჻ބ఼,۳ԛሧᆀҐ౼၂ཟ֥ਈᆴ.۴ऌൌ࠽ҕਈྟᇉ֥ٳ༅,ॖၛҐႨP{(x,D,J)=vexp(D+Jx)P|(x,D,J)=vexp[-(D+Jx)].Ⴟ൞౺৯Kॖקၬູ K(x,D,J)=(1-x)vexp(D+Jx)-(1+x)vexp[-(D+Jx)]=2v[sh(D+Jx)-xch(D+Jx)](9)v൞ѓ؇ၹሰ,ၹֆ໊࿊౼҂ط౼҂֥ᆴ.ࣜ࠶ሧᆀ֥эၹሰ္ေэ߄,थקႿሧᆀሑঃაྙ൝,ਸ਼ຓ,ߎсྶ۳ԛሧэၹሰD(t)֥ဆ߄ܿੰ.ູ༢ဆ߄֥ٚӱྙൔࡥֆ,ॖҐႨ༯ൔট૭ཿD(t)ෛൈࡗ֥э߄,d D(t)=L[D0-D(t)]exp[-Bx(t)]-L[D0+D(t)]exp[Bx(t)]=-2L[D0sh(Bx)-D(t)ch(Bx)](10)d(t)ఃᇏ,L>0,B>0,D0>ӫູᅞथҦږ؇,ॖၛФुቔ൞эၹሰ,Dэ߄ٓຶ֥ಸྸᆴ,Bӫູ൝ّሇ؇ҕਈ,ّ႘Dෛxэ߄֥ॹત;Lӫູᅞਲࠃྟҕਈ,૭ཿሧᆀሇэሧো֥ਲࠃӱ؇,ᆃဢቓ,ॖၛ֤֞၂۱აxྙൔোර֥ٚӱ.ሸഈ෮,֤ࣜ࠶ሧ༢ဆ߄ؿᅚ֥৯࿐ଆॖၛႨൔ(8)~(10)ࠫ۱ٚӱটіൕ,ૌ܋ࢣൕਔࣜ࠶ሧ༢ဆ߄֥ࠏ[6-7].3 ࣜ࠶ሧ༢ဆ߄ٟᆇٳ༅۴ऌࣜ࠶ሧ༢ླྀဆ߄ଆ,ၛ1982~2006୍ޑࡾസ֥ࣜ࠶ؿᅚູ২,ؓޑࡾസڿ۪ष٢ު24୍ᇏࣜ࠶࿊ᄴᅞሧ౦ঃࣉྛٟᆇٳ༅,ѩၛՎট࣮ޑࡾസࣜ࠶໙ี.۴ऌ۲ൈ௹֥ࣜ࠶ᆟҦ҂,ᄝ҂ࢨ؍࿊౼҂֥ҕਈᆴࣉྛٟᆇ,ݖӱೂ༯.൮༵,οᅶࣜ࠶ሧ༢ླྀؿᅚ֥ଆ,۴ऌޑࡾസ1982~2006୍ࣜ࠶ؿᅚ֥ൌ࠽౦ঃ,࿊౼ଆᇏ֥Ⴕܱඔऌҕඔ,і1.ಖު,Ֆ1982~2006୍֥5ޑࡾസሧ୍6ࠣ5ޑࡾസ࠹୍6ᇏෆࠢѩࣜݖᆜ,֤֞ކሧR(t)ބؿᅚሧE(t)֥ཌྷܱඔऌ,і2.ቋ,ުᄎႨࣜ࠶ሧླྀဆ߄ଆࠣ༢ଆ֥ҕඔᆴࣉྛٟᆇ,ఃࢲݔೂ1a2.1ཁൕ֥݅ࠖ၂ҕඔቆކD(S)ބx(S)֥ܿଆൈࡗູS=2vt.і1 1982~2006年黑龙江省经济投资模型参数表 TheparameterformofeconomyinvestmentmodelofHeilongjiangProvinceduring1982-2006yearൈ௹+οൌ࠽ဆ߄౦ঃࡼᆜ۱࠹ෘݖӱٳӮ۱ࢨ؍,ؓ෮֤ࢲݔ,οࢨ؍קྟٳ༅ޑࡾസࣜ࠶֥ؿᅚሑঃ.ֻ၂ࢨ؍Ֆ1982୍ष,ޑࡾസࣜ࠶ؿᅚაંഈթᄝ֥ࠞཋߎ൞၂ᇁ.֥၂ࢽᇏಆ߶ၛު,ޑࡾസ۴ऌݓࡅ֥ڿ۪ᆟҦषൌീྍ֥ࣜ࠶ؿᅚٚᆌ,֒ൈࣜ࠶ܿଆޓཬ,ࣜ࠶ൌ৯҂ቀ,ᄝࣜࢠ؋֥षؿሧᆭުьሇೆކሧ,ކሧሐնਔࣜ࠶ൌ৯,ಖުႻߏતሇཟषؿሧູᇶ֥ൈ௹.ֻؽࢨ؍൞1992֞1999,୍ޑࡾസࣜ࠶ԛགྷݖಣགྷའ,ሧԛགྷݖ൝,സᆟکҐ౼ਔ၂ུծീၝᇅݖॹ֥ሧ,ൌགྷਔࣜ࠶֥ೈሢ,ᆃཌྷ֒Ⴟ၂۱ࢠ֥ۚD0ҕਈ.ֻ۱ൈ௹,ࣼ൞1999୍ᇀ2006,୍ᆃൈ
68郑州大学学报(理学版)ֻ40ज҂֤҂ϜD0טᆜູڵᆴ,ၛьϜࣜ࠶טᆜ֞၂۱ࢠູ໗ק֥ᇛ௹ഈ.і2 1982~2006年黑龙江省经济投资数据 EconomyinvestmentdataofHeilongjiangProvinceduring1982-2006year୍ٺކሧؿᅚሧؿᅚሧR(t)/108ჭE(t)/108ჭZ=(E-R)/(E+R)୍ٺކሧR(t)/108ჭE(t)/108ჭZ=(E-R)/(E+R)1 黑龙江省1982~2006年经济投资协同演化轨迹曲线 Economyinvestedandevolvedcurveoforbitincoordinationduring1982-2006yearinHeilongjiangProvince2 结构指数Z(t)与互变因子D(t)随时间发展的径迹与实际投资量(圆圈)的比较 PathoftheshorttermcomponentZ(t)oftheinvestmentstructureindexandthealternatorD(t)forappropriatechoicesoftrendparametersincomparisonwiththeobservedinvestmentstructuredata ࣜ࠶ሧଆ۳ԛਔ၂ᇕࠏᇅ,۳ԛਔ۲۱эਈᆭࡗ֥ܱ༢.ؓႿ۳ԛ֥ࣜ࠶༢ဆ߄ଆ,๙ݖٳ༅
ֻ1௹张 杰等:基于协同学的经济投资系统演化机理69ॖᆩ,࿊౼҂ҕਈᆴࣼսі҂֥ࣜ࠶ؿᅚো,ඪૼਔ҂֥ࣜ࠶ᆟҦӁളਔ҂֥ؿᅚࢲݔ.ࢳ༅ٳ༅ބඔᆴଆॖၛ֤֞ᄝҕਈJބD0ࢠཬൈ,xބD֥ဆ߄ࢲݔनູਬ,ղ֞၂ᇕ໗ק֥नޙٳ҃;ᄝJބD0ࢠնൈ,xބDӯᇛ௹ᆒ,֕JбDթᄝ၂۱ᇌުൈࡗ,ෛJ֥ࡆն,ᆒږ߶ࡆն;֒Jն֞ଖ၂ӱ؇,xaDႻ߶ӯགྷູ໗קٳ҃,ᆺ൞ՎൈxބDन౼٤ਬᆴ,၂ᆞ၂ڵ,ژݼཌྷّ.ᆃུ౦ঃა2֥ٟᆇࢲݔ൞၂ᇁ֥.4 ࢲඏეଆ֥৯࿐ٳ༅ބٟᆇࢲݔіૼ,ھଆିܔ૭ඍࣜ࠶ሧ༢ᄝຓࢸ่ࡱᇅჿ༯֥ဆ߄൝,ّ႘ਔ༢ଽ҆۲ၹཌྷቔႨؓ༢ဆ߄ؿᅚ֥႕ཙ.ෙಖሧ༢ଽ֥۲ၹ֥ᯒކߎбࢠ,ીିܔധख़ֹّ႘ࣜ࠶ሧ༢۲႕ཙၹᆭࡗ֥گᄖ৳༢,ߎႵրႿؓଆቔࣉ၂҄ധ߄ڿࣉ,൞,৯࿐ଆିܔሙಒّ֥ႋࣜ࠶ሧ༢֥ဆ߄ࠏᇅބགྷൌ֥ؿᅚ݅ࠖ,ऎႵޓ఼֥ႋႨྟބॖҠቔ.ྟࢲކଢభݓܢௐ൧ӆۚᅨaࣜ࠶ሧݖಣ֥ሑঃ,ؓଆࣉ၂҄ധ߄࣮,ᅳԛཌྷႋሧ༢֥ܱၹ,Ґ౼ࢳथሧݖಣ֥ཌྷܱծീ,ູݓࡅᇅק۷ݺሧᆟҦބࣜ࠶ؿᅚᆟҦऎႵᇗေ֥ંၩၬބགྷൌၩၬ.ҕॉ໓ང:[1] WolfgangT,-organizedpatternformation[J].NewIdeasinPsychology,2007,25(1):1-15.[2] BobrekM,[J].JournalofMaterialsPro-cessingTechnology,2006,175(1-3):33-39.[3] ݒള,ݢܻᄶ,ᅦୀ,֩.ຓӆླ఼ྀ߄ঔԮᇉݖӱ֥ືའٳ༅[J].ܼ༆ഽٓն࿐࿐Б:ሱಖ॓࿐ϱ,2004,22(4):14-17.[4] ࡻਟ.ކቔა٤ކቔ౦ྙ༯֥R&Dᅞሧ[J].ඹԫഽٓն࿐࿐Б:ሱಖ॓࿐ϱ,2002,23(2):118-122.[5] SeverinVG,[J].FuelCellsBulletin,2007(3):3-4.[6] WeidlishW,[R].Springer,1981(2):63-85.[7] ᇛ০,Ϣනम.࠹ٚمᄝܢ൧ሧڄགٳ༅ᇏ֥ႋႨ[J].ފଲն࿐࿐Б:ሱಖ॓࿐ϱ,2000,30(2):,ZHAOFeng(SchoolofEconomicandManagement,ShandongUniversityofScienceandTechnology,Qingdao266510,China)Abstract:,thedynamicmodelofeconomyinvestmentsystemevolutionisgiven,simplifyingthemodelbydynamicsanalysisandcarryingoncomputeremulationtotheeconomyinvestmentsystemofHeilongjiangProvincewhichisafterthereformandopening-upinourcountry,thedevelopingmechanismsandrunningorbitsoftheeconomyin-vestmentsystemofHeilongjiangProvincehavebeenobtainedsince1983,:self-organization;economyinvestmentsystem;alternatorfactor;coordinatorfactor
