桥柿柿汤鞘峦牧

《桥柿柿汤鞘峦牧》由会员上传分享，免费在线阅读，更多相关内容在工程资料-天天文库。

1、CAR
GREDER
GETHDSFRU
ASETSV.DrakopoulosDepartmentof
nformaticsandTelecommunications,Theoretical
nformaticsUniversityofAthens,anepistimioupolis15784,AthensGreecevasilios@di.uoa.grhttp://cgi.di.uoa.gr/~vasiliosABSTRACTSequentialrenderingmethodsforthegraphicalrepresentati

2、onofuliasetsarecompared.Twogroupsofmethodsarepresented.
ntherst,theattractoroftheuliasetisrenderedand,inthesecond,thecomplementoftheattractorisrendered.Examplesofimagesobtainedusingthesemethodsarealsogiven.eywords:Attractor,uliaset,renderingmethods1
TRDUCT
k=1,ziscalleda

3、xedpointofp.aturally,at-ctractingmeansthatpointsznearawillgenerate0orbitsnefascinatingaspectoffractalsisthebeautyz7!z7!z7!z:::oftheirgraphicalrepresentation.Thispaperis0123devotedtoadiscussionofvariousfractalaspectsz=p(z),k=0;1;:::,whichapproacha.Byk+1ckinvolvedinthepolynomialp:

4、C!Cwithccollectingallsuchpointsoneobtainsthebasinofattractionofanattractingxedpointa2p(z)=z+c;c2C:(1)ckA(a)=fz2C:limp(z)=ag:(2)cck!1Thedynamicsofpisanenormouslyrichfoun-ctainoffractalstructures.Althoughthefractal
tisobviousthat1isanattractingxedpointsetsgeneratedfromtheabove-men

5、tionedtrans-ofp.TheboundaryofA(1)isdenotedbyccformationhavebeendiscussedextensivelyinthe@A(1)andiscalledtheuliasetofp.Wealsoccliterature,asfarasweknow,nopreviouslypub-usethesymbol=@A(1).therthanA(1)ccclishedworkexiststhatcomprisesthebestknownand,alsotobeconsideredisathirdobjec

6、tcsequentialvisualisationmethodsandwhosescopeisthecomparisonoftheirperformances.
norder=CnA(1)cctopresentthesemethods,wemustrstintroducek=fz2C:p(z)staysboundedforallkgcsomeusefulterminology.sometimescalledthelled-inuliaset.bvi-Aperiodicorbitorcycleisasetofk2distinctously,weh

7、avethatpointsfa;:::;agsuchthat1k@==@A(1);cccp(a)=a;:::;p(a)=a;p(a)=a;c12ck1kck1i.e.,separatescompetitionbetweenorbitsbe-cso,infact,foreachj=1;2;:::;k,z=aisaingattractedto1andorbitsremainingboundedjkkk1solutionofp(z)=z,wherep(z)=p(p(z)).ask!1.cccckHence,apointaisperiodic,ifp(a

8、)=aforcsomek>0;itisrepelling,indi