螺旋元胞自動(dòng)機(jī)的生長、時(shí)間演化行為及其應(yīng)用.pdf

1、合肥工業(yè)大學(xué)碩士學(xué)位論文螺旋元胞自動(dòng)機(jī)的生長、時(shí)間演化行為及其應(yīng)用姓名：朱輝申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：課程與教學(xué)論指導(dǎo)教師：馬力平20080401GrowthandTimeEvolutionBehaviorofHelicalCellularAutomataandItsApplicationAbstractInpresent，thestudyofnonlinearphenomenaisafocalfield，whichscientistsp

2、aycloseattentionto，andCellularAutomata(CA)isanimportantmeansandtoolofstudingNonlinearityInthisthesis，themainprincipleofCAandtheconstructmothodofseveraltapicalCAhavebeenreviewedThepatternformationinahelicalcellularautomat

3、on(HCA)modelisstudiedbycomputersimulationsItisfoundthattheevolutionsoftheHCAaresensitivenotonlytothecircumferenceofthehelixbutalsototheinitialseedsThelong—termgrowthbehaviorisdeterminedbythecircumulateofhelixwhiletheloca

4、lbehaviorisdeterminedbytheperiodicseedconfigurationwithfixedcircumferenceThemodelgeneratesaseriesofnovelpatterns，includingSierpinskitrianglegasket，compoundpatternsconsistingofregularandrandomstructures，compoundpatternarr

5、aylayerpatterntwo—phase，andSOonWithincreasingheightofthepatterns(increasinggrowthtime)，themodelalsoexhibitsperiodic，abrupt，andgradualgrowthbehaviorsfordifferentseedconfigurations，respectivelyFractaldimensionanalysisisuse

6、dtocharacterizethesedifferentevolutionprocessesquantitativelySubsequentlytheoccupancyvalueoftimeevolutionbehavioriscalculatedandfoundtobeclosetoO334afterabruptoscillationSomeapplicationsofHCAhavebeenstudiedalsointhispape

7、rItisfoundthatthecurveoftimeevolutionwherePisequaltoapositiveintegerpowerof2issimilartoweibulldistributioncurve，whichusedtodescribetherelationshipofenvironmentalpullutionandeconomicgrowthFinallyaccordingtothechnosbehavio