連續(xù)化車輛跟進(jìn)模型下的孤立子密度波.pdf

1、華中科技大學(xué)碩士學(xué)位論文連續(xù)化車輛跟進(jìn)模型下的孤立子密度波姓名：周先軍申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：理論物理指導(dǎo)教師：劉中柱2002.6.26華中科技大學(xué)碩士學(xué)位論文AbstractAsakindofcomplicatedsystemproblem，trafficproblemhasbeenpaidmuchattentionbyphysicalresearchersformanyyearsOntheonehand，thetrafficflow

2、lawisstudiedinordertooptimizetrafficmanagementinthefactuallifeOntheotherhandthecomplicatedsystempropertywillbefurtherunderstoodthrob曲studyingthenonlinearwavesandnonequilibriumphasetransitionOnthebaseofthecarfollowingmode

3、l，singleandtwospeciesvehiclesonthesinglelaneareinvestigatedbyintroducinganaccurateexpressionthroughlinearandnonlinearanalysisThus，thesolitonwaveformedanditseffectarediscussedfromaboveInthesituationofsinglespecies，accordi

4、ngtotheoptimal—velocitymodel，theconditionforstabletra伍cflowisdeducedThenonlinearanalysisshowsthatthedensityfluctuationintrafficflowitselfinducestwotypesoflocaldensitywavesAweakfluctuationoccurringnearthestabifitystatefor

5、msasofitondeterminedbytheKortewegdeVties(KdV)equationinawiderangeofheadwayAppearanceofsuchasolitonshowsthatdriverstendteachthesafetydistancewhentheya∞awayfromitThjsdensitywavedegeneratestotravelingwaveatthecriticalpointA

6、strongfluctuationoccurringaroundthecriticalpointformsakinkorasolitondeterminedbythemodifiedKortewegdeVries(MKdV)equationInthecaseoftwospecies，thetrafficproblemontwospeciesofvehiclesforsinglelineflowcorrespondingthediffer

7、entsensitivityparameters，wasinvestigatedthroughthecarfollowingmodelItisprovedbythenonlinearanalysisthatasolitonwaveappearsinthetrafficflowAttheSalTtetime，thesensitivityparametersonlybringaboutlittleeffectinthehighorderWh

8、atevertheaveragetrafficflowishigherorlowerthanthecriticaldensitylocaldensityalwaystendstothecriticaldensityforthesolitonwave，whichshowsthetrafficflowdoesnotresultconfessedlythecongestionConsideringthelligh—orderterm。Weca