HOMOCLINIC AND HETEROCLINIC ORBITS AND BIFURCATIONS OF A NEW LORENZ-TYPE SYSTEM

HOMOCLINIC AND HETEROCLINIC ORBITS AND BIFURCATIONS OF A NEW LORENZ-TYPE SYSTEM

ID:40385689

大小:1.21 MB

页数:18页

时间:2019-08-01

HOMOCLINIC AND HETEROCLINIC ORBITS AND BIFURCATIONS OF A NEW LORENZ-TYPE SYSTEM_第1页
HOMOCLINIC AND HETEROCLINIC ORBITS AND BIFURCATIONS OF A NEW LORENZ-TYPE SYSTEM_第2页
HOMOCLINIC AND HETEROCLINIC ORBITS AND BIFURCATIONS OF A NEW LORENZ-TYPE SYSTEM_第3页
HOMOCLINIC AND HETEROCLINIC ORBITS AND BIFURCATIONS OF A NEW LORENZ-TYPE SYSTEM_第4页
HOMOCLINIC AND HETEROCLINIC ORBITS AND BIFURCATIONS OF A NEW LORENZ-TYPE SYSTEM_第5页
资源描述:

《HOMOCLINIC AND HETEROCLINIC ORBITS AND BIFURCATIONS OF A NEW LORENZ-TYPE SYSTEM》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库

1、October4,201111:56WSPC/S0218-127403003InternationalJournalofBifurcationandChaos,Vol.21,No.9(2011)2695–2712cWorldScientificPublishingCompanyDOI:10.1142/S0218127411030039HOMOCLINICANDHETEROCLINICORBITSANDBIFURCATIONSOFANEWLORENZ-TYPESYSTEMXIANYILI∗andHAIJUNWANGCollegeofMa

2、thematicsandComputationalScience,ShenzhenUniversity,Shenzhen,Guangdong518060,P.R.China∗xyli@szu.edu.cnReceivedAugust26,2010;RevisedMay27,2011Inthispaper,anewLorenz-typesystemwithchaoticattractorisformulated.Thestructureofthechaoticattractorinthisnewsystemisfoundtobecomp

3、letelydifferentfromthatintheLorenzsystemortheChensystemortheL¨usystem,etc.,whichmotivatesustofurtherstudyindetailitscomplicateddynamicalbehaviors,suchasthenumberofitsequilibrium,thestabil-ityofthehyperbolicandnonhyperbolicequilibrium,thedegeneratepitchforkbifurcation,the

4、Hopfbifurcationandthelocalmanifoldcharacter,etc.,whenitsparametersvaryintheirspace.Theexistenceornonexistenceofhomoclinicandheteroclinicorbitsofthissystemisalsorigor-ouslyproved.Numericalsimulationevidencesarealsopresentedtoexaminethecorrespondingtheoreticalanalyticalre

5、sults.Keywords:Lorenz-typesystem;centermanifoldtheorem;degeneratepitchforkbifurcation;Hopfbifurcation;homoclinicandheteroclinicorbit.1.Introductioncircumstances,thechaosisundesirableandshouldbeweakenedoreliminated,whichisnowalsocalledSincethefirstremarkablechaoticmodel,i

6、.e.thechaoscontrol.Therefore,inordertomakechaosLorenzsystem[Lorenz,1963;Sparow,1982],wasbyCITYUNIVERSITYOFHONGKONGon03/11/14.Forpersonaluseonly.moreuseful,peopleneedtothoroughlyunderstandpresented,alotofeffortshavebeendevotedtoInt.J.BifurcationChaos2011.21:2695-2712.Down

7、loadedfromwww.worldscientific.comseekingsomenewsystemsthatarerelatedtothephysicalessenceofchaos.Lorenz-typechaoticsystemsandinvestigatingtheirDuringrecentyears,thereportsontheinves-complicateddynamicalbehaviors[Chen&Ueta,tigationsintochaoshaveconcentratedonnotonly1999;L

8、¨u&Chen,2002;Celikovsk´ˇy&Chen,2002a;proposingnewandinterestingchaoticsystems(theYangetal.,2006;Yang&Chen,2008

当前文档最多预览五页,下载文档查看全文

此文档下载收益归作者所有

当前文档最多预览五页,下载文档查看全文
温馨提示:
1. 部分包含数学公式或PPT动画的文件,查看预览时可能会显示错乱或异常,文件下载后无此问题,请放心下载。
2. 本文档由用户上传,版权归属用户,天天文库负责整理代发布。如果您对本文档版权有争议请及时联系客服。
3. 下载前请仔细阅读文档内容,确认文档内容符合您的需求后进行下载,若出现内容与标题不符可向本站投诉处理。
4. 下载文档时可能由于网络波动等原因无法下载或下载错误,付费完成后未能成功下载的用户请联系客服处理。