| Strange Attractor of KdV-Burgers Equation |
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| 引用本文： | 盛平兴. Strange Attractor of KdV-Burgers Equation[J]. 上海大学学报(英文版), 1997, 1(2): 91-94. DOI: 10.1007/s11741-997-0002-8 |
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| 作者姓名： | 盛平兴 |
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| 作者单位： | Sheng Pingxing(Asso.Professor，College of Sciences，ShanghaiUniversity，20 Chengzhong Road. Shanghai 201800)(College of Sciences) |
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| 摘 要： | Inthispaper,thefollowingKdV-Burgersequationinonedimensionisconcerned:wherev>0andadoarephysicalparametersandII(l.x)isdetlnedonClearlyonemayfirstprovidesomeinitialconditionsu(0,x)=u,(x)EC(R).Sinceweareinterestedinqualitativeanalysisofinfinite-dimensionaldyn…
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| 收稿时间： | 1997-02-16 |
Strange attractor of KdV-Burgers equation |
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| Sheng Pingxing. Strange attractor of KdV-Burgers equation[J]. Journal of Shanghai University(English Edition), 1997, 1(2): 91-94. DOI: 10.1007/s11741-997-0002-8 |
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| Authors: | Sheng Pingxing |
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| Affiliation: | (1) College of Sciences, Shanghai University, 20 Chengzhong Road, 201800 Shanghai |
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| Abstract: | The existence of isolated travelling wave solution for the KdV-Burgers equation is proved. It isshown that the strange attractor of the KdV-Burgers equation to isolated travelling wave is prevailing. Thechaotic phenomena in numerical computation might provide a reasonable interpretation of turbulence. |
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| Keywords: | homoclinic orbit isolated travelling wave turbulence strange atltractor vector fieldhomeomorphism chaotic phenomena. |
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