| THE FINITE DIMENSION BEHAVIOR OF THE SCHRDINGER EQUATION WITH NONLOCAL INTEGRAL NONLINEARITY |
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| 引用本文： | 黄海洋.THE FINITE DIMENSION BEHAVIOR OF THE SCHRDINGER EQUATION WITH NONLOCAL INTEGRAL NONLINEARITY[J].应用数学学报(英文版),1999,15(1):34-44. |
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| 作者姓名： | 黄海洋 |
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| 作者单位： | Department of Mathematics，Beijing Normal University，Beijing 100875，China |
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| 基金项目： | This project is supported by the National Natural Sciences Foundation of China!No. 19571010 |
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| 摘 要： | 1.IntroductionInthispaperweconsiderthefollowinginitialproblem,lUt box OIUlpU 7U"III'dX IkU~gi(1.l)j--colul'dx iku~g,(1.l)nit=0~u',(1.2)whereP,7andkarerealnumber,k>0,theexponentpsatisfiesPZ0,ifP50,05P<4,ifP>0.(l.3)ForthenonlinearSchrodingerequation.lat aam P(lul')u ikm=g,(1.4)itslongtimebehaviorhasbeenobservedbynumericalmethodandphysicalargUmefits,(1)chaoticattractorexists;(2)afinitedimensional"space"confinestheattractors(seel,2]),ajndithasalsobeenprovedbymathematicalmethodthatthereex…
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