| DYNAMICS IN COUPLED SYSTEMS OF JOSEPHSON JUNCTIONS WITHOUT CAPACITY EFFECT |
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| 作者姓名： | 周盛凡 朱澍 |
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| 作者单位： | ZHOU SHENGFAN(Department of Mathematics，Sichuan University，Chengdu 610064，China) ZHU SHU (School of Mathematical Sciences，Peking Universitg，Beijing 100871，China) |
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| 摘 要： | O.IntroductionDynamicalbehavioroftheJosephsonjunctionhaslongbeenofinterestbecauseitreflectsarichvarietyofillterestingphenomena.Muchprogressonthedynamicsofasingle--pointjunctionandasystemofN-pointcoupledjunctions,whichcanberegardedasdiscretizedversionsofacontinuousJosephsonjunction,hasbeenmadebyexperiments,numericalcalculationsandtheoreticalanalysis"'15].ItiswellknownthattheequationofonecontinuousJosephsonjunctionisthedampedanddrivensine-Gordonequation,ofwhichtheexistenceanddimensionoftheglo…
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| 收稿时间： | 3 January 1996 |
Dynamics in coupled systems of Josephson junctions without capacity effect |
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| Zhou Shengfan,Zhu Shu.DYNAMICS IN COUPLED SYSTEMS OF JOSEPHSON JUNCTIONS WITHOUT CAPACITY EFFECT[J].Acta Mathematicae Applicatae Sinica,1998,14(1):1-10. |
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| Authors: | Zhou Shengfan Zhu Shu |
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| Institution: | (1) Department of Mathematics, Sichuan University, 610064 Chengdu, China;(2) School of Mathematical Sciences, Peking University, 100871 Beijing, China |
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| Abstract: | In this paper, we analyze the structures of the global attractors of the coupled systems of continuous Josephson junctions and the two-point Josephson junction without capacity effect.We prove that each system has a unique one-dimensional invariant continuous curve which is globally attracting. Therefore, the systems behave exactly as a one-dimensional system. |
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| Keywords: | Global attractor horizontal curve running periodic solution |
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