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INERTIAL FRACTAL SET AND FRACTAL STRUCTURE OF ATTRACTORS FOR THE GINZBURG-LANDAN EQUATION
作者姓名:戴正德  杨汉春
作者单位:Department of Mathematics,Yyunnan University,Kunming 650091,China
摘    要:1.IntroductionTheGinzburg-Landanequationsgovernthefiniteamplitudeevolutionofinstabilitywavesinalargevarietyofdissipativesystemswhichareclosetocriticallty.VariousformsoftheGinzburg-Landanequationariseinhydrodynamicinstabilitytheory:thedevelopmentofTolllnieu-SchlichtingwavesinplanePoiseuilleflows,thenonlineargrowthofconvectionrollsintheRayleigh-Benardproblem,andtheappearanceofTaylorvorticesintheflowbetweencounterrotatingcircularcylinders(see7--9]).Theekistenceofattractorsandaninertialmanifo…

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