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1、AbstractBifurcationandChaosarethemostimportantandbasicfeaturesinnonlinearsystems.Almostallinvolvedthefieldsofnonlinearscience,therearebifurcationphenomenaandchaoticmotions.Basedontheanalysisandsummaryofnonlineardifferentialbifurcationandchaoticdynamicalsystems,fortheelectromagneticfield
2、inthetransversemagneticfieldandmechanicalloadcoupledlargedeflectionundercurrent-carryingnon-linearbehaviorofrectangularplateshasbeenstudied.Themainworkofourresearchissummarizedinthefollowingparts:Firstly,thechaoticmotiondomestic,theforeignresearchsituationandprimarycontentofourresearcha
3、ndexpressionofelectromagneticforceareintroduced,lamellanon-linearequationsofmotionarederivedandthenonlinearmagneticthinflexiblebifurcationrelatedtochaostheoryandresearchmethodsaredescribed.Secondly,basedonmechanicalandmagneticshelltheoryofelasticityinthetransversemagneticfieldandmechani
4、calloadtogetherdownloadsflowrectangularplatesofnon-linearequationsofmotion,oneedgefreeandotherssimplysupportedwastakenascomputationalexample,boardsarediscussedinasingle,dual-modedisplacementmodestateofmotion.Andplateinasingleanddual-modedisplacementmodestateofmotionwasgivenusingtheMatla
5、b.Fromthesimulationresultscanbeobtained,insomeregions,youcanusesingle-modedisplacementofthestructureofnon-linearmovementpatternanalysisandinsomeregionsmustbedual-modedisplacementmodeorhigherorderdisplacementmodelanalysis,otherwisemayleadtowrongconclusions.Finally,thenonlinearequationsof
6、motionofarectangularthincurrentplatesimplysupportedateachedgewasestablishedwhentheplateappliedmechanicalloadinatransversemagneticfield,usingmechanicsofplatesandII万方数据shellsandtheoryofthemagnetic-elasticity,thebifurcationofrectangularplates,chaoticmotionandsingle-,dual-modedisplacementmo
7、decomparisonwasstudied.Innonlinearsystems,singleanddual-modetime-shiftmode,map,Poincaresections,phaselocuswasgivenusingtheMatlab.Furtherfromthetheoryandnumericalsimulation,usingofsingleanddual-modedisplacementmodeltostudythenonlinearbehaviordifferenceswasdiscussed.KeywordsNonli
