简介：花托分叉是一双建筑群引起的相对复杂的分叉多结合Floquet钳子从在Poincare节上统一圆出来。Athree公共汽车系统被采用揭示在花托分叉和一些复杂动力学之间的关系。基于理论分析和模拟研究，花托分叉是到在力量的混乱的一条典型线路，这被发现系统。一些复杂动力学通常发生在花托分叉以后例如组织工会，深分叉，优美结构，混乱和分叉的共存。混乱与力量系统的各种各样的不稳定性情形有靠近的关系，这也被发现。这篇论文的研究是有用的在力量系统和混乱和力量系统不稳定性的关系理解花托分叉的机制。

简介：Tostudythemechanicalpropertiesofthefilm/substratestructure,thefiniteelementcodeABAQUSv6.9-1isadoptedtosimulatethetensilemechanicalbehaviorofthenanoscalethinfilmbondedtoasubstrate.Thebifurcationphenomenonofthestructureunderuniaxialtensionisfound:thesingle-neckdeformation,themultiple-neckdeformationandtheuniformdeformation.Thesubstrateandthefilmareregardedaspower-hardeningmaterialsobeyingtheJ2deformationtheory.Firstly,theinfluenceofmaterialhardeningmatchontensilebifurcationmodeisanalyzedunderperfectlywell-bondedinterfacecondition.Then,theeffectsofinterfacialstiffnessandothersuperficialdefectssurroundingtheimperfectiononbifurcationmodeareinvestigated.Itisconcludedthatunderthewell-bondedinterfacecondition,ifthestressofthesubstrateislargerthanthefilm,thefilmwilluniformlydeformwiththesubstrate;ifthestressofthesubstrateissmallerthanthefilm,thefilmwillformasingleneck,exceptthecasethataweakly-hardeningfilmisbondedtoasteeply-hardeningsubstratewhenmultipleneckscanbeformed.Withthedecreaseofinterfacialstiffness,theuniformdeformationmodecantransformintothemultiple-neckdeformationmode,andfurthertransformintothesingle-neckdeformationmode.Andotherdefectssurroundingtheimperfectioncaninfluencethewavelengthofdeformationandnecknumber.