一类切换电路系统的振荡行为及分岔机理分析的开题报告摘要：切换电路在现代电子领域应用广泛，其振荡行为和分岔机理的研究对于提高电路性能具有重要作用。本文针对一类具有非线性特性的切换电路系统的振荡行为和分岔机理进行分析研究。首先，基于系统的运动方程和非线性特性，建立了系统的数学模型，并进行了动力学分析。通过数值模拟发现该系统存在周期解和混沌解。其次，运用分岔理论，探究了系统在参数变化时产生的分岔现象，得到了系统的分岔图。在分析分岔图的基础上，进一步讨论了系统的双周期吸引子、分形结构等现象。最后，通过比较不同系统参数条件下的振荡行为和分岔现象，对系统的动力学特性进行了综合分析。关键词：切换电路；振荡行为；分岔机理；分岔图；周期吸引子；分形结构Abstract:Switchingcircuitsarewidelyusedinmodernelectronicfields.Thestudyofoscillationbehaviorandbifurcationmechanismoftheswitchingcircuitsystemisimportantforimprovingtheperformanceofthecircuit.Inthispaper,theoscillationbehaviorandbifurcationmechanismofaclassofswitchingcircuitsystemwithnonlinearcharacteristicsareanalyzedandstudied.Firstly,basedonthesystem'smotionequationandnonlinearcharacteristics,themathematicalmodelofthesystemisestablishedanddynamicanalysisiscarriedout.Throughnumericalsimulation,periodicandchaoticsolutionsarefoundtoexistinthesystem.Secondly,usingbifurcationtheory,thebifurcationphenomenonofthesystemunderparameterchangesisexplored,andthebifurcationdiagramofthesystemisobtained.Onthebasisofanalyzingthebifurcationdiagram,thephenomenonofdouble-periodattractorandfractalstructureofthesystemarefurtherdiscussed.Finally,theoscillationbehaviorandbifurcationphenomenonofthesystemunderdifferentparameterconditionsarecompared,andthedynamiccharacteristicsofthesystemarecomprehensivelyanalyzed.Keywords:Switchingcircuit;Oscillationbehavior;Bifurcationmechanism;Bifurcationdiagram;Periodicattractor;Fractalstructure.