简介：Ananalyticalstudyofthetwodegreesoffreedomnonlineardynamicalsystemispresented.Theinternalmotionofthesystemisseparatedanddescribedbyonefourthorderdifferentialequation.AnapproximateapproachallowsreducingtheproblemtotheDuffingequationwithadequateinitialconditions.Anovelideaforaneffectivestudyofnonlineardynamicalsystemsconsistinginaconceptofthesocalledlimitingphasetrajectoriesisapplied.Bothqualitativeandquantitativecomplexanalyseshavebeenperformed.Importantnonlineardynamicaltransitiontypephenomenaaredetectedanddiscussed.Inparticular,nonsteadyforcedsystemvibrationsareinvestigatedanalytically.

简介：这份报纸为一组僵硬身体学习协调运动产生的问题。协调运动原语，相对equilibria和演习的二个班，当为产生的积木协调了运动，被给。在运动原语计划框架基于，一个控制方法面对不安为一个协调运动计划的柔韧的执行被建议。控制方法把相对equilibria稳定与演习设计相结合，并且导致计划框架的一个靠近环的运动。控制方法的表演通过数字模拟被说明了。

简介：ThispaperpresentsacanonicalHamiltonianmodelofliquidsloshingforthecontainercoupledwithspacecraft.Ellipticalshapeofrigidbodyisconsideredasspacecraftstructure.Hamiltoniansystemisanimportantformofmechanicalsystem.Itmostlyusedtostabilizethepotentialshapingofdynamicalsystem.Freesurfacemovementofliquidinsidethecontaineriscalledsloshing.Ifthereisuncontrolledresonancebetweenthemotionoftankandliquid-frequencyinsidethetankthensuchsloshingcanbeareasonofattitudedisturbanceorstructuraldamageofspacecraft.Equivalentmechanicalmodelofsimplependulumormassattachedwithspringforsloshingisusedbymanyresearchers.MassattachedwithspringisusedasanequivalentmodelofsloshingtoderivethemathematicalequationsintermsofHamiltonianmodel.AnalyticalmethodofLyapunovfunctionwithCasimirenergyfunctionisusedtofindthestabilityforspacecraftdynamics.Verticalaxialrotationistakenasthemajoraxialsteadyrotationforthemovingrigidbody.

简介：由一个线性插值近似方法，我们获得答案的支持的描述因为G-Brownian驾驶的随机的微分方程打手势。

简介：在这份报纸，我们首先学习部分Brownian运动与non-Lipschitz系数驾驶的随机的微分方程的答案的存在和唯一。然后，我们在部分Browmian运动与小散开多于一半关于林中小丘参数驾驶的随机的微分方程调查爆炸时间。