同宿

The question on bifurcation of limit cycles in quadratic conservative perturbations of a quadratic integrable system is discussed.

研究了一个具有同宿轨的二次可积系统在二次保守扰动下的分支现象。

It includes the undertermined fundamental frequency approaching zero and the collision of the periodic orbit with the saddle point.

然后分别依据系统的待定固有频率趋于零和周期轨道趋近于鞍点两条途径获得了强非线性振动条件下系统同宿分岔的解析判据。

By using Galerkin's method the partial differential equation is reduced ordinary differential equation with quadratic nonlinearity. The results of qualitative analysis indicate that the system has homoclinic orbit.

定性分析表明，对于前屈曲和后屈曲两种情况，系统的相图具有相同的同宿轨道，只是位置在相平面上沿横轴发生了一个简单的平移。

Chapter 3, studies the persistent homoclinic orbits for the perturbed coupled nonlinear Schr〓dinger system.

第三章研究了扰动非线性Schr〓dinger耦合方程组的同宿轨保持性。

The systems can be translated to the systems developed by Wiggins［1 under some conditions.

研究了一类两个自由度系统，利用多重尺度法证明存在锁频于Ω的周期解，在一定条件下可变换为Wiggins的系统［1］，给出了这类系统的同宿轨道的计算公式。

This conclusion corrects a mistaken resultIn the planar quadratic system there is not cubic algebraical saddle-nodeseparatrix-loop,in which the author asserrts that quadratic system has no the cubicalgebraical saddle-node separatrix cycle .

本文证明了平面二次系统的三次代数同宿轨线上可以存在鞍结点，并且二次系统可以存在含鞍结点的无返回映射三次曲线分界线环。

Based on the method of Filippov, we discuss the existence and geometrical properties of different types of equilibria.

利用Filippov方法，研究了系统中各种平衡点的存在性和几何性质，讨论了系统中多种闭轨的存在性，尤其是滑模闭轨和滑模同宿轨。

Meanwhile, we also study the stability of the nondegeneratedand nontwisted homoclinic loop for the two cases of nonresonant and resonant,and obtain the corresponding criterion.

同时还研究了非退化非扭曲同宿环在非共振和共振两种情况下的稳定性问题，得到了相应的判别准则。

Under appropriate conditions the existence and the continuous dependence of its homoclinic orbits and periodic orbits on the perturbing small function are obtained.

在一定条件下，得到了同宿轨与周期轨的存在性，即这一类系统在这类小参数函数扰动下是结构不变的。

The son of a father to whom history will accord certain attenuating circumstances, but also as worthy of esteem as that father had been of blame; possessing all private virtues and many public virtues; careful of his health, of his fortune, of his person, of his affairs, knowing the value of a minute and not always the value of a year; sober, serene, peaceable, patient; a good man and a good prince; sleeping with his wife, and having in his palace lackeys charged with the duty of showing the conjugal bed to the bourgeois, an ostentation of the regular sleeping-apartment which had become useful after the former illegitimate displays of the elder branch; knowing all the languages of Europe, and, what is more rare, all the languages of all interests, and speaking them; an admirable representative of the "middle class," but outstripping it, and in every way GRE ater than it; possessing excellent sense, while appreciating the blood from which he had sprung, counting most of all on his intrinsic worth, and, on the question of his race, very particular, declaring himself Orleans and not Bourbon; thoroughly the first Prince of the Blood Royal while he was still only a Serene Highness, but a frank bourgeois from the day he became king; diffuse in public, concise in private; reputed, but not proved to be a miser; at bottom, one of those economists who are readily prodigal at their own fancy or duty; lettered, but not very sensitive to letters; a gentleman, but not a chevalier; simple, calm, and strong; adored by his family and his household; a fascinating talker, an undeceived statesman, inwardly cold, dominated by immediate interest, always governing at the shortest range, incapable of rancor and of gratitude, making use without mercy of superiority on mediocrity, clever in getting parliamentary majorities to put in the wrong those mysterious unanimities which mutter dully under thrones; unreserved, sometimes imprudent in his lack of reserve, but with marvellous address in that imprudence; fertile in expedients, in countenances, in masks; making France fear Europe and Europe France!

他的父亲在历史上固然只能得到一个低微的地位，但他本人是值得敬重的，正如他父亲值得受谴责。他有全部私德和好几种公德。他关心自己的健康、自己的前程、自己的安全、自己的事业。他认识一分钟的价值，却不一定认识一年的价值。节俭，宁静，温良，能干，好好先生和好好亲王。和妻子同宿，在他的王宫里有仆从负责引导绅商们去参观他们夫妇的卧榻（在当年嫡系专爱夸耀淫风以后，这种展示严肃家规的作法是有好处的）。他能懂并且能说欧洲的任何种语言，尤其难得的是能懂能说代表各种利益的语言。他是&中等阶级&的可钦佩的代言人，但又超出了它，并且，从所有各方面看，都比它更伟大。他尽管尊重自己的血统，但又聪敏过人，特别重视自身的真实价值，尤其是在宗枝问题上，他宣称自己属于奥尔良系，不属于波旁系；当他还只是个至宁极静亲王殿下的时候，他俨然以直系亲王自居，一旦成了国王陛下，却又是个诚实的平民。在大众面前，不拘形迹，与友朋相处，平易近人；有吝啬的名声，但未经证实；其实，他原不难为自己的豪兴或职责而从事挥霍，但他能勤俭持家。有文学修养，但不大关心文采；为人倜傥而不风流，朴素安详而又坚强。受到家人和族人的爱戴，谈吐娓娓动听，是一个知过能改、内心冷淡、服从目前利益、事必躬亲、不知报怨也不知报德、善于无情地利用庸材来削弱雄才，利用议会中的多数来挫败那些在王权下面隐隐责难的一致意见。爱说真心话，真心话有时说得不谨慎，不谨慎处又有非凡的高明处。善于随机应变，富于面部表情，长于装模作样。

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。