查询词典 differentiable manifold of class c

Recently. by complexification of the space and time variable, also using the Picard-Lefschetz theory, argument principle, Riemann manifold and homology theory, Gavrilov [25] proved the same result under the condition X〓 has one center and one saddle or two centers and two saddles.

最近Gavrilov[25]将方程复化后利用Picard-Lefschetz理论，幅角原理及同调论等工具得到X〓有一个中心、一个鞍点和两个中心、两个鞍点的情形下I零点个数的上确界。

In this thesis, we take the delay r as a bifurcation parameter to investigate the Hopf bifurcation phenomenon in system (1). By analyzing the associated characteristic transcendental equation of system (2), and using the Hopf bifurcation theorem, we obtain one condition for the existence of Hopf bifurcation in system (1). Furthermore, based on the center manifold theorem and the method of normal form, some interesting results about the properties of Hopf bifurcation are obtained, including the direction of Hopf bifurcation and stability of Hopf bifurcating periodic solutions.

我们以时滞T作为分支参数，研究了系统(1)的Hopf分支现象：通过分析系统(2)的特征超越方程，结合利用Hopf分支定理获得了系统(1)的Hopf分支存在的一个条件；利用中心流形定理和正规形方法分析了系统(1)的Hopf分支的性质，包括分支的方向和分支周期解的稳定性。

In this paper , for a co-dimension two-bifurcation system that is on a three-dimensional central manifold and subjected to a parametric excitation by a white noise , the asymptotic expansion of the maximal Lyapunov exponent is evaluated.

为了分析白噪声参数激励对三维中心流形上一类余维2分岔系统的影响，本文基于一维扩散过程的奇异点理论，通过使用 L。

Along with the spread of city and the manifold of vehicle, vehicles attemper and management has become an important question of society.

随着城市规模的不断扩大，城市车辆的日益增多，交通运输的合理调度和管制日益成为社会的一个重要问题，也成了促进社会生产和人类生活的关键环节。

With the new concept,the problem of variable structure control of 2D discrete system is transferred to the problem of seeking a sliding model with good sporting character and attractability. The concrete design schemes of the imitative sliding model and variable structure controller are also put forward. And the concrete expression of the time T in ε-neighborhood of reaching switch manifold is obtained. The difficulty of applying the existing methods to MIMO systems is overcome.

在新概念之下，将2D离散系统的变结构控制问题转化为寻找一个既具有良好的运动品质又具有吸引性的滑动模问题，给出了滑动模及变结构控制器的设计方案，并且获得了达到切换流形的ε领域的时间T的具体表达式，克服了已有方法难以应用到多输入—多输出系统上的困难。

We therefore regard it as suitable and salutary that, in the election of the said pontiff, in order that the faithful may look upon him as a mirror of purity and honesty, all stain and every trace of simony shall be absent, that men shall be raised up for this burdensome office who, having embarked in the appropriate manner and order in a due, right and canonical way, may undertake the steering of the barque of Peter and may be, once established in so lofty a dignity, a support for right and good people and a terror for evil people; that by their example, the rest of the faithful may receive instruction on good behaviour and be directed in the way of salvation, that the things which have been determined and established by us for this, in accordance with the magnitude and seriousness of the case, may be approved and renewed by the sacred general council; and that the things so approved and renewed may be communicated, so that the more frequently they are upheld by the said authority, the more strongly they shall endure and the more resolutely they shall be observed and defended against the manifold attacks of the devil.

因此，我们认为这是适当和有益的，在选举教皇说，为了使教友们看他是一面镜子，纯洁和诚实，所有污渍和每一个痕迹西摩尼应缺席，男子应提出了这个沉重的负担办公室谁后，开始以适当的方式和秩序应有的，正确和规范的方式，可以进行指导的三桅帆船的彼得和可一旦成立，在如此崇高的尊严，一个支持权和良好的人，一个恐怖的邪恶的人，这是他们的榜样，其余的信徒可能会收到良好的教学行为和直接的方式救赎，这事已经确定，并设立由我们这一点，在根据规模和严重性的情况下，可核准和延长神圣总理事会；和批准的东西和新的可能是传达，使他们更经常地坚持上述权力，他们更强烈应忍受和更坚决，他们应遵守和捍卫的多方面攻击的魔鬼。

Medical dissensions caused by adverse drug reaction increasingly manifold, but there are not corresponding laws, and regulations that can intercede the medical dissensions, and lead the patient, hospital and drug producer to bemuse and have no alternative.

由药物不良反应引起的医疗纠纷日益增多，由于目前没有相应的法律法规来解决此类纠纷，使患者、医院和生产厂家都感到十分困惑和无奈。

In chapter 2 we use harmonic 1-forms and discuss the relationship between an almost nonnegatively Ricci curved n-manifold with the first Betti number equal to n and a flat n-torus.

在第二章中我们利用调和1-形式研究了第一贝蒂数等于n且Ricci曲率几乎非负的n维黎曼流形和n维平坦环面之间的关系。

In view of this algorithm, the sufficient conditions ensuring that the bifurcated periodic solutions are orbitally asymptotically stable and unstable on the center manifold are obtained.

通过这一显式算法，给出了分支周期解在中心流形上轨道渐近稳定和不稳定的充分条件。

The first step in manufacturing the pump manifold assembly was to arrange and mount the bilge pump strainers.

第一步，在制造业泵多方面的大会，安排和装载舱底泵

Alternatively, the con- trollers can use the synchronous rectifier itself or loss- less inductor current-sensing methods to provide overload protection with lower power dissipation.

另外，康威特罗勒斯可以使用同步整流器本身或亏损减少电感电流检测方法，以提供低功耗过载保护。

Mr. Dauber's other Schatz hangs in his home movie studio.

多伯把沙兹的另一件作品挂在家里的电影室。