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Numerical simulation results showed that the unstable periodic orbits of the system could be ballasted,the chaos could be eliminated via choosing proper delayed time and gain coefficient,and the system could be changed from unstable to s.

数值仿真结果表明，选择适当的延迟时间和反馈系数能够控制系统的不稳定周期轨道、消除混沌，并能使系统从失稳状态进入稳定状态。

Simulation result shows that choosing proper delayed time and gain coefficient the unstable periodic orbits of the system can be ballasted and the chaos can be eliminated, and the system can be changed from unstable to stable.

数字仿真效果评释，选择适当的延伸时间和反馈系数能够冷静体系的不稳固周期轨道、消除混沌，并能使体系从失稳状态进入稳固状态。

Theoretical analysis and numerical results show that a steady positive period-1 solution bifurcates from the semi-trivial periodic solution through a transcritical bifurcation.

数值模拟显示，随着控制参数的变化，正周期-1解通过倍周期分岔出正周期-2解，再通过一系列倍周期分岔通向混沌。

The qualitative analysis and numerical results show that a positive period-1 solution bifurcates from the semi-trivial periodic solution through a fold bifurcation, a positive period-2 so...

定性分析和数学模拟表明，半平凡周期解通过fold分岔分岔出正周期1解，正周期1解通过flip分岔分岔出正周期2解，再通过一系列flip分岔通向混沌。

The study of Hopf bifurcation includes determining the bifurcation value, the direction of bifurcation and the stability of bifurcating periodic solution.

对系统Hopf分支的研究包括分支参数值、分支方向、分支周期解的稳定性的确定等内容。

In Chapter three, the direction and stability of the bifurcating periodic solutions are determined by the Nyquist criterion and the graphical Hopf bifurcation theorem.

在第三章，利用奈奎斯特准则和Hopf分岔图示定理分析上述两个模型的Hopf分岔方向与分岔周期解的稳定性。

Formulas to determine the stability of bifurcating periodic solutions are obtained by applying the center manifold theorem and the normal form theory.

三、分析了单源节点单连接节点的Kelly主算法，当稳定性条件被破坏后，系统表现出的动力学特性。

Formulas for determining the direction of the Hopf bifurcation and the stability of bifurcating periodic solutions are presented by applying the center manifold theorem and the normal form theory.

应用中心流形定理和规范形理论，得到了判定时延REM算法的Hopf分叉方向以及周期解的稳定性的计算公式。

The characteristics of Hopf bifurcation from the origin, including the existence condition, the direction as well as the stability of bifurcating periodic solutions are discussed in detail, which can be demonstrated by the numerical simulations.

讨论了快慢两时间尺度下超混沌Lorenz系统原点的稳定性问题，分析了原点的Hopf分岔，包括Hopf分岔的存在性，分岔方向以及分岔周期解的稳定性等问题，并用数值例子对所得到的结果加以验证。

Then we are very interested in developing the coherent radiation sources based on the periodic bunches.

因此我们对于发展基于周期束团的相干SP辐射源很感兴趣。3。

The report is to be published next Thursday, and I do not want to jump the gun by telling you any of its contents now.

报告下星期四将公布，现在我不想抢先告诉你们报告的任何内容。

This can lead to brain damage or even death, so it is important that high levels of bilirubin are treated immediately.

这可导致脑损伤，甚至死亡，所以这是非常重要的高水平的胆红素是立即处理。