English translation for "period doubling bifurcation"
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- 倍周期分岔
Related Translations:
- Example Sentences:
| 1. | The process from period doubling bifurcation to chaos suggests us to adjust the regulatory parameters in the system actively and scientifically , which will help the development of new system and lead the system ' s movement into the expected direction
由倍周期分岔通向混沌的道路启发人们主动地、科学地调节系统的控制参数，诱发新机制的形成，引导系统的运动朝着人们所期望的方向发展。 | | 2. | The dynamics behaviors of the flexible jeffcott rotor system supported by unsteady short dynamic bearing are investigated . based on nonlinear unsteady - state dynamic n - oil film force model described by three functions the local stability of the periodic solutions with the controlling parameters , rotational speed ratio , imbalance amount , damping ratio and viscidity , are predicted by using the floquet multiplier . it is found that the period doubling bifurcation is caused by a certain imbalance amount and the hopf bifurcation is created by the lost stability of the oil - film
研究了非稳态动载短轴承支撑的jeffcott柔性转子系统的动力特性，基于可用三个函数表示动态油膜的非稳态非线性油膜力模型，将转速比、不平衡量、阻尼比、粘度作为控制参数，利用floquet乘子预测周期解的局部稳定性，发现倍周期分叉是由一定量的不平衡引起的，而hopf分叉是由油膜失稳造成的。 | | 3. | In addition to the familiar period doubling bifurcation scenario leading to chaos , a quasiperiodic route to chaos is also observed which occurs through an initial hopf bifurcation . the current chaos control methods are compared , the stabilization of unstable periodic orbits of this chaotic system is achieved by continuous feedback control method , the specially designed external oscillator which used as target motion orbit in continuous feedback control method is obtained directly from ihb method
对现有的混沌控制方法的优缺点进行了比较，利用混沌控制理论中的连续变量反馈控制方法，实现了系统混沌吸引子内部的不稳定周期轨道的稳定化，对齿轮传动系统进行了有效的混沌控制，并对连续变量反馈方法的结果进行了分析，包括噪声的影响和方法的改进。 | | 4. | The radiation field evolves from a steady saturation state to a limit cycle oscillation state , and eventually to chaotic oscillation state as the current increases , the region in which the field exhibits limit cycle or chaotic oscillation is called the " soft " and " hard " nonlinear regime , respectively : ( 1 ) in the " soft " nonlinear regime , the radiation field is characterized by period doubled bifurcation and the discrete power spectrum
随着电流的增大，辐射场经历由稳定饱和到极限环型的周期振荡，并最终过渡到非周期性混沌振荡的演化过程，按其状态可分为“软”和“硬”两种非线性区域： ( 1 )在“软”非线性区域，场的极限环振荡态和稳定饱和态是交替出现的，其特征是典型的倍周期分岔，输出功率谱是分立的。 | | 5. | We , in chapter 4 , comprehensively discuss the dynamics of discrete chaotic neural networks , including f the existence of fixed points , the stable , unstable dynamics of the fixed point , the saddle - node and period doubling bifurcations in singie neuron model , and chaotic dynamics of the networks . the proofs and de - ductions involve schauder fixed point principle , constructions of lyapunov func - tions , bifurcation theory , contraction map principle , and anti - integrable limit method
在本文的第四章中，我们首先介绍了离散混饨神经元、神经网络模型由来与具体的数学模型，依次给出了该离散神经网络的中不动点存在性与惟一性的分析：稳定性与不稳定性的分析；神经元模型的分枝分析；神经网络中马罗陀意义下混3屯动力学的分析 | | 6. | These research also approve some inherent phenomena in nonlinear systems such as the interleaving of stability region and instability region , the parameter sensibility of the instable modes , divergence after a relatively long time of chaotic swings ( transient chaos ) , a cascade of period double bifurcations to chaos and etc . these phenomena are of great importance to both theoretical research and engineering practice
研究还证实了一些非线性系统所特有的现象，如稳定域和不稳定域的相互交错现象，失稳模式对参数的敏感性，一段时间混沌振荡后的无界现象(称为预无界混池） ，由周期运动经一连串倍周期分岔直至混浊等。这些现象对理论研究与工程实践都具有重要意义。 |
- Similar Words：
- "period demand signal" English translation, "period depletion" English translation, "period depreciation charge" English translation, "period depreciation charges" English translation, "period depreciaton charge" English translation, "period element" English translation, "period end cutoff" English translation, "period ended" English translation, "period evaluation record" English translation, "period expense" English translation
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