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1)  4-regular graph
四岔图
2)  four legs intersection
四岔交叉
3)  four-ways
四岔路口
4)  bifurcation diagram
分岔图
1.
The dynamic behavior of the gear train with variation of external excitation and backlash is investigated by calculating its bifurcation diagram and its maximum lyapunov exponent.
计算了系统随外载荷和齿侧间隙变化的分岔图与对应的最大李雅谱诺夫指数图,分析了系统动力学特性的变化情况,并计算了周期状态和混沌状态下的相空间轨线、Poincare截面和关联维数,以不同的定性与定量分析方法对系统进行了细致地研究。
2.
Taking the one-dimensional Logistical map and two-dimensional Henon map as example, a method obtaining bifurcation diagram of discrete systems in circuit by means of analogous components and digital components is introduced.
将模拟器件和数字器件相结合,以一维Logistic映象和二维 Henon映象为例,介绍了在电路上实现离散系统分岔图的方法,实验结果与数值计算的结果非常一致。
3.
When subsystems are hyperchaotic, an identical system parameter is determined according to the bifurcation diagrams of the subsystems.
依据系统的分岔图确定了各个子系统都处于混沌状态时,系统参数的取值范围。
5)  bifurcation diagrams
分岔图
1.
By the phase portrait,global bifurcation diagrams and Lyapunov exponents map,the chaos forming process of the system is studied under the presented system parameters.
根据电路模型和基尔霍夫定律建立系统的动力学方程,求出系统的平衡点,利用系统的相平面图、分岔图和Lyapunov指数图分析系统的混沌形成过程。
2.
By the phase portrait and the global bifurcation diagrams,the chaos forming process of the system is studied under the presented system parameters.
利用系统的相图和分岔图分析系统的混沌形成过程,通过最大Lyapunov指数及Feigenbaum常数分析系统的非线性动态行为。
3.
The amplification ratio could be more than 10~9 at any position of the diagram, so it is convenient to observe the fine structures in chaotic regions of bifurcation diagrams of the Logistic map.
本文介绍了一种实现Logistic映射分岔图局部放大的计算机模拟方法,对Logistic映射分岔图上任意局部范围可实现109以上的放大,便于观察Logistic映射分岔图混沌区内的精细结构,该方法实现的计算机模拟过程响应速度快,可实时产生Logistic模型分岔图局部放大的计算机模拟图像,适合于课堂教学计算机模拟实时演示。
6)  bifurcation solution diagram
分岔解图
1.
Based on the theory of bifurcation and its DERPAR algorithm, the static bifurcation solution diagram of a typical twophase natural circulation system is analyzed using drift flux model, and compared with the results of homogenous model.
基于分岔理论及其DERPAR数值方法,运用漂移流模型分析典型两相自然循环系统的静态分岔解图,并与均相流模型的结果进行了比较。
补充资料:渔家四图四首
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