This graph shows correspondence between the Mandelbrot set and the logistic map, which explains how complex, chaotic behavior can arise from simple non-linear dynamical equations.
这幅图片展示了曼德尔勃特集合(Mandelbrot set)与离散混沌动力系统(logistic map)之间的一致性，这解释了复杂而无序的行为可以由简单的非线性动态方程序中得出。
The basic idea is to use the single crack solution and the expansions of the local coordinates to reduce the complicated problem into a set of linear algebraic equations.
基本思想是首先利用圆盘状单裂纹之解以及局部坐标展开法将裂纹群问题化为求解一组线代数方程。
A new linear analysis for magnetic helical instabilities of arc discharges in a cylindrical plasma is developed based on a set of electrostatic magnetohydrodynamic equations.
在静电磁流体方程基础上，提出了柱状放电电弧等离子体磁螺旋不稳定性的一种新的线性分析方法。
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