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。
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.
以斜支承弹簧系统为研究对象，建立了矩形脉冲激励下系统非线性动力学方程。
The nonlinear dynamical equations of inclined support spring system were obtained under the excitation of rectangular pulse.
利用通路矢量和增广体概念导出系统的动力学普遍方程。
The general dynamical equations of the system are derived using the concepts of path vectors and augmented bodies.
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