分形图像物理机制的系统研究

On the physical mechanism of fractal figure

分形的物理机制是非线性科学研究的重要课题.为了解决这一难题,笔者以广义进化综合理论为基础,以雪花生长模型为研究对象,结合曼德尔布罗特的分形理论,提出了分形图像形成过程的基本原理,即惯性原理,适应性原理,全息原理,二次叠加原理,优化选择原理.从而解释了分形图像生成的成因,为分形的生成机制和分形图像的具体应用提供了理论基础.分形形成过程的这种机制,比其它机制更具体化、更系统化;而且。

The physical mechanism of the fractal figure is one of the fundamental topics of the nonlinear science. To solve this problem, a series of principles of the formation of the fractal figures were put forward based on the growth model of the snowflake and two theories—the grand evolutionary synthesis(GES) and B.B. Mandelbrot's fractal theory, namely, the principle of inertia, principle of flexibility, principle of hologram, principle of twice addition and principle of optimizing choice. Using these principles, the physical mechanism of the growth of the fractal was built and the process of the formation of the fractal figures was explained, providing a theory foundation for the formation and application of the fractal figures. The new theory is compatible with experiment results and more concrete and organized than other theories.