Control of thermal diffusion fractal growth of thin plate under environmental disturbance
薄板热扩散分形生长的环境干扰控制

The control of thermal diffusion fractal growth of thin plate in reality under the environmental disturbance is introduced. The quantitative relationship between growth probability and environmental disturbance is obtained. According to the relationship, we predict that the growth surface will aggregate in the region of the environmental disturbance and be controlled by restricting the disturbance. The simulations show that the environmental disturbance, which is composed of a trigonometric function as a nonlinear term and a source term having a round region, controls the growth variation effectively. In addition, the change in fractal dimension of surface growth illustrates that the complexity of the growth increases as the environmental disturbance increases.