Abstract
These years, more and more experts are interested in chaos. Recently, chaos has extensive and successful applications as a burgeoning technology in many fields such as secure communication and signal processing et al. So chaos has been a challenging subject in the area of nonlinear control. The fractal theory is a very active branch of modem mathematics and non-linear theory. In the last decade, it has played an increasingly important role in image processing and analysis. This paper is non-linear science of chaos, the initial sensitivity, fractal dimension, and other relevant overview and analysis
Keywords：Chaos non-linear Sensitivity of the initial conditions fractal dimension
