Analysis of Principles and Applications of Chaos Theory

As early as Aristotle’s period, people were trying to find rules to define nature. Centuries later, there came Newton’s Laws of Motion, it was ‘omnipotent’ in explaining everything under gravitation, up to early twentieth century. Then, Einstein proposed theory of special relativity (responsible for everything else without gravitation), and general relativity (generalizing gravitation and special relativity). Nevertheless, along with order there is chaos. Chaos theory was not explicitly realized until late in the twentieth centuries, and that was when people realized that chaos is also capable of explaining the world. Computers are good with handling large data calculations, which the development of chaos theory benefits from. This study discusses some fundamental ideas of chaos theory, and focus on how they can be used to predict near futures in complex systems such as weather forecasting, stock markets, and transport systems. According to the analysis, there are also limitations, which again relates to computing technologies. However, the future is bright as advanced technologies await in the big data era.