It studies what factors dictate all reactions in the behavior of a system. It also studies the universal order of all similar systems. For example, when initial numbers in the start of an equation differ only slightly, one would expect the outcome to differ only slightly. In many cases, however, the outcome varies greatly and in no predictable pattern. But, the overall behavior is the same.
Chaos theory has very many applications of real life.
It is used to study population, epidemiology, and heart palpitations. Also, the study of fractals has been looked at more closely. Fractals are being used now more than ever. Movie theaters hope fractals will help them produce more realistic clouds, rocks, and even shadows. Fractals and chaos promise to be very exciting fields of converging math and science.