Spotlights on Chaos Theory Basil Younis Thanoon

This paper sheds light on the theory of chaos, which is one of the latest mathematical theories. Some aspects of the scientific, applied and philosophical fields related to this theory are studied, then focus the spotlight on the solar system as one of the most important natural systems. The chaotic property is studied for three particulate mathematical models fitted the time series of the sunspots, one linear and two non linear. The long-term behavior of these models is examined . It is clear that one of the two non linear models gives similar behavior to the behavior of real data of sunspots. The behavior of this model has chaotic nature, which indicates that the solar system is a chaotic system. It also proposed a computer algorithm which shows the possibility of transmission of a phenomenon from the state of semi-nothingness, to the chaotic state, and then to the order and stability.