Fractal behavior of complex systems

One of the most important properties in the systems is the complexity. In a simple way, we can define the complexity of a system as the number of elements that it contains and their number of interrelations. When a great level of complexity exists in a system, it is considered as a complex system. The complex systems can be soft systems and hard systems. In the hard systems when their elements are interrelated in a non-linear way, they are considered as complex systems, that is to say, the complex systems are those that contain a great number of elements interacting in a non-linear way. To try to understand the behavior of this type of systems diverse mathematical tools have been developed. A new scientific discipline with great impact in the analysis of the complex systems has been developed in the last years, we refer to the fractal analysis. The study of the complex systems in the frame mark of the fractal theory has been recognized in recent years as a new scientific discipline, being sustained on the advances that have been made in diverse fields ranging from physics to economy. In this paper the history and the basic concepts of the fractal analysis of complex systems are discussed briefly and also an oil crude price volatility fractal analysis is shown. Copyright