ABSTRACT

A large number of real systems have a nonlinear behavior despite the idealized linear behavior used in modeling. The development of a new way of dealing with nonlinear systems is obvious. This “new way of dealing” exists already despite the fact that the study of the nonlinearity is still at the beginning. Some changes in nonlinear systems can lead to a complex and erratic behavior called chaos. The nonlinearity is one of the conditions needed by a system in order to develop chaos. The term chaos is used to describe the behavior of a system that is aperiodic and apparently random. S.H. Strogatz defi nes chaos as an aperiodic long time behavior developed by a deterministic system highly sensitive on initial condition. [1] Behind this apparently random behavior lies the deterministic character determined by the equations describing the system. Most of the systems that are used as examples to explain the concepts of chaos theory are deterministic.