USE OF THE ADAMS-BASHFORTH FOURTH-ORDER SCHEME IN THE NUMERICAL SIMULATION OF DYNAMIC SYSTEMS

Resumo

Generally, the real physical systems are chaotic and /or dynamics, modeling problems in

conditions similar to this one will be discussed in this work, testing a method that numerically and ap-
propriately models the problems of this class. Ordinary differential equations are used to model these

physical systems, since they present non-linear, deterministic and three-dimensional characteristics. The

numerical method of type predictor-corrector of fourth-order Adams-Bashforth was tested for conduct-
ing simulations. The use of this method proved to be efficient for these types of systems. The method

appropriately simulates the Lorenz Attractor, other models familiar to Lorenz are analyzed, such as the
attractor of Lorenz with source term, attractor of Rossler, attractor of Pan-Xu-Zhou, attractor of Chen and ̈
the modified Chen attractor which are fundamental systems for the processing and estimation of climatic

phenomena, whether natural or controlled forms. The fourth-order Adams-Brashforth method appro-
priately simulated the dynamic systems mentioned, which has proved to be efficient when compared to

other scientific works.