The Possibility of Increasing The Predictability Indices After Control of 3D-Continuous-Time System

This paper presents a consideration of three dimensional continuous autonomous system. The solution was arranged as a time series solved by the dverk7-8 method (Range Kuta7-8 method) for continuous time. The chaotic behaviors of the system are studied by using the binary (0-1) test, the fractal analysis, classification and analysis of the predictability of the time series through a Hurst Exponent, the basic dynamical properties of the system are analyzed by recognizing the sensitivity of the initial conditions and finding eigenvalues of finding equilibrium points that brought us to the control system, practical application by numerical simulation between before and after the control process are done. The results of chaotic test and analysis show the possibility to control the system through one of interior equilibrium points, and increased predictability indices after the control process.