NUMERICAL ANALYSIS FOR BEHAVIOR OF THE DUAL LORENZ SYSTEM BY USING MATHEMATICA

Abstract

The Dual Lorenz system as the system of differential equations was obtained in the paper [1] and its dynamical analysis was done in the paper [2]. In this paper, by using Runge-Kuta method via mathematical software Mathematica will be made numerical analysis for the behavior of the Dual Lorenz system for a finite time t (as in the paper [3]). From the papers [1] and [2], the main role for the behavior of the Dual Lorenz system has the value of the parameter r, therefore the numerical analysis of the Dual Lorenz system will be made via the changing of the parameter r so that: we will change the parameter r and the parameter σ and b will remain fixed, we will change the parameters r and σ (or b) and the third parameter b (or σ) will remain fixed or we will change all three parameters in parametric space (σ,r,b).