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The behaviour of certain dynamical nonlinear systems are described in term as chaos,
i.e., systems' variables change with the time, displaying very sensitivity to initial conditions of
chaotic dynamics. In this paper, we study archetype systems of ordinary differential equations
in two-dimensional phase spaces of the Rössler model. A system displays continuous time chaos
and is explained by three coupled nonlinear differential equations. We study its characteristics
and determine the control parameters that lead to different behavior of the system output,
periodic, quasi-periodic and chaos. The time series, attractor, Fast Fourier Transformation and
bifurcation diagram for different values have been described.