Existence of Supercritical Hopf Bifurcation on a Type-Lorenz System

In this paper, a system of Lorenz-type ordinary differential equations is considered and, under some assumptions about the parameter space, presence supercritical non-degenerate Hopf bifurcation demonstrated. The technical tool used consists Central Manifold theorem, well-known formula to calculate Lyapunov coefficient and Hopf’s Theorem. For particular values parameters in space established main result work, graph presented that describes evolution trajectories, obtained by means numerical simulation.