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Название: Discovery of Closed Orbits of Dynamical Systems with the Use of Computers
Авторы: Sinai Ja.G., Vul E.B.
In this paper we derive a general criterion which can be used for the discovery with the use of a computer of closed orbits of systems of ordinary differential equations. We apply this criterion to the Lorenz model and show rigorously the existence of a closed orbit for the case under consideration. In a subsequent paper we shall show how the stable manifold of this orbit determines the boundary of the stochastic attractor.