7 pages; 3 figures.International audienceIn this article the authors describe the method of construction of approximate chaotic solutions of dynamical model equations with quadratic nonlinearities in a general form using a new accurate numerical method. Numerous systems of chaotic dynamical systems of this type are studied in modern literature.The authors find the region of convergence of the method and offer an algorithm of construction and several criteria to check the accuracy of the approximate chaotic solutions

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The problem of identification of parameters of nonlinear system of differential equations is considered in this article. It's reduced to the problem of stabilization. To solve it, we use the method which has been developed in the last decade for nonlinear systems. The original system is transformed into a form suitable for the application of the proposed method. An algorithm for identifying data is presented, a numerical experiment for searching the parameters is shown.

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