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Интеллектуальная Система Тематического Исследования НАукометрических данных |
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The purpose of this report is to demonstrate the search for integrability conditions by the normal form method. We have chosen an equation of the Liénard-type as the object of the demonstration. We presented the equation as a dynamical system and parameterized it. We constructed polynomial equations in the system parameters which is satisfied for many exactly solvable cases. Also, we created the integrable case from the solution of these equations.