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В книге дано изложение теории и результатов, посвященных исследованию инвариантных соотношений уравнений динамики твердого тела. Выполнен анализ различных определений инвариантных соотношений обыкновенных дифференциальных уравнений и рассмотрено содержание опубликованных работ. Предложены новые подходы в изучении инвариантных соотношений и частных решений уравнений Гриоли и Кирхгофа, предложена классификация инвариантных соотношений уравнений движения гиростата под действием потенциальных и гироскопических сил. Книга предназначена для научных работников в области математики и механики, для студентов старших курсов и аспирантов.
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