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- W3030392106 abstract "We consider the results of applying the method of generic Cole-Hopf substitutions to integration of finite-dimensional dynamical systems. Dynamical systems are represented in the form of matrix ordinary differential equations with specific matrix algebra of finite dimension. The Cole-Hopf type substitutions are applied to matrix equations by using the differentiation on algebra in the form of commutator with a specific algebra element. Recurrent relations for Cole-Hopf substitutions were found. Particular cases of exactly integrable dynamical systems are presented. The algorithm of calculating the integrals of motion is shown." @default.
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- W3030392106 date "2011-03-15" @default.
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- W3030392106 title "Method of general Сoule-Hopf substitutions in theory of finite-dimensional dynamical systems" @default.
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