Study of dynamical systems from the viewpoint of complexity and computational capabilities


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We study a system of nonlinear differential equations that can sort numbers fed to the input as the initial conditions. We suggest a method that permits using similar systems to solve conditional optimization problems. We show that the trace maximization property ensuring the solution of the sorting problem holds for a more general class of systems. A number of modifications and generalizations are suggested.

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A. Gladkikh

Moscow Institute of Physics and Technology; Keldysh Institute of Applied Mathematics

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Email: andrei.gladkikh@phystech.ru
俄罗斯联邦, Moscow; Moscow

G. Malinetskii

Moscow Institute of Physics and Technology; Keldysh Institute of Applied Mathematics

Email: andrei.gladkikh@phystech.ru
俄罗斯联邦, Moscow; Moscow

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