Email this article Study of dynamical systems from the viewpoint of complexity and computational capabilities
- Authors: Gladkikh A.A.1,2, Malinetskii G.G.1,2
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Affiliations:
- Moscow Institute of Physics and Technology
- Keldysh Institute of Applied Mathematics
- Issue: Vol 52, No 7 (2016)
- Pages: 897-905
- Section: Numerical Methods
- URL: https://journals.rcsi.science/0012-2661/article/view/153921
- DOI: https://doi.org/10.1134/S0012266116070090
- ID: 153921
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Abstract
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.
About the authors
A. A. Gladkikh
Moscow Institute of Physics and Technology; Keldysh Institute of Applied Mathematics
Author for correspondence.
Email: andrei.gladkikh@phystech.ru
Russian Federation, Moscow; Moscow
G. G. Malinetskii
Moscow Institute of Physics and Technology; Keldysh Institute of Applied Mathematics
Email: andrei.gladkikh@phystech.ru
Russian Federation, Moscow; Moscow
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