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

Study of dynamical systems from the viewpoint of complexity and computational capabilities 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

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

Differential Equations , Volume 52 (7) – Aug 9, 2016

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References (12)

Publisher
Springer Journals
Copyright
Copyright © 2016 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266116070090
Publisher site
See Article on Publisher Site

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.

Journal

Differential EquationsSpringer Journals

Published: Aug 9, 2016

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