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arXiv · 2008.12074

Tame topology and non-integrability of dynamical systems

Zbigniew Hajto·Rouzbeh Mohseni
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Abstract

In this paper we study the general concept of integrability in the broad sense within the frame of differential Galois theory. We concentrate on the gradient systems which are not integrable. In spite of it, if we consider them as the real dynamical systems, they have trajectories with finiteness properties of o-minimal type.

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Zbigniew Hajto, Rouzbeh Mohseni. 2020-08-27. Tame topology and non-integrability of dynamical systems. https://doi.org/10.4064/bc128-6

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