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The Constructing of Energy Functions for Ω-Stable Diffeomorphisms on 2- and 3-Manifolds

Journal of Mathematical Sciences. 2020. Vol. 250. P. 537–568.
Grines V., Pochinka O.

In this paper, we review results related to the existence of the energy function for discrete dynamical systems. Also, we consider the technique of constructing such functions for various classes of Ω-stable and structurally stable diffeomorphisms on manifolds of dimension 2 and 3.

Research target: Mathematics
Language: English
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Keywords: energy functionomega-stable diffeomorphisms
Publication based on the results of:
Теория динамических систем и ее приложения (2021)
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