Geodesic
Construction of energetic functions for $\Omega$-stable diffeomorphisms on $2$- and $3$-manifolds
Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 63 (2017) no. 2, pp. 191-222

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In this paper, we review the results connected to existence of the energetic function for discrete dynamical systems. Also we consider technique of construction of such functions for some classes of $\Omega$-stable and structurally stable diffeomorphisms on manifolds of dimension $2$ and $3$. 
@article{CMFD_2017_63_2_a0,
     author = {V. Z. Grines and O. V. Pochinka},
     title = {Construction of energetic functions for $\Omega$-stable diffeomorphisms on $2$- and $3$-manifolds},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {191--222},
     publisher = {mathdoc},
     volume = {63},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2017_63_2_a0/}
}
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V. Z. Grines; O. V. Pochinka. Construction of energetic functions for $\Omega$-stable diffeomorphisms on $2$- and $3$-manifolds. Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 63 (2017) no. 2, pp. 191-222. http://geodesic.mathdoc.fr/item/CMFD_2017_63_2_a0/