On the polynomial entropy for Morse gradient systems

Rok, strany: 2019, 611 - 624

We adapt the construction from [\uppercase{Hauseux, L.—Le Roux, F.}: \textit{Polynomial entropy of Brouwer homeomorphisms}, arXiv:1712.01502 (2017)] to obtain an easy method for computing the polynomial entropy for a continuous map of a compact metric space with finitely many non-wandering points. We compute the maximal cardinality of a singular set of Morse negative gradient systems and apply this method to compute the polynomial entropy for Morse gradient systems on surfaces.

ISO 690:

Katić, J., Perić, M. 2019. On the polynomial entropy for Morse gradient systems. In Mathematica Slovaca, vol. 69, no.3, pp. 611-624. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0251

APA:

Katić, J., Perić, M. (2019). On the polynomial entropy for Morse gradient systems. Mathematica Slovaca, 69(3), 611-624. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0251