Database of the minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms of a connected sum of g real projective planes.

Morse–Smale diffeomorphisms, structurally stable and having relatively simple dynamics, constitute an important subclass of diffeomorphisms that were carefully studied during past decades. For a given Morse–Smale diffeomorphism one can consider “Minimal set of Lefschetz periods”, which provides the information about the set of periodic points of considered map, as it is the subset of its minimal periods. The dataset consists of 54 files indexed by numbers g=1,...,54. Each file provides all minimal sets of Lefschetz periods for Morse–Smale diffeomorphisms of N(g), a non-orientable compact surface without boundary of genus g (i.e. a connected sum of g real projective planes). The algorithm for computing the datasets, as well as its justification, are available in the paper: G. Graff, M. Lebiedź, A. Myszkowski, Periodic expansion in determining minimal sets of Lefschetz periods for Morse–Smale diffeomorphisms, J. Fixed Point Theory Appl. (2019) 21:47, https://doi.org/10.1007/s11784-019-0680-4.