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

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

Description

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.

Dataset file

MinimalPeriods_genus1-54.zip
140.4kB, MD5 115b783b1e7a65d4b70f7a17c1d05137, downloads: 26

Details

Year of publication:
2019
Creation date:
2018
Dataset language:
English
Fields of science:
  • Mathematics (Natural sciences)
License:
CC BY
Attribution
DOI:
10.34808/9aj1-1977 open in new tab
Funding:
Verified by:
Gdańsk University of Technology

Keywords

References

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