jlubo/network_topology_and_stability

Random generation of networks of different topology and analysis of their asymptotic stability

Networks of different topology and their stability

Outline

The code provided here serves to randomly generate networks of different topology (in particular, small-world and scale-free topologies) and to analyze their asymptotic stability. In particular, it enables to investigate the stabilization of a network by adding self-coupling to its nodes.

The code has been developed and used for the following publication:

Luboeinski J, Claro L, Pomi A, Mizraji E. Stabilization through self-coupling in networks of small-world and scale-free topology. Sci. Rep. (2023). https://doi.org/10.1038/s41598-023-27809-8

If you use parts of the software package or the model for your research, please cite appropriately (see here for BibTeX references). Please feel free to contact us for any questions.

Build and run

This program uses GNU Scientific Library (GSL) v2.5 (it is therefore provided under the GNU General Public License v3). Please make sure that you have installed a suitable version of GSL before building the code. If you would like to have plots created automatically, also make sure that you have installed gnuplot.

The code comes with the following shell scripts for building:

• build_main - builds a program to generate and stabilize networks (to reproduce the results of the paper mentioned above)
• build_test - builds a test program to test specific aspects of the code

The code comes with the following shell scripts for running:

• run_main - runs different program calls to generate and stabilize networks (to reproduce the results of the paper mentioned above; this will create "SC_*" data directories and may take some time)
• run_test1 - runs different program calls to quickly test the functionality of the code (this will create "SC_*" data directories)
• run_test2 - runs a test program to test specific aspects of the code (this will create a file "Test_Main_out.txt")

License

This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this program (in "LICENSE.txt"). If not, see https://www.gnu.org/licenses/.