In applied sciences it is often required to model and supervise temporal evolution of populations via dynamical systems. In this paper, we focus on the problem of approximating the basins of attraction of such models for each stable equilibrium point. We propose to reconstruct the basins via an implicit interpolant using stable radial bases, obtaining the surfaces by partitioning the phase space into disjoint regions. An application to a competition model presenting jointly three stable equilibria is considered.
%0 Conference Paper
%1 cavoretto2016approximating
%A Cavoretto, Roberto
%A De Marchi, Stefano
%A De Rossi, Alessandra
%A Perracchione, Emma
%A Santin, Gabriele
%B International Conference on Numerical Analysis and Applied Mathematics 2015 (ICNAAM 2015)
%C Melville, NY
%D 2016
%E Simos, Theodore
%E Tsitouras, Charalambos
%I AIP Publishing
%K fis ubs_10008 ubs_20013 ubs_30123 ubs_40305
%N 1738, 1
%P 390003
%R 10.1063/1.4952177
%T Approximating basins of attraction for dynamical systems via stable radial bases
%X In applied sciences it is often required to model and supervise temporal evolution of populations via dynamical systems. In this paper, we focus on the problem of approximating the basins of attraction of such models for each stable equilibrium point. We propose to reconstruct the basins via an implicit interpolant using stable radial bases, obtaining the surfaces by partitioning the phase space into disjoint regions. An application to a competition model presenting jointly three stable equilibria is considered.
%@ 978-0-7354-1392-4
@inproceedings{cavoretto2016approximating,
abstract = {In applied sciences it is often required to model and supervise temporal evolution of populations via dynamical systems. In this paper, we focus on the problem of approximating the basins of attraction of such models for each stable equilibrium point. We propose to reconstruct the basins via an implicit interpolant using stable radial bases, obtaining the surfaces by partitioning the phase space into disjoint regions. An application to a competition model presenting jointly three stable equilibria is considered.},
added-at = {2023-08-21T15:14:23.000+0200},
address = {Melville, NY},
author = {Cavoretto, Roberto and De Marchi, Stefano and De Rossi, Alessandra and Perracchione, Emma and Santin, Gabriele},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2cba4a16aeb6bde9bb4ceab786a1aae29/unibiblio-4},
booktitle = {International Conference on Numerical Analysis and Applied Mathematics 2015 (ICNAAM 2015)},
doi = {10.1063/1.4952177},
editor = {Simos, Theodore and Tsitouras, Charalambos},
eventdate = {2015-09-22/2015-09-28},
eventtitle = {International Conference on Numerical Analysis and Applied Mathematics 2015 (ICNAAM 2015)},
interhash = {55fe8e212d5696084928d03397b0034d},
intrahash = {cba4a16aeb6bde9bb4ceab786a1aae29},
isbn = {978-0-7354-1392-4},
keywords = {fis ubs_10008 ubs_20013 ubs_30123 ubs_40305},
language = {eng},
number = {1738, 1},
pages = 390003,
publisher = {AIP Publishing},
series = {AIP conference proceedings},
timestamp = {2023-09-01T10:38:42.000+0200},
title = {Approximating basins of attraction for dynamical systems via stable radial bases},
venue = {Rhodes, Greece},
year = 2016
}