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 AIP conference proceedings
%D 2016
%K ians imported
%N 1738, 1
%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.
@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 = {2019-06-17T14:25:24.000+0200},
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/21a1e60fa6003e312a20e5ac258c9d92c/britsteiner},
doi = {10.1063/1.4952177},
interhash = {55fe8e212d5696084928d03397b0034d},
intrahash = {1a1e60fa6003e312a20e5ac258c9d92c},
issn = {{0094-243X} and {1551-7616}},
keywords = {ians imported},
number = {1738, 1},
series = {AIP conference proceedings},
timestamp = {2019-06-17T12:34:15.000+0200},
title = {Approximating basins of attraction for dynamical systems via stable radial bases},
year = 2016
}