Approximating basins of attraction for dynamical systems via stable radial bases
Numerical Analysis
2016-06-29 v1
Abstract
In applied sciences, such as physics and biology, it is often required to model the evolution of populations via dynamical systems. In this paper, we focus on the problem of approximating the basins of attraction of such models in case of multi-stability. We propose to reconstruct the domains of attraction 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.
Keywords
Cite
@article{arxiv.1512.03937,
title = {Approximating basins of attraction for dynamical systems via stable radial bases},
author = {Roberto Cavoretto and Stefano De Marchi and Alessandra De Rossi and Emma Perracchione and Gabriele Santin},
journal= {arXiv preprint arXiv:1512.03937},
year = {2016}
}