Properties of basins of attraction for planar discrete cooperative maps
Properties of basins of attraction for planar discrete cooperative maps
<p style='text-indent:20px;'>It is shown that locally asymptotically stable equilibria of planar cooperative or competitive maps have basin of attraction <inline-formula><tex-math id="M1">\begin{document}$ \mathcal{B} $\end{document}</tex-math></inline-formula> with relatively simple geometry: the boundary of each component of <inline-formula><tex-math id="M2">\begin{document}$ \mathcal{B} $\end{document}</tex-math></inline-formula> consists of the union of two unordered curves, and the components of <inline-formula><tex-math …