21 citations · 74 across the 19 of their papers we have counts for
3 papers · 2 filters
Global planar dynamics with a star node and contracting nolinearity
Begoña Alarcón, Sofia B. S. D. Castro, Isabel S. Labouriau
This is a complete study of the dynamics of polynomial planar vector fields whose linear part is a multiple of the identity and whose nonlinear part is a contracting homogeneous po…
Stability of cycles and survival in a Jungle Game with four species
Sofia B. S. D. Castro, Ana M. J. Ferreira, Isabel S. Labouriau
The Jungle Game is used in population dynamics to describe cyclic competition among species that interact via a food chain. The dynamics of the Jungle Game supports a heteroclinic…
Arbitrarily large heteroclinic networks in fixed low-dimensional state space
Sofia B. S. D. Castro, Alexander Lohse
We consider heteroclinic networks between nodes where the only connections are those linking each node to its two subsequent neighbouring ones. Using a construct…