38 citations · 99 across the 21 of their papers we have counts for
4 papers · 1 filter
Transitions of bifurcation diagrams of a forced heteroclinic cycle
Isabel S. Labouriau, Alexandre A. P Rodrigues
A family of periodic perturbations of an attracting robust heteroclinic cycle defined on the two-sphere is studied by reducing the analysis to that of a one-parameter family of map…
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…
High frequency forcing of an attracting heteroclinic cycle
Isabel S. Labouriau, Alexandre A. P. Rodrigues
This article is concerned with the effect of time-periodic forcing on a vector field exhibiting an attracting heteroclinic network. We show that as the forcing frequency tends to i…
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…