38 citations · 99 across the 21 of their papers we have counts for
3 papers · 1 filter
Stability of cycles in a game of Rock-Scissors-Paper-Lizard-Spock
Sofia B. S. D. Castro, Liliana Garrido-da-Silva, Ana Ferreira +1
We study a system of ordinary differential equations in R5 that is used as a model both in population dynamics and in game theory, and is known to exhibit a heteroclinic network co…
Qualitative planar dynamics with star nodes and homogeneous nonlinearities: beyond Hilbert's problem
Begoña Alarcón, Sofia B. S. D. Castro, Isabel S. Labouriau
This is a full study of the dynamics of polynomial planar vector fields whose linear part is a multiple of the identity and whose nonlinear part is a homogeneous polynomial of arbi…
Periodic forcing of a heteroclinic network
Isabel S. Labouriau, Alexandre A. P. Rodrigues
We present a comprehensive mechanism for the emergence of rotational horseshoes and strange attractors in a class of two-parameter families of periodically-perturbed differential e…