21 citations · 74 across the 19 of their papers we have counts for
22 papers
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…
Learning coordination through new actions
Sofia B. S. D. Castro
We provide a novel approach to achieving a desired outcome in a coordination game: the original 2x2 game is embedded in a 2x3 game where one of the players may use a third action.…
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…
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…