4 papers
Finite switching near heteroclinic networks
S. B. S. D. Castro, L. Garrido-da-Silva
We address the level of complexity that can be observed in the dynamics near a robust heteroclinic network. We show that infinite switching, which is a path towards chaos, does not…
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…
Cyclic dominance in a two-person Rock-Scissors-Paper game
Liliana Garrido-da-Silva, Sofia B. S. D. Castro
The Rock-Scissors-Paper game has been studied to account for cyclic behaviour under various game dynamics. We use a two-person parametrised version of this game. The cyclic behavio…
Stability of quasi-simple heteroclinic cycles
Liliana Garrido-da-Silva, Sofia B. S. D. Castro
The stability of heteroclinic cycles may be obtained from the value of the local stability index along each connection of the cycle. We establish a way of calculating the local sta…