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math.DS2021
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…
math.DS2021
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…