10 citations · 20 across the 6 of their papers we have counts for
7 papers
Stability of heteroclinic cycles: a new approach
Telmo Peixe, Alexandre A. Rodrigues
This paper analyses the stability of cycles within a heteroclinic network lying in a three-dimensional manifold formed by six cycles, for a one-parameter model developed in the con…
Persistent Strange attractors in 3D Polymatrix Replicators
Telmo Peixe, Alexandre A. Rodrigues
We introduce a one-parameter family of polymatrix replicators defined in a three-dimensional cube and study its bifurcations. For a given interval of parameters, this family exhibi…
Asymptotic Dynamics of Hamiltonian Polymatrix Replicators
Hassan Najafi Alishah, Pedro Duarte, Telmo Peixe
In a previous paper [3] we have studied flows defined on polytopes, presenting a new method to encapsulate its asymptotic dynamics along the edge-vertex heteroclinic network. These…
Periodic attractor in the discrete time best-response dynamics of the Rock-Paper-Scissors game
José Pedro Gaivão, Telmo Peixe
The Rock-Paper-Scissors (RPS) game is a classic non-cooperative game widely studied in terms of its theoretical analysis as well as in its applications, ranging from sociology and…
Conservative and Dissipative Polymatrix Replicators
Hassan Najafi Alishah, Pedro Duarte, Telmo Peixe
In this paper we address a class of replicator dynamics, referred as polymatrix replicators, that contains well known classes of evolutionary game dynamics, such as the symmetric a…
Asymptotic Poincaré Maps along the edges of Polytopes
Hassan Najafi Alishah, Pedro Duarte, Telmo Peixe
For a class of flows on polytopes, including many examples from Evolutionary Game Theory, we describe a piecewise linear model which encapsulates the asymptotic dynamics along the…
Rank of Stably Dissipative Graphs
Pedro Duarte, Telmo Peixe
For the class of stably dissipative Lotka-Volterra systems we prove that the rank of its defining matrix, which is the dimension of the associated invariant foliation, is completel…