3 papers
math.DS2020
The Hamiltonian formalism of the Inverse Problem
Hassan Najafi Alishah
A big-isotropic structure is a generalization of the notion of Dirac structure, due to Vaisman. We discuss the inverse problem of deciding if a vector field is Hamiltonian having a…
math.DS2018
Conservative Replicator and Lotka-Volterra Equations in the context of Dirac big-isotropic Structures
Hassan Najafi Alishah
We introduce an algorithm to find possible constants of motion for a given replicator equation. The algorithm is inspired by Dirac geometry and a Hamiltonian description for the re…
math.DS2015
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…