16 citations · 39 across the 5 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
Hamiltonian Evolutionary Games
Hassan Najafi Alishah, Pedro Duarte
We introduce a class of o.d.e.'s that generalizes to polymatrix games the replicator equations on symmetric and asymmetric games. We also introduce a new class of Poisson structure…
Realization of tangent perturbations in discrete and continuous time conservative systems
Hassan Najafi Alishah, João Lopes Dias
We prove that any perturbation of the symplectic part of the derivative of a Poisson diffeomorphism can be realized as the derivative of a -close Poisson diffeomorphism. We al…
Tracing KAM tori in presymplectic dynamical systems
Hassan Najafi Alishah, Rafael de la Llave
We present a KAM theorem for presymplectic dynamical systems. The theorem has a " a posteriori " format. We show that given a Diophantine frequency and a family of presymplecti…