Dirac structures and Hamiltonian inverse problem, applications to linear systems and Lotka-Volterra equations
 
 
Description:  In this talk, I, first, will provide some preliminary definitions and observations on Dirac/big-isotropic structures and Hamiltonian inverse problem. Then I will present an algorithm to solve the Hamiltonian inverse problem for a given system written in the gradient form. Then I will discuss applications of this algorithm on Linear systems and Lotka-Volterra equation. In the case of Lotka-Volterra equations, this algorithm generalizes the well-known use of gauge transformations to skew-symmetrize the interaction matrix of a LV system which leads to a Hamiltonian description of LV systems.
Date:  2022-11-09
Start Time:   14:30
Speaker:  Hassan Alishah (Univ. Minas Gerais, Brazil)
Institution:  University of Minas Gerais
Research Groups: -Geometry
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