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 See more:   <Main>