8 citations · 16 across the 10 of their papers we have counts for
10 papers
On Poincaré lemma or Volterra theorem about differential forms and cohomology groups
A. Lesfari
The Poincaré lemma (or Volterra theorem) is of utmost importance both in theory and in practice. It tells us every differential form which is closed, is locally exact. In other wor…
Symplectic manifolds and Hamiltonian dynamical systems
A. Lesfari
This paper is devoted to the study of symplectic manifolds and their connection with Hamiltonian dynamical systems. We review some properties and operations on these manifolds and…
Isospectral deformations, the spectrum of Jacobi matrices, infinite continued fraction and difference operators. Application to dynamics on infinite dimensional systems
A. Lesfari
This paper is devoted to the study of some connections between coadjoint orbits in infinite dimensional Lie algebras, isospectral deformations and linearization of dynamical system…
The Hénon-Heiles system as part of an integrable system in five unknowns with three constants of motions
A. Lesfari
In this paper we construct a new completely integrable system. This system is an instance of a master system of differential equations in unknowns having quartics constants…
Etude Des Solutions Meromorphes D'Equations Differentielles
A. Lesfari
In this paper we shall study differential equations in the complex domain. The method of indeterminate coefficients and the majorant method lead to a proof of the existence and uni…
The Yang Mills system and cyclic covering of abelian varieties
A. Lesfari
In this paper, we consider a dynamical system related to the Yang-Mills system for a field with gauge group SU(2). We solve this system in terms of genus two hyperelliptic function…