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Algebraic Limit Cycles in Piecewise Linear Differential Systems
(World Scientific Publ Co Pte Ltd, 2018-03-01)
This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential systems. In particular, we present examples exhibiting two explicit hyperbolic algebraic limit cycles, as well as some ...
Lie–Rinehart and Hochschild cohomology for algebras of differential operators
(Elsevier Science, 2021-01)
Let be a Lie–Rinehart algebra such that L is S-projective and let U be its universal enveloping algebra. In this paper we present a spectral sequence which converges to the Hochschild cohomology of U with values on a ...
Algebras de vértices libres y álgebras de Lie conformes no lineales
(2016-12)
El presente trabajo constituye una revisión de la construcción del álgebra de vértices universal envolvente de un álgebra de Lie conforme. Comenzamos dando los resultados básicos relacionados con las álgebras conformes y ...
Differential equations with natural matrices coefficients
(IOP Publishing, 2020)
In this paper we present the main results of the master thesis in applied mathematics
of the second named author, which was supervised by the first named author. Such results, and
for instance this paper, concerns to ...
Groups definable in partial differential fields with an automorphism
(2021-09-28)
In this paper we study groups definable in existentially closed partial differential fields
of characteristic 0 with an automorphism which commutes with the derivations. In particular, we study Zariski dense definable ...
Engel’s theoremEl teorema de Engel
(Pereira : Universidad Tecnológica de PereiraFacultad de Ciencias Básicas, 2011)
Operadores diferenciales de tipo de Lunts-Rosenberg de álgebras de matrices polinómicas, álgebras de caminos y álgebras de matrices triangulares formales
(2019-03)
En este trabajo estudiamos el anillo filtrado de operadores diferenciales sobre álgebras no conmutativas D(A) , formulado por primera vez de manera intrínseca por Lunts y Rosenberg. Describimos el anillo de operadores ...
QHWM of the orthogonal and symplectic types Lie subalgebras of the Lie algebra of the matrix quantum pseudo differential operators
(Unión Matemática Argentina, 2017-03)
In this paper we classify the irreducible quasifinite highest weight modules over the orthogonaland syplectic types Lie subalgebras of the Lie algebra of the matrix quantum pseudodifferential operators. We also realize ...
Invariant Algebraic Surfaces and Impasses
(2021-07-01)
Polynomial vector fields X: R3→ R3 that have invariant algebraic surfaces of the form M={f(x,y)z-g(x,y)=0}are considered. We prove that trajectories of X on M are solutions of a constrained differential system having I= { ...