Buscar
Mostrando ítems 1-10 de 840
Normal Forms for Polynomial Differential Systems in R-3 Having an Invariant Quadric and a Darboux Invariant
(World Scientific Publ Co Pte Ltd, 2015-01-01)
We give the normal forms of all polynomial differential systems in R-3 which have a nondegenerate or degenerate quadric as an invariant algebraic surface. We also characterize among these systems those which have a Darboux ...
Darboux invariants for planar polynomial differential systems having an invariant conic
(Springer, 2014-12-01)
We characterize all the planar polynomial differential systems with a unique invariant algebraic curve given by a real conic and having a Darboux invariant.
Integrability and Dynamics of Quadratic Three-Dimensional Differential Systems Having an Invariant Paraboloid
(2016-07-01)
Invariant algebraic surfaces are commonly observed in differential systems arising in mathematical modeling of natural phenomena. In this paper, we study the integrability and dynamics of quadratic polynomial differential ...
Normal Forms for Polynomial Differential Systems in R-3 Having an Invariant Quadric and a Darboux Invariant
(World Scientific Publ Co Pte Ltd, 2015)
Normal Forms for Polynomial Differential Systems in R-3 Having an Invariant Quadric and a Darboux Invariant
(World Scientific Publ Co Pte Ltd, 2015)
Quadratic three-dimensional differential systems having invariant planes with total multiplicity nine
(2018-12-01)
In this paper we consider all the quadratic polynomial differential systems in R3 having exactly nine invariant planes taking into account their multiplicities. This is the maximum number of invariant planes that these ...
Conformally invariant differential operators and bilinear functionals in six dimensionsConformally invariant differential operators and bilinear functionals in six dimensions
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 2008)
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= { ...