3 citations · 4 across the 7 of their papers we have counts for
8 papers
Symmetry reduction and soliton-like solutions for the generalized Korteweg-de Vries equation
Juan Manuel Conde Martín, David Blázquez-Sanz
We analyze the gKdV equation, a generalized version of Korteweg-de Vries with an arbitrary function . In general, for a function the Lie algebra of symmetries of gKdV…
Closed and asymptotic formulas for energy of some circulant graphs
David Blázquez-Sanz, Carlos Alberto Marín Arango
We consider circulant graphs G(r,N) where the vertices are the integers modulo N and the neighbours of 0 are {-r,...,-1,1,...,r}. The energy of G(r,N) is a trigonometric sum of N*r…
A note on the relation between joint and differential invariants
David Blázquez-Sanz, Juan Sebastián Díaz Arboleda
We discuss the general properties of the theory of joint invariants of a smooth Lie group action in a manifold. Many of the known results about differential invariants, including L…
Generalized Linear Cellular Automata in Groups and Difference Galois Theory
David Blazquez-Sanz, Weimar Muñoz
Generalized non-autonomous linear celullar automata are systems of linear difference equations with many variables that can be seen as convolution equations in a discrete group. We…
Galoisian approach for a Sturm-Liouville problem on the infinite interval
David Blazquez-Sanz, Kazuyuki Yagasaki
We study a Sturm-Liouville type eigenvalue problem for second-order differential equations on the infinite interval. Here the eigenfunctions are nonzero solutions exponentially dec…
Analytic and algebraic conditions for bifurcations of homoclinic orbits I: Saddle equilibria
David Blazquez-Sanz, Kazuyuki Yagasaki
We study bifurcations of homoclinic orbits to hyperbolic saddle equilibria in a class of four-dimensional systems which may be Hamiltonian or not. Only one parameter is enough to t…