7 citations · 13 across the 23 of their papers we have counts for
23 papers
Optimal control of counter-terrorism tactics
L. Bayon, P. Fortuny Ayuso, P. J. Garcia-Nieto +2
This paper presents an optimal control problem to analyze the efficacy of counter-terrorism tactics. We present an algorithm that efficiently combines the Minimum Principle of Pont…
The rational rank of the support of generalized power series solutions of differential and -difference equations
J. Cano, P. Fortuny Ayuso
Given a differential or -difference equation of order , we prove that the set of exponents of a generalized power series solution has its rational rank bounded by the rat…
Constructive solution of Zariski's Moduli Problem for Plane Branches
Pedro Fortuny Ayuso, Javier Ribón
In this paper we give an explicit solution to Zariski's moduli problem for plane branches. We compute (in an algorithmic way) the set of Kähler differentials of an irreducible germ…
Explicit Computation of The Generic Component of the Analytic Moduli of a Plane Branch
Pedro Fortuny Ayuso, Javier Ribón
Let be a fixed equisingularity class of irreducible germs of complex analytic plane curves. We compute a basis of the -module of Kähler differentia…
Complexity of Puiseux solutions of differential and -difference equations of order and degree one
José Cano Torres, Pedro Fortuny Ayuso, Javier Ribón
We relate the complexity of both differential and -difference equations of order one and degree one and their solutions. Our point of view is to show that if the solutions are c…
The Poincaré problem for reducible curves
Pedro Fortuny Ayuso, Javier Ribón
We provide sharp lower bounds for the multiplicity of a local holomorphic foliation defined in a complex surface in terms of data associated to a germ of invariant curve. Then we a…