Publications (14) Jose Maria Cano Torres publications

2023

  1. Algebraic and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one in several variables

    Journal of Symbolic Computation, Vol. 114, pp. 1-17

  2. Preface

    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

2022

  1. Existence and convergence of Puiseux series solutions for autonomous first order differential equations

    Journal of Symbolic Computation, Vol. 108, pp. 137-151

  2. Preface

    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

2021

  1. Algebraic, Rational and Puiseux Series Solutions of Systems of Autonomous Algebraic ODEs of Dimension One

    Mathematics in Computer Science, Vol. 15, Núm. 2, pp. 189-198

  2. Puiseux Series and Algebraic Solutions of First Order Autonomous AODEs – A MAPLE Package

    Communications in Computer and Information Science

  3. The local Poincaré problem for irreducible branches

    Revista matemática iberoamericana, Vol. 37, Núm. 6, pp. 2229-2244

2009

  1. The space of generalized formal power series solution of an ordinary differential equation

    Asterisque, pp. 61-81

2005

  1. Algebraic general solutions of algebraic ordinary differential equations

    Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC

  2. The Newton polygon method for differential equations

    Lecture Notes in Computer Science

2003

  1. Power Series Solutions for Non-Linear PDE's

    Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC

2001

  1. Formal solutions of linear PDEs and convex polyhedra

    Journal of Symbolic Computation, Vol. 32, Núm. 6, pp. 717-737

1997

  1. Construction of invariant curves for singular holomorphic vector fields

    Proceedings of the American Mathematical Society, Vol. 125, Núm. 9, pp. 2649-2650

1993

  1. On the series defined by differential equations, with an extension of the puiseux polygon construction to these equations

    Analysis, Vol. 13, Núm. 1-2, pp. 103-120