Publicacións en colaboración con investigadores/as de Instituto de Ciencias Matemáticas (24)

2024

  1. A new perspective on nonholonomic brackets and Hamilton–Jacobi theory

    Journal of Geometry and Physics, Vol. 198

  2. Almost-Poisson Brackets for Nonholonomic Systems with Gyroscopic Terms and Hamiltonisation

    Journal of Nonlinear Science, Vol. 34, Núm. 6

  3. From retraction maps to symplectic-momentum numerical integrators

    IFAC-PapersOnLine

  4. Reduction by Symmetries of Contact Mechanical Systems on Lie Groups

    SIAM Journal on Applied Algebra and Geometry, Vol. 8, Núm. 4, pp. 821-845

2023

  1. A nonholonomic Newmark method

    Journal of Computational and Applied Mathematics, Vol. 421

  2. Nonholonomic Brackets: Eden Revisited

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

2022

  1. Exact discrete Lagrangian mechanics for nonholonomic mechanics

    Numerische Mathematik, Vol. 151, Núm. 1, pp. 49-98

  2. Jacobi fields in nonholonomic mechanics

    Journal of Physics A: Mathematical and Theoretical, Vol. 55, Núm. 4

2021

  1. LOCAL CONVEXITY for SECOND ORDER DIFFERENTIAL EQUATIONS on A LIE ALGEBROID

    Journal of Geometric Mechanics, Vol. 13, Núm. 3, pp. 477-499

  2. Radial kinetic nonholonomic trajectories are Riemannian geodesics!

    Analysis and Mathematical Physics, Vol. 11, Núm. 4

2020

  1. Invariant measures for contact Hamiltonian systems: symplectic sandwiches with contact bread

    Journal of Physics A: Mathematical and Theoretical, Vol. 53, Núm. 45

2018

  1. Automorphisms for Connections on Lie Algebroids

    Mediterranean Journal of Mathematics, Vol. 15, Núm. 3

  2. Ultrametric spaces of branches on arborescent singularities

    Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics: Festschrift for Antonio Campillo on the Occasion of his 65th Birthday (Springer International Publishing), pp. 55-106

2015

  1. Morse families in optimal control problems

    SIAM Journal on Control and Optimization, Vol. 53, Núm. 1, pp. 414-433

  2. The local description of discrete mechanics

    Fields Institute Communications, Vol. 73, pp. 285-317

2013

  1. Poly-Poisson Structures

    Letters in Mathematical Physics, Vol. 103, Núm. 10, pp. 1103-1133

2010

  1. A unified framework for mechanics: Hamilton-Jacobi equation and applications

    Nonlinearity, Vol. 23, Núm. 8, pp. 1887-1918

  2. Hamilton-Jacobi theory in k-symplectic field theories

    International Journal of Geometric Methods in Modern Physics, Vol. 7, Núm. 8, pp. 1491-1507

  3. Variational constrained mechanics on lie affgebroids

    Discrete and Continuous Dynamical Systems - Series S, Vol. 3, Núm. 1, pp. 105-128

2009

  1. Courant morphisms and moment maps

    Mathematical Research Letters, Vol. 16, Núm. 2, pp. 215-232