Publications (33) ADRIAN RUIZ SERVAN publications

2024

  1. Exact solutions to a family of position-dependent mass damped oscillators from variational λ-symmetries

    Mathematical Methods in the Applied Sciences, Vol. 47, Núm. 2, pp. 891-906

2023

  1. C∞-structures in the integration of involutive distributions

    Physica Scripta, Vol. 98, Núm. 8

  2. C∞-symmetries of distributions and integrability

    Journal of Differential Equations, Vol. 348, pp. 126-153

  3. Generalized Solvable Structures Associated to Symmetry Algebras Isomorphic to .gl(2, R) ⋉ R

    Tutorials, Schools, and Workshops in the Mathematical Sciences (Birkhauser), pp. 141-154

  4. Integration of Differential Equations by C∞-Structures

    Mathematics, Vol. 11, Núm. 18

  5. On the integrability of -invariant fourth-order ordinary differential equations

    Mathematical Methods in the Applied Sciences

2022

  1. An illustrative application of the Lie symmetries in the context of first-order mechanical systems: Hathaway’s circular pursuit problem

    Acta Mechanica, Vol. 233, Núm. 3, pp. 1031-1039

  2. Exact general solutions for the mode shapes of longitudinally vibrating non-uniform rods via Lie symmetries

    Journal of Sound and Vibration, Vol. 538

  3. On a Qualitative and Lie Symmetry Analysis for a Pendulum with Two Reaction Wheels

    Quarterly Journal of Mechanics and Applied Mathematics, Vol. 75, Núm. 3, pp. 235-256

  4. Reduced motion equations of an axisymmetric body spinning on a horizontal surface via Lie symmetries

    Acta Mechanica, Vol. 233, Núm. 9, pp. 3853-3865

  5. Variational λ-symmetries and exact solutions to Euler-Lagrange equations lacking standard symmetries

    Mathematical Methods in the Applied Sciences, Vol. 45, Núm. 17, pp. 10946-10958

2021

  1. Systems of Vector Fields for the Integration of Ordinary Differential Equations

    SEMA SIMAI Springer Series (Springer Science and Business Media Deutschland GmbH), pp. 83-102

2020

  1. First integrals of differential operators from sl(2, r) symmetries

    Mathematics, Vol. 8, Núm. 12, pp. 1-18

  2. On the reduction of nonlinear mechanical systems via moving frames: a bead on a rotating wire hoop and a spinning top

    Acta Mechanica, Vol. 231, Núm. 12, pp. 4867-4879

  3. Parametric Solutions to a Static Fourth-Order Euler–Bernoulli Beam Equation in Terms of Lamé Functions

    Recent Advances in Pure and Applied Mathematics (Springer), pp. 93-103

2019

  1. Exact general solution and first integrals of a remarkable static Euler-Bernoulli beam equation

    Communications in Nonlinear Science and Numerical Simulation, Vol. 69, pp. 261-269

  2. Generalized Solvable Structures and First Integrals for ODEs Admitting an Symmetry Algebra

    Journal of Nonlinear Mathematical Physics, Vol. 26, Núm. 2, pp. 188-201

  3. Integration methods for equations without enough Lie point symmetries

    AIP Conference Proceedings

  4. Involutive pairs of λ-symmetries for nth-order ordinary differential equations

    Journal of Computational and Applied Mathematics, Vol. 354, pp. 562-568

  5. Moving frames for Lie symmetries reduction of nonholonomic systems

    Acta Mechanica, Vol. 230, Núm. 8, pp. 2963-2978