World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
48
Citations
8115
World Ranking
1214
National Ranking
18

Overview

Manuel de León is affiliated with the Institute of Mathematical Sciences in Spain. Their research spans multiple disciplines, primarily within engineering, mathematics, and physics and astronomy, with a strong focus on mathematical and physical methods applied to dynamic systems.

The scientist has contributed extensively to various subfields of study, including:

  • Control and Systems Engineering
  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Geometry and Topology
  • Numerical Analysis

Major topics in their work cover a range of areas intersecting dynamics, control, and topology, among them:

  • Homotopy and Cohomology in Algebraic Topology
  • Control and Stability of Dynamical Systems
  • Dynamics and Control of Mechanical Systems
  • Quantum chaos and dynamical systems
  • Control and Dynamics of Mobile Robots
  • Nonlinear Waves and Solitons
  • Numerical methods for differential equations

The scientist has a notable publication record, including research articles appearing in venues such as:

  • arXiv (Cornell University)
  • Journal of Geometry and Physics
  • Journal of Physics A Mathematical and Theoretical
  • Journal of Mathematical Physics
  • Geometric Mechanics

Selected recent papers include:

  • "Infinitesimal symmetries in contact Hamiltonian systems," 2020, Journal of Geometry and Physics
  • "Contact geometry for simple thermodynamical systems with friction: Contact geometry for thermodynamics," 2021, DIGITAL.CSIC (Spanish National Research Council (CSIC))
  • "Time-dependent contact mechanics," 2022, Monatshefte für Mathematik
  • "Optimal Control, Contact Dynamics and Herglotz Variational Problem," 2022, Journal of Nonlinear Science
  • "The Hamilton-Jacobi Theory for Contact Hamiltonian Systems," 2021, DIGITAL.CSIC (Spanish National Research Council (CSIC))

The scientist has collaborated frequently with several colleagues, including:

  • Manuel Laínz
  • Asier López-Gordón
  • Oğul Esen
  • Alexandre Anahory Simoes
  • Leonardo Colombo

In addition to journal articles, they have published books, including one with World Scientific titled Material Geometry (2020).

Best Publications

  • Methods of differential geometry in analytical mechanics

    Manuel de León;Paulo R. Rodrigues

  • Generalized classical mechanics and field theory : a geometrical approach of Lagrangian and Hamiltonian formalisms involving higher order derivatives

    Paulo R. Rodrigues;Manuel de León

  • Generalized classical mechanics and field theory

    Manuel de León;Paulo R. Rodrigues

  • Lagrangian submanifolds and dynamics on Lie algebroids

    Manuel de León;Juan C Marrero;Eduardo Martínez

  • On the geometry of multisymplectic manifolds

    Frans Cantrijn;A Ibort;M de Leon

  • On the geometry of non‐holonomic Lagrangian systems

    Manuel de León;David Martín de Diego

  • Contact Hamiltonian systems

    Manuel de León;Manuel Lainz Valcázar

  • Linear almost Poisson structures and Hamilton-Jacobi theory. Applications to nonholonomic Mechanics

    Manuel de León;Juan Carlos Marrero;David Martín de Diego

  • Differential Geometry of Frame Bundles

    Luis A. Cordero;C. T. J. Dodson;Manuel de León

  • Geometric Description of Vakonomic and Nonholonomic Dynamics. Comparison of Solutions

    J. Cortés;M. de León;D. Martínde Diego;S. Martínez

  • On the geometry of generalized Chaplygin systems

    Frans Cantrijn;Jorge Cortés;Manuel De León;David Martín De Diego

  • Nonholonomic Lagrangian systems on Lie algebroids

    Jorge Cortés;Manuel de León;Juan Carlos Marrero;Eduardo Martínez

  • Contact Hamiltonian Systems.

    Manuel Lainz Valcázar;Manuel de León

  • On almost-Poisson structures in nonholonomic mechanics

    F Cantrijn;M de León;D Martín de Diego

  • A SURVEY OF LAGRANGIAN MECHANICS AND CONTROL ON LIE ALGEBROIDS AND GROUPOIDS

    Jorge Cortés;Manuel De León;Juan C. Marrero;D. Martín De Diego

  • Nonholonomic Constraints: a New Viewpoint

    J. Grabowski;M. de León;J. C. Marrero;D. Martín de Diego

  • Reduction of nonholonomic mechanical systems with symmetries

    Frans Cantrijn;Manuel De León;Juan Carlos Marrero;David Martín De Diego

  • Gradient vector fields on cosymplectic manifolds

    F Cantrijn;M de Leon;E A Lacomba

  • Geometrical theory of uniform Cosserat media

    Marcelo Epstein;Manuel de Leon

  • Cosymplectic and contact structures for time-dependent and dissipative Hamiltonian systems

    M de León;C Sardón

  • Non-holonomic Lagrangian systems in jet manifolds

    Manuel de León;Juan Carlos Marrero;David Martín de Diego

  • Non-holonomic Lagrangian systems on Lie algebroids

    J. Cortes;M. de Leon;J.C. Marrero;E. Martinez

  • On the geometry of generalized Chaplygin systems

    F. Cantrijn;J. Cortes;M. de Leon;D. Martin de Diego

Frequent Co-Authors

Juan Carlos Marrero
Juan Carlos Marrero University of La Laguna
Sonia Martinez
Sonia Martinez University of California, San Diego
Fernando Maestú
Fernando Maestú Complutense University of Madrid

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