138 citations
- Universidad de ZaragozaES34 papers
- Centro Universitario de la Defensa en San JavierES10 papers
- Consejo Superior de Investigaciones CientíficasES8 papers
- Instituto de Biocomputación y Física de Sistemas Complejos8 papers
- Instituto Universitario de Matemáticas y AplicacionesES7 papers
- Fundacion Agencia Aragonesa para la Investigacion y el DesarrolloES6 papers
- Sapienza University of RomeIT5 papers
- Universidad Autónoma de MadridES5 papers
- Universidad Complutense de MadridES5 papers
- Universidade de Santiago de CompostelaES5 papers
- Universitat Politècnica de CatalunyaES5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
11 papers · 1 filter
Multisymplectic structures and invariant tensors for Lie systems
X. Gràcia, J. de Lucas, M. C. Muñoz-Lecanda +1
A Lie system is the non-autonomous system of differential equations describing the integral curves of a non-autonomous vector field taking values in a finite-dimensional Lie algebr…
Geometry of Riccati equations over normed division algebras
J. de Lucas, M. Tobolski, S. Vilariño
This work presents and studies Riccati equations over finite-dimensional normed division algebras. We prove that a Riccati equation over a finite-dimensional normed division algebr…
An algebraic approach to the minimum-cost multi-impulse orbit transfer problem
Martin Avendano, Verónica Martín-Molina, Jorge Martín-Morales +1
We present a purely algebraic formulation (i.e. polynomial equations only) of the minimum-cost multi-impulse orbit transfer problem without time constraints, while keeping all the…
Hamilton-Jacobi theory in multisymplectic classical field theories
Manuel de León, Pedro Daniel Prieto-Martínez, Narciso Román-Roy +1
The geometric framework for the Hamilton-Jacobi theory developed in previous works is extended for multisymplectic first-order classical field theories. The Hamilton-Jacobi problem…
A new application of k-symplectic Lie systems
J. de Lucas, M. Tobolski, S. Vilariño
The -symplectic structures appear in the geometric study of the partial differential equations of classical field theories. Meanwhile, we present a new application of the -sy…
k-symplectic Lie systems: theory and applications
J. de Lucas, S. Vilariño
A Lie system is a system of first-order ordinary differential equations describing the integral curves of a -dependent vector field taking values in a finite-dimensional real Li…