21 citations · 84 across the 27 of their papers we have counts for
28 papers
A global variational calculus on Fréchet manifolds and the Lagrangian structure of the Einstein evolution equations
José Antonio Vallejo
We develop a variational calculus for curves on Fréchet manifolds and apply it to the Lagrangian formulation of the Einstein evolution equations on the manifold $\Mm$ of Riemannian…
Closed stable orbits in a strongly coupled resonant Wilberforce pendulum
Misael Avendaño-Camacho, Alejandra Torres-Manotas, José A Vallejo
We prove the existence of closed stable orbits in a strongly coupled Wilberforce pendulum, for the case of a resonance, by using techniques of geometric singular symplectic r…
Symplectic scalar curvature on supermanifolds
R Hernández-Amador, JA Vallejo, Yu Vorobiev
We study the notion of symplectic scalar curvature on the supermanifold over an ordinary Fedosov manifold whose structural sheaf is that of differential forms. In this purely geome…
Using Oshima splines to produce accurate numerical results and high quality graphical output
Setsuo Takato, José A. Vallejo
We illustrate the use of Oshima splines in producing high-quality \LaTeX\ output in two cases: first, the numerical computation of derivatives and integrals, and second, the displa…
Synchronization of dynamical systems: an approach using a Computer Algebra System
Guillermo Dávila, Antonio Morante, José A Vallejo
The synchronization between two dynamical systems is one of the most appealing phenomena occurring in Nature. Already observed by Huygens in the case of two pendula, it is a curren…
The Poincaré-Cartan Form in Superfield Theory
Juan Monterde, Jaime Muñoz-Masqué, José Antonio Vallejo
An intrinsic description of the Hamilton-Cartan formalism for first-order Berezinian variational problems determined by a submersion of supermanifolds is given. This is achieved by…