9 papers
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…
Modular class of even symplectic manifolds
Juan Monterde, José Antonio Vallejo
We provide an intrinsic description of the notion of modular class for an even symplectic manifold and study its properties in this coordinate free setting.
Poisson brackets of even symplectic forms on the algebra of differential forms
Juan Monterde, José Antonio Vallejo
Given a symplectic form and a pseudo-riemannian metric on a manifold, a non degenerate even Poisson bracket on the algebra of differential forms is defined and its properties are s…
Supersymmetric sigma models and harmonic superfunctions
Jaime Muñoz-Masqué, José Antonio Vallejo
We study the relation between the Laplacian associated to an odd metric on a supermanifold and harmonic superfunctions, through the application of the calculus of variations to a s…
Composition operators on weighted spaces of holomorphic functions on triples
Michael Mackey, Pablo Sevilla-Peris, José A. Vallejo
We characterise continuity of composition operators on weighted spaces of holomorphic functions , where is the open unit ball of a Banach space which is homog…