Correspondences between jet spaces and PDE systems.

Jiménez, Sonia; Muñoz, Jesús; Rodríguez, Jesús

Displaying similar documents to “Correspondences between jet spaces and PDE systems.”

A differential geometric setting for dynamic equivalence and dynamic linearization

Jean-Baptiste Pomet (1995)

Banach Center Publications

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This paper presents an (infinite-dimensional) geometric framework for control systems, based on infinite jet bundles, where a system is represented by a single vector field and dynamic equivalence (to be precise: equivalence by endogenous dynamic feedback) is conjugation by diffeomorphisms. These diffeomorphisms are very much related to Lie-Bäcklund transformations. It is proved in this framework that dynamic equivalence of single-input systems is the same as static equivalence. ...

The contact system for $A$ -jet manifolds

R. J. Alonso-Blanco, J. Muñoz-Díaz (2004)

Archivum Mathematicum

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Jets of a manifold $M$ can be described as ideals of $𝒞^{\infty} (M)$ . This way, all the usual processes on jets can be directly referred to that ring. By using this fact, we give a very simple construction of the contact system on jet spaces. The same way, we also define the contact system for the recently considered $A$ -jet spaces, where $A$ is a Weil algebra. We will need to introduce the concept of derived algebra.