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Variational structure of infinite-dimensional homogeneous systems with dilations | IEEE Conference Publication | IEEE Xplore

Variational structure of infinite-dimensional homogeneous systems with dilations


Abstract:

This paper shows the variational structure of infinite-dimensional homogeneous systems. We rewrite homogeneities with dilations by a unified representation, called catego...Show More

Abstract:

This paper shows the variational structure of infinite-dimensional homogeneous systems. We rewrite homogeneities with dilations by a unified representation, called category theory. First, a homogeneous functor connecting dilations with homogeneities is defined. Next, introducing the variational problem in the jet bundle formalism, we can see that a homogeneous Lagrangian density determines infinite-dimensional homogeneous Euler-Lagrange equations.
Date of Conference: 23-26 August 2009
Date Added to IEEE Xplore: 02 April 2015
Print ISBN:978-3-9524173-9-3
Conference Location: Budapest, Hungary

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