10 citations · 17 across the 5 of their papers we have counts for
5 papers
On the general structure of mathematical models for physical systems
D. H. Delphenich
It is proposed that the mathematical models for any physical systems that are based in first principles, such as conservation laws or balance principles, have some common elements,…
On the variational formulation of systems with non-holonomic constraints
D. H. Delphenich
In a previous article by the author, it was shown that one could effectively give a variational formulation to non-conservative mechanical systems by starting with the first variat…
Integrability and the variational formulation of non-conservative mechanical systems
David Delphenich
It is shown that one can obtain canonically-defined dynamical equations for non-conservative mechanical systems by starting with a first variation functional, instead of an action…
Projective geometry and special relativity
David Delphenich
Some concepts of real and complex projective geometry are applied to the fundamental physical notions that relate to Minkowski space and the Lorentz group. In particular, it is sho…
Symmetries and pre-metric electromagnetism
David Delphenich
The equations of pre-metric electromagnetism are formulated as an exterior differential system on the bundle of exterior differential 2-forms over the spacetime manifold. The gener…