28 citations · 84 across the 5 of their papers we have counts for
5 papers
Discrete Lagrangian field theories on Lie groupoids
Joris Vankerschaver, Frans Cantrijn
We present a geometric framework for discrete classical field theories, where fields are modeled as "morphisms" defined on a discrete grid in the base space, and take values in a L…
Geometric aspects of nonholonomic field theories
Joris Vankerschaver, Frans Cantrijn, Manuel de Leon +1
A geometric model for nonholonomic Lagrangian field theory is studied. The multisymplectic approach to such a theory as well as the corresponding Cauchy formalism are discussed. It…
Skinner-Rusk approach to time-dependent mechanics
J. Cortes, S. Martinez, F. Cantrijn
The geometric approach to autonomous classical mechanical systems in terms of a canonical first-order system on the Whitney sum of the tangent and cotangent bundle, developed by R.…
Generalised connections over a vector bundle map
F. Cantrijn, B. Langerock
A generalised notion of connection on a fibre bundle E over a manifold M is presented. These connections are characterised by a smooth distribution on E which projects onto a (not…
On the geometry of generalized Chaplygin systems
F. Cantrijn, J. Cortes, M. de Leon +1
Some aspects of the geometry and the dynamics of generalized Chaplygin systems are investigated. First, two different but complementary approaches to the construction of the reduce…