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math.DG2011★ 14 cited
On the Geometry of Multi-Dirac Structures and Gerstenhaber Algebras
Joris Vankerschaver, Hiroaki Yoshimura, Melvin Leok
In a companion paper, we introduced a notion of multi-Dirac structures, a graded version of Dirac structures, and we discussed their relevance for classical field theories. In the…
math.DG2010
Stokes-Dirac Structures through Reduction of Infinite-Dimensional Dirac Structures
Joris Vankerschaver, Hiroaki Yoshimura, Melvin Leok +1
We consider the concept of Stokes-Dirac structures in boundary control theory proposed by van der Schaft and Maschke. We introduce Poisson reduction in this context and show how St…