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Article: Reports outline nonlinear science study findings from University of Rostock.
- Article from:
- Journal of Mathematics
- Article date:
- November 10, 2009
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"In this article the geometric structure of Hamiltonian systems with ports is clarified. Particularly, it is shown that the theory of Hamiltonian systems with ports fits into the paradigm that the state space of a mechanical system should be modeled by a manifold M endowed with a(n almost) Dirac structure in a Courant algebroid," investigators in Rostock, Germany report.
"Here, the Courant algebroid is TM circle plus TM* circle plus E circle plus E*, where E is a vector bundle over M endowed with a flat covariant derivative del, and the bracket is [(X, alpha, lambda(out), lambda(in)), (X', alpha', lambda(out)', lambda(in)')] := (X, X'], L-X alpha' - i(X')d alpha ...