Interconnection of Dirac Structures and Lagrange-Dirac Dynamical Systems

نویسندگان

  • Hiroaki Yoshimura
  • Henry Jacobs
  • Jerrold E. Marsden
چکیده

In the paper, we develop an idea of interconnection of Dirac structures and their associated LagrangeDirac dynamical systems. First, we briefly review the LagrangeDirac dynamical systems (namely, implicit Lagrangian systems) associated to induced Dirac structures. Second, we describe an idea of interconnection of Dirac structures; namely, we show how two distinct Lagrange-Dirac systems can be interconnected through a Dirac structure on the product of configuration spaces. Third, we also show the variational structure of the interconnected Lagrange-Dirac dynamical system in the context of the Hamilton-Pontryagin-d’Alembert principle. Finally, we demonstrate our theory by an example of mass-spring mechanical systems.

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تاریخ انتشار 2010