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Discrete dynamical systems over double cross-product Lie groupoids
(World Scientific, 2021-03)
Discrete Euler-Lagrange equations are studied over double cross product Lie groupoids. As such, a geometric framework for the local analysis of a discrete dynamical system is established. The arguments are elucidated on ...
On extensions, Lie-Poisson systems, and dissipation
(Heldermann Verlag, 2022-07-06)
Lie-Poisson systems on the dual spaces of unified products are studied. Having been equipped with a twisted 2-cocycle term, the extending structure framework allows not only to study the dynamics on 2-cocycle extensions, ...