Chocano Feito, Pedro JoséLuzón, AnaAlonso Morón, ManuelPrieto Martínez, Luis Felipe2023-06-222023-06-222022-12-31https://hdl.handle.net/20.500.14352/72844We point out how to use the classical characteristic method, that is used to solve quasilinear PDE's, to obtain the matrix exponential of some lower triangle infinite matrices. We use the Lie Frechet structure of the Riordan group described in [4]. After that we describe some linear dynamical systems in K[[x]] with a concrete involution being a symmetry or a time-reversal symmetry for them. We take this opportunity to assign some dynamical properties to the Pascal Triangle.engjournal articleopen access517.95Ecuaciones diferenciales1202.07 Ecuaciones en Diferencias