41 citations · 86 across the 3 of their papers we have counts for
3 papers
math.DS2014★ 4 cited
Side conditions for ordinary differential equations
G. Cicogna, G. Gaeta, S. Walcher
We specialize Olver's and Rosenau's side condition heuristics for the determination of particular invariant sets of ordinary differential equations. It turns out that side conditio…
math-ph2013★ 41 cited
Partial Lie-point symmetries of differential equations
G. Cicogna, G. Gaeta
When we consider a differential equation whose set of solutions is , a Lie-point exact symmetry of this is a Lie-point invertible transformation such that $T(…
math-ph2013★ 41 cited
Normal Forms, symmetry, and linearization of dynamical systems
D. Bambusi, G. Cicogna, G. Gaeta +1
We discuss how the presence of a suitable symmetry can guarantee the perturbative linearizability of a dynamical system - or a parameter dependent family - via the Poincaré Normal…