54 citations · 266 across the 25 of their papers we have counts for
25 papers
MHD equilibria with incompressible flows: symmetry approach
G. Cicogna, F. Pegoraro
We identify and discuss a family of azimuthally symmetric, incompressible, magnetohydrodynamic plasma equilibria with poloidal and toroidal flows in terms of solutions of the Gener…
Convergence of normal form transformations: The role of symmetries
G. Cicogna, S. Walcher
We discuss the convergence problem for coordinate transformations which take a given vector field into Poincaré-Dulac normal form. We show that the presence of linear or nonlinear…
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…
Symmetries of dynamical systems and convergent normal forms
G. Cicogna
It is shown that, under suitable conditions, involving in particular the existence of analytic constants of motion, the presence of Lie point symmetries can ensure the convergence…
Generalized notions of symmetry of ODE's and reduction procedures
Giampaolo Cicogna
This paper describes the notion of σ-symmetry, which extends the one of λ-symmetry, and its application to reduction procedures of systems of ordinary differential equations and of…
On the connections between symmetries and conservation rules of dynamical systems
Giampaolo Cicogna
The strict connection between Lie point-symmetries of a dynamical system and its constants of motion is discussed and emphasized, through old and new results. It is shown in partic…