69 citations · 209 across the 17 of their papers we have counts for
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math-ph2004★ 69 cited
On the geometry of lambda-symmetries, and PDEs reduction
G. Gaeta, P. Morando
We give a geometrical characterization of -prolongations of vector fields, and hence of -symmetries of ODEs. This allows an extension to the case of PDEs and systems of PDEs;…
math-ph2004
Variational principles for involutive systems of vector fields
G. Gaeta, P. Morando
In many relevant cases -- e.g., in hamiltonian dynamics -- a given vector field can be characterized by means of a variational principle based on a one-form. We discuss how a vecto…
math-ph2004★ 16 cited
Lie-Poincare' transformations and a reduction criterion in Landau theory
G. Gaeta
In the Landau theory of phase transitions one considers an effective potential whose symmetry group and degree depend on the system under consideration; generally speak…