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math-ph2012★ 18 cited
A generalization of λ-symmetry reduction for systems of ODEs: σ-symmetries
Giampaolo Cicogna, Giuseppe Gaeta, Sebastian Walcher
We consider a deformation of the prolongation operation, defined on sets of vector fields and involving a mutual interaction in the definition of prolonged ones. This maintains the…
math-ph2012★ 6 cited
Orbital reducibility and a generalization of lambda symmetries
Giampaolo Cicogna, Giuseppe Gaeta, Sebastian Walcher
We review the notion of reducibility and we introduce and discuss the notion of orbital reducibility for autonomous ordinary differential equations of first order. The relation bet…