Publication Date:
2008
Citation:
Nonlocal interpretation of [lambda]-symmetries / D. Catalano Ferraioli - In: Symmetry and Perturbation Theory / [a cura di] Giuseppe Gaeta, Sebastian Walcher, Raffaele Vitolo. - Singapore : World Scientific, 2008 Feb. - ISBN 978-981-277-616-7. - pp. 241-242 (( Intervento presentato al 6. convegno SYMMETRY AND PERTURBATION THEORY tenutosi a Otranto nel 2007.
abstract:
A reduction method of ODEs not possessing Lie point symmetries makes use of
the so called $\lambda$-symmetries. These symmetries are not standard
symmetries, nevertheless for any given $\lambda$-symmetry of an ODE $%
\mathcal{Y}$ one can always reconstruct nonlocal symmetries of $\mathcal{Y}$%
. As a consequence, using these nonlocal symmetries, the $\lambda$-symmetry
reduction method follows from the standard method of symmetry reduction by
differential invariants.
the so called $\lambda$-symmetries. These symmetries are not standard
symmetries, nevertheless for any given $\lambda$-symmetry of an ODE $%
\mathcal{Y}$ one can always reconstruct nonlocal symmetries of $\mathcal{Y}$%
. As a consequence, using these nonlocal symmetries, the $\lambda$-symmetry
reduction method follows from the standard method of symmetry reduction by
differential invariants.
IRIS type:
03 - Contributo in volume
Keywords:
ODEs, $\lambda$-symmetries ; symmetries ; nonlocal symmetries ;
coverings ; reduction ; integration by quadratures
List of contributors:
D. Catalano Ferraioli
Link to information sheet:
Book title:
Symmetry and Perturbation Theory