Differential-difference equations of the form u(n)=F-n(t,u(n-1),u(n),u(n+1)) are classified according to their continuous Lie point symmetry groups. It is shown that for nonlinear equations, the symmetry group can be at most seven-dimensional. The integrable Toda lattice is a member of this class and has a four-dimensional symmetry group. (C) 1996 American Institute of Physics.

Levi, D., Winternitz, P. (1996). Symmetries of discrete dynamical systems. JOURNAL OF MATHEMATICAL PHYSICS, 37(11), 5551-5576 [10.1063/1.531722].

Symmetries of discrete dynamical systems

LEVI, Decio;
1996-01-01

Abstract

Differential-difference equations of the form u(n)=F-n(t,u(n-1),u(n),u(n+1)) are classified according to their continuous Lie point symmetry groups. It is shown that for nonlinear equations, the symmetry group can be at most seven-dimensional. The integrable Toda lattice is a member of this class and has a four-dimensional symmetry group. (C) 1996 American Institute of Physics.
Levi, D., Winternitz, P. (1996). Symmetries of discrete dynamical systems. JOURNAL OF MATHEMATICAL PHYSICS, 37(11), 5551-5576 [10.1063/1.531722].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/155418
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 68
  • ???jsp.display-item.citation.isi??? 68
social impact