The intrinsicality of Lie symmetries of un(k)(t)=Fn(t,un+a,•••,un+b)

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:227

Article

Jiang, ZH

关键词: discrete dynamical systems;    Lie point symmetries;   

DOI  :  10.1006/jmaa.1998.6100

来源: Elsevier

【 摘 要 】

Discrete dynamical systems (DDSs) of the form u(n)((k))(t) = F-n(t, u(n+a),...,u(n+b)) with k greater than or equal to 2 are studied for their Lie symmetries. We show that while there are DDSs admitting nonintrinsic Lie symmetries, locally analytic Lie symmetries of the DDSs in the above form must be intrinsic unless the DDSs are linear or weakly linear. These will thus provide great impetus for symmetry practitioners to concentrate on finding mainly the intrinsic Lie symmetries for practical DDSs. (C) 1998 Academic Press.

【 授权许可】

Free