THE EXISTENCE OF LIE SYMMETRIES FOR FIRST-ORDER ANALYTIC DISCRETE DYNAMICAL-SYSTEMS

Authors
JOSHI N VASSILIOU PJ
Citation
N. Joshi et Pj. Vassiliou, THE EXISTENCE OF LIE SYMMETRIES FOR FIRST-ORDER ANALYTIC DISCRETE DYNAMICAL-SYSTEMS, Journal of mathematical analysis and applications, 195(3), 1995, pp. 872-887
Citations number
10
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
195
Issue
3
Year of publication
1995
Pages
872 - 887
Database
ISI
SICI code
0022-247X(1995)195:3<872:TEOLSF>2.0.ZU;2-4
Abstract
If a first-order discrete dynamical system (DDS) possesses a continuou s symmetry, the system is known to be linearizable. In this paper, we show that a first-order analytic DDS always possesses a symmetry in a neighbourhood of a hyperbolic fixed point. (C) 1995 Academic Press, In c.