DYNAMICAL-SYSTEMS THAT ADMIT NORMAL DISPLACEMENT

Authors
BOLDIN AY SHAPIROV RA
Citation
Ay. Boldin et Ra. Shapirov, DYNAMICAL-SYSTEMS THAT ADMIT NORMAL DISPLACEMENT, Theoretical and mathematical physics, 97(3), 1993, pp. 1364-1369
Citations number
12
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
97
Issue
3
Year of publication
1993
Pages
1364 - 1369
Database
ISI
SICI code
0040-5779(1993)97:3<1364:DTAND>2.0.ZU;2-W
Abstract
The classical geometrical construction of Bianchi-Lie, Backlund, and D arboux transformations is considered and generalized for dynamical sys tems. For a transformation that generalizes normal displacement, a cla ss of dynamical systems that admit this transformation is found. A dif ferential equation that distinguishes dynamical systems in R2 that bel ong to this class is derived, and some solutions of it are considered.