Dynamics of piecewise linear interval maps with hysteresis

Authors
Berkolaiko, G
Citation
G. Berkolaiko, Dynamics of piecewise linear interval maps with hysteresis, DYN ST SYST, 14(1), 1999, pp. 57-70
Citations number
15
Categorie Soggetti
Mechanical Engineering
Journal title
DYNAMICS AND STABILITY OF SYSTEMS
ISSN journal
02681110 → ACNP
Volume
14
Issue
1
Year of publication
1999
Pages
57 - 70
Database
ISI
SICI code
0268-1110(199903)14:1<57:DOPLIM>2.0.ZU;2-H
Abstract
We study a special case of multistate maps, piecewise linear interval maps with hysteresis. The main object of study is the global attractor We find t he conditions for it to be lower semicontinuous. We also prove that it coin cides with the non-wandering set and prove several facts about omega-limit sets of the discontinuity points of the map.