HP Labs Technical Reports
Click here for full text:
Dynamics of Piecewise Linear Interval Maps with Hysteresis
Berkolaiko, G.
HPLBRIMS9824
Keyword(s): multistate map; discrete dynamics; global attractor; hysteresis
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 the conditions for it to be lower semicontinuous. We also prove that it coincides with the nonwandering set and prove several facts about omegalimit sets of the discontinuity points of the map. Notes: School of Mathematics, University of Bristol, Bristol, BS8 1TW
21 Pages
Back to Index
