Dynamics of piecewise linear interval maps with hysteresis Academic Article uri icon


  • 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 non-wandering set and prove several facts about omega-limit sets of the discontinuity points of the map.

published proceedings

  • Dynamical Systems

author list (cited authors)

  • Berkolaiko, G.

complete list of authors

  • Berkolaiko, G

publication date

  • December 1999