Opuscula Math. 39, no. 1 (2019), 5-22
Difference equations with impulses
Abstract. Difference equations with impulses are studied focussing on the existence of periodic or bounded orbits, asymptotic behavior and chaos. So impulses are used to control the dynamics of the autonomous difference equations. A model of supply and demand is also considered when Li-Yorke chaos is shown among others.
Keywords: difference equations, impulses, stability, fixed points, Li-Yorke chaos.
Mathematics Subject Classification: 37B55, 39A23, 39A33, 39A60.